Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
57701	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3+12x^2+48x-1	$f (x) = x^{3} + 12 x^{2} + 48 x - 1$
57702	Find Where Increasing/Decreasing Using Derivatives	f(x)=49x+25/x	$f (x) = 49 x + \frac{25}{x}$
57703	Find Where Increasing/Decreasing Using Derivatives	f(x)=12x^3-81x^2-324x+5	$f (x) = 12 x^{3} - 81 x^{2} - 324 x + 5$
57704	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-3x^3+5x	$f (x) = x^{4} - 3 x^{3} + 5 x$
57705	Find Where Increasing/Decreasing Using Derivatives	a(t)=0.0000284t^3-0.00505t^2+0.0682t+4.17	$a (t) = 0.0000284 t^{3} - 0.00505 t^{2} + 0.0682 t + 4.17$
57706	Find Where Increasing/Decreasing Using Derivatives	f(x)=-5x^3-15x^2+120x	$f (x) = - 5 x^{3} - 15 x^{2} + 120 x$
57707	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-3x+9	$f (x) = x^{3} - 3 x + 9$
57708	Find Where Increasing/Decreasing Using Derivatives	f(x)=2cos(x)+cos(x)^2	$f (x) = 2 \cos (x) + \cos^{2} (x)$
57709	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-12x^2+48x-3	$f (x) = x^{3} - 12 x^{2} + 48 x - 3$
57710	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4+12x^3+28x^2+6	$f (x) = x^{4} + 12 x^{3} + 28 x^{2} + 6$
57711	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^2(x-10)^3	$f (x) = x^{2} {(x - 10)}^{3}$
57712	Find Where Increasing/Decreasing Using Derivatives	f(x)=e^(0.5x)+4e^(-0.5x)	$f (x) = e^{0.5 x} + 4 e^{- 0.5 x}$
57713	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-7x^2-5x+5	$f (x) = x^{3} - 7 x^{2} - 5 x + 5$
57714	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3-6x^2-12x+1	$f (x) = - x^{3} - 6 x^{2} - 12 x + 1$
57715	Find Where Increasing/Decreasing Using Derivatives	f(x)=-2x^4-16x^3-32x^2	$f (x) = - 2 x^{4} - 16 x^{3} - 32 x^{2}$
57716	Find Where Increasing/Decreasing Using Derivatives	f(x)=6(x-8)^(2/3)+2	$f (x) = 6 {(x - 8)}^{\frac{2}{3}} + 2$
57717	Find Where Increasing/Decreasing Using Derivatives	f(x)=0.125x^4-2x^3-7x^2	$f (x) = 0.125 x^{4} - 2 x^{3} - 7 x^{2}$
57718	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^(1/3)(x^2-7)	$f (x) = x^{\frac{1}{3}} (x^{2} - 7)$
57719	Find Where Increasing/Decreasing Using Derivatives	f(x)=-0.003x^2+6x-5000	$f (x) = - 0.003 x^{2} + 6 x - 5000$
57720	Find Where Increasing/Decreasing Using Derivatives	f(x)=(8x-9)/x	$f (x) = \frac{8 x - 9}{x}$
57721	Find Where Increasing/Decreasing Using Derivatives	f(x)=2.1+3.2x-1.1x^2	$f (x) = 2.1 + 3.2 x - 1.1 x^{2}$
57722	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3+9x^2+27x-5	$f (x) = x^{3} + 9 x^{2} + 27 x - 5$
57723	Find Where Increasing/Decreasing Using Derivatives	g(x)=(x-3)^(4/5)	$g (x) = {(x - 3)}^{\frac{4}{5}}$
