Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51801	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-12x^2+48x-9	$f (x) = x^{3} - 12 x^{2} + 48 x - 9$
51802	Find Where Increasing/Decreasing Using Derivatives	f(x)=12x-9x^2+2x^3	$f (x) = 12 x - 9 x^{2} + 2 x^{3}$
51803	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-9x^2-21x+3	$f (x) = x^{3} - 9 x^{2} - 21 x + 3$
51804	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3+4x^2-5x	$f (x) = - x^{3} + 4 x^{2} - 5 x$
51805	Find Where Increasing/Decreasing Using Derivatives	f(x)=(6-x)e^(-x)	$f (x) = (6 - x) e^{- x}$
51806	Find Where Increasing/Decreasing Using Derivatives	f(x)=-0.001x^2+4x-5000	$f (x) = - 0.001 x^{2} + 4 x - 5000$
51807	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-32x+7	$f (x) = x^{4} - 32 x + 7$
51808	Find Where Increasing/Decreasing Using Derivatives	f(x)=(2x-1)/x	$f (x) = \frac{2 x - 1}{x}$
51809	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^4-72x^3+7	$f (x) = 3 x^{4} - 72 x^{3} + 7$
51810	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-7x^2-24x+1	$f (x) = x^{3} - 7 x^{2} - 24 x + 1$
51811	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/(1-x^2)	$f (x) = \frac{1}{1 - x^{2}}$
51812	Find Where Increasing/Decreasing Using Derivatives	g(t)=(3t)/(t^2+1)	$g (t) = \frac{3 t}{t^{2} + 1}$
51813	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3+12x^2-48x+9	$f (x) = - x^{3} + 12 x^{2} - 48 x + 9$
51814	Find Where Increasing/Decreasing Using Derivatives	g(x)=230+8x^3+x^4	$g (x) = 230 + 8 x^{3} + x^{4}$
51815	Find Where Increasing/Decreasing Using Derivatives	f(x)=25x^2-16	$f (x) = 25 x^{2} - 16$
51816	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3+13x^2-10x+8	$f (x) = 4 x^{3} + 13 x^{2} - 10 x + 8$
51817	Find Where Increasing/Decreasing Using Derivatives	f(x)=2/(x^2-25)	$f (x) = \frac{2}{x^{2} - 25}$
51818	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x+1)^(2/7)	$f (x) = {(x + 1)}^{\frac{2}{7}}$
51819	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-3x^2+x-11	$f (x) = 2 x^{3} - 3 x^{2} + x - 11$
51820	Find Where Increasing/Decreasing Using Derivatives	P(x)=-0.004x^2+8x-5000	$P (x) = - 0.004 x^{2} + 8 x - 5000$
51821	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-6x^2+12x-8	$f (x) = x^{3} - 