57724	Find Where Increasing/Decreasing Using Derivatives	T(x)=-0.5x^4+8x^3	$T (x) = - 0.5 x^{4} + 8 x^{3}$
57725	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-16x^2	$f (x) = x^{4} - 16 x^{2}$
57726	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-32x^2+8	$f (x) = x^{4} - 32 x^{2} + 8$
57727	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-4x+2	$f (x) = x^{4} - 4 x + 2$
57728	Find Where Increasing/Decreasing Using Derivatives	f(x)=6-5x^4	$f (x) = 6 - 5 x^{4}$
57729	Find Where Increasing/Decreasing Using Derivatives	f(x)=8x^3-54x^2-672x+1	$f (x) = 8 x^{3} - 54 x^{2} - 672 x + 1$
57730	Find Where Increasing/Decreasing Using Derivatives	f(x)=8x^3-6x^2-72x+6	$f (x) = 8 x^{3} - 6 x^{2} - 72 x + 6$
57731	Find Where Increasing/Decreasing Using Derivatives	f(x)=8-9x	$f (x) = 8 - 9 x$
57732	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-8x^3+18x^2	$f (x) = x^{4} - 8 x^{3} + 18 x^{2}$
57733	Find Where Increasing/Decreasing Using Derivatives	f(x)=-16x^2+96x+432	$f (x) = - 16 x^{2} + 96 x + 432$
57734	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x+3cos(x)	$f (x) = 3 x + 3 \cos (x)$
57735	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^(1/9)+2	$f (x) = x^{\frac{1}{9}} + 2$
57736	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-5x^2+25x+29	$f (x) = \frac{1}{3} x^{3} - 5 x^{2} + 25 x + 29$
57737	Find Where Increasing/Decreasing Using Derivatives	h(x)=(x+1)^7-7x-2	$h (x) = {(x + 1)}^{7} - 7 x - 2$
57738	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-1)e^(-8x)	$f (x) = (x - 1) e^{- 8 x}$
57739	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^2 natural log of x^2+3	$f (x) = x^{2} \ln (x^{2}) + 3$
57740	Find Where Increasing/Decreasing Using Derivatives	f(x)=12x^3-99x^2-720x+6	$f (x) = 12 x^{3} - 99 x^{2} - 720 x + 6$
57741	Find Where Increasing/Decreasing Using Derivatives	I(t)=1/3t^3-5/2t^2+86	$I (t) = \frac{1}{3} t^{3} - \frac{5}{2} t^{2} + 86$
57742	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x+6)^(4/5)	$f (x) = {(x + 6)}^{\frac{4}{5}}$
57743	Find Where Increasing/Decreasing Using Derivatives	f(x)=-2x^3-12x^2-24x-15	$f (x) = - 2 x^{3} - 12 x^{2} - 24 x - 15$
57744	Evaluate from the Left	limit as theta approaches 0 of csc(theta)	$lim_{θ \to 0} \csc (θ)$
57745	Evaluate from the Left	limit as x approaches 0 of ( square root of 3+x^2)/x	$lim_{x \to 0} \frac{\sqrt{3 + x^{2}}}{x}$
57746	Evaluate from the Left	limit as x approaches 2 from the left of (\|x-2\|)/(x^2-4)	$lim_{x \to 2} \frac{\| x - 2 \|}{x^{2} - 4}$
57747	Evaluate from the Left	limit as x approaches 3 of arcsin(x/3)	$lim_{x \to 3} \arcsin (\frac{x}{3})$
57748	Evaluate from the Left	limit as x approaches 180 of 0.3^(cot(x))	$lim_{x \to 180} {0.3}^{\cot (x)}$
57749	Evaluate from the Left	limit as x approaches pi/2 of sec(x)	$lim_{x \to \frac{π}{2}} \sec (x)$
57750	Evaluate from the Left	limit as x approaches infinity of square root of 5x+1- square root of 3x+7	$lim_{x \to \infty} \sqrt{5 x + 1} - \sqrt{3 x + 7}$
57751	Evaluate from the Left	limit as theta approaches pi/2 of sec(theta)	$lim_{θ \to \frac{π}{2}} \sec (θ)$
57752	Evaluate from the Left	limit as x approaches 2 of square root of 4-x^2	$lim_{x \to 2} \sqrt{4 - x^{2}}$
57753	Evaluate from the Left	limit as x approaches 2 of 3/(x-2)	$lim_{x \to 2} \frac{3}{x - 2}$
57754	Evaluate from the Left	limit as X approaches 5 of (\|X-5\|)/(3X-15)	$lim_{X \to 5} \frac{\| X - 5 \|}{3 X - 15}$
57755	Evaluate from the Left	limit as x approaches 10 of (x^2-5x-50)/(x^2-15x+50)	$lim_{x \to 10} \frac{x^{2} - 5 x - 50}{x^{2} - 15 x + 50}$
57756	Evaluate from the Left	limit as x approaches 5 of 5-x	$lim_{x \to 5} 5 - x$
57757	Evaluate from the Left	limit as x approaches -9 from the left of 1/(x+9)	$lim_{x \to - 9} \frac{1}{x + 9}$
57758	Evaluate from the Left	limit as x approaches -5 from the left of x^2+4/(x+5)	$lim_{x \to - 5} x^{2} + \frac{4}{x + 5}$
57759	Evaluate from the Left	limit as x approaches 0.1 of (10x-1)/(\|10x^3-x^2\|)	$lim_{x \to 0.1} \frac{10 x - 1}{\| 10 x^{3} - x^{2} \|}$
57760	Evaluate from the Left	limit as theta approaches -4 from the left of (theta)/theta	$lim_{θ \to - 4} \frac{(θ)}{θ}$
57761	Evaluate from the Left	limit as x approaches -5 of (\|x+5\|)/((x+5)(x-7))	$lim_{x \to - 5} \frac{(\| x + 5 \|)}{(x + 5) (x - 7)}$
57762	Evaluate from the Left	limit as x approaches 2 from the left of (5x-10)/(\|x-5\|)	$lim_{x \to 2} \frac{5 x - 10}{\| x - 5 \|}$
57763	Evaluate from the Left	limit as x approaches pi/2 of -1/6tan(x)	$lim_{x \to \frac{π}{2}} - \frac{1}{6} \tan (x)$
57764	Evaluate from the Left	limit as x approaches 1 of 8/(x^3-1)	$lim_{x \to 1} \frac{8}{x^{3} - 1}$
57765	Evaluate from the Left	limit as x approaches -3 from the left of x/( square root of x^2-9)	$lim_{x \to - 3} \frac{x}{\sqrt{x^{2} - 9}}$
57766	Evaluate from the Left	limit as x approaches 4 from the left of 1/(x-4)	$lim_{x \to 4} \frac{1}{x - 4}$
57767	Evaluate from the Left	limit as x approaches 1 from the left of G(x)	$lim_{x \to 1} G (x)$
57768	Evaluate from the Left	limit as x approaches 4.75 of arcsin(x/4.75)	$lim_{x \to 4.75} \arcsin (\frac{x}{4.75})$
57769	Evaluate from the Left	limit as x approaches pi/3 of cot(3x)	$lim_{x \to \frac{π}{3}} \cot (3 x)$
57770	Evaluate from the Left	limit as x approaches 1 from the left of (\|x-1\|)/(x-1)	$lim_{x \to 1} \frac{\| x - 1 \|}{x - 1}$
57771	Evaluate from the Left	limit as x approaches 5 of (x^2-5x-50)/(x^2-15x+50)	$lim_{x \to 5} \frac{x^{2} - 5 x - 50}{x^{2} - 15 x + 50}$
57772	Evaluate from the Left	limit as x approaches 3 from the right of natural log of x-3	$lim_{x \to 3} \ln (x - 3)$
57773	Evaluate from the Left	limit as x approaches (3pi)/2 from the right of e^(tan(x))	$lim_{x \to \frac{3 π}{2}} e^{\tan (x)}$
57774	Evaluate from the Left	limit as x approaches 0 of 1/(x-3)	$lim_{x \to 0} \frac{1}{x - 3}$
57775	Evaluate from the Left	limit as theta approaches pi from the left of csc(theta)	$lim_{θ \to π} \csc (θ)$
57776	Evaluate from the Left	limit as x approaches 1 of (3x)/( natural log of x)	$lim_{x \to 1} \frac{3 x}{\ln (x)}$
57777	Evaluate from the Left	limit as x approaches 1/2 of (2x-1)/(\|2x^3-x^2\|)	$lim_{x \to \frac{1}{2}} \frac{(2 x - 1)}{\| 2 x^{3} - x^{2} \|}$
57778	Evaluate from the Left	limit as x approaches pi of sin(x)	$lim_{x \to π} \sin (x)$
57779	Evaluate from the Left	limit as x approaches 6 of (x^2-11x+30)/(x^3-6x^2)	$lim_{x \to 6} \frac{x^{2} - 11 x + 30}{x^{3} - 6 x^{2}}$
57780	Evaluate from the Left	limit as x approaches negative infinity of ( square root of 4x^2+3x-7)/(7-3x)	$lim_{x \to - \infty} \frac{\sqrt{4 x^{2} + 3 x} - 7}{7 - 3 x}$
57781	Evaluate from the Left	limit as x approaches 2pi from the left of xcsc(x)	$lim_{x \to 2 π} x \csc (x)$
57782	Evaluate from the Left	limit as x approaches pi of tan(x)	$lim_{x \to π} \tan (x)$
57783	Evaluate from the Left	limit as x approaches -2 of (2x+x^2)/(\|x+2\|)	$lim_{x \to - 2} \frac{2 x + x^{2}}{\| x + 2 \|}$
57784	Evaluate from the Left	limit as y approaches 1 of y/( natural log of 1-y)	$lim_{y \to 1} \frac{y}{\ln (1 - y)}$
57785	Evaluate from the Left	limit as x approaches 3 of (7x)/(x-3)	$lim_{x \to 3} \frac{7 x}{x - 3}$
57786	Evaluate from the Left	limit as x approaches 3.5 from the left of arcsin(x/3.5)	$lim_{x \to 3.5} \arcsin (\frac{x}{3.5})$
57787	Find the Inverse	f(x)=64x^3	$f (x) = 64 x^{3}$
57788	Find the Inverse	f(x)=3x^3+4x^2+8x+5	$f (x) = 3 x^{3} + 4 x^{2} + 8 x + 5$
57789	Find the Inverse	f(x)=(5x)/(x-9)	$f (x) = \frac{5 x}{x - 9}$
57790	Find the Inverse	f(x)=x^2-4x+5 x>=2	$f (x) = x^{2} - 4 x + 5$ $x \geq 2$
57791	Find the Inverse	f(x) = square root of x+20	$f (x) = \sqrt{x + 20}$
57792	Find the Inverse	f(x)=1/x+1	$f (x) = \frac{1}{x} + 1$
57793	Find the Inverse	f(x)=(4x-3)/5	$f (x) = \frac{(4 x - 3)}{5}$
57794	Find the Inverse	f(x)=11-3x	$f (x) = 11 - 3 x$
57795	Find the Inverse	f(x)=e^(7-3x)	$f (x) = e^{7 - 3 x}$
57796	Find the Inverse	f(x)=6-3x	$f (x) = 6 - 3 x$
57797	Find the Inverse	g(x)=-x^2-8	$g (x) = - x^{2} - 8$
57798	Find the Inverse	f(x) = cube root of 4x-3	$f (x) = \sqrt[3]{4 x - 3}$
57799	Find the Inverse	F(x)=1/(7x-1)	$F (x) = \frac{1}{7 x - 1}$
57800	Find the Inverse	f(x)=(2x-1)/(x+3)	$f (x) = \frac{2 x - 1}{x + 3}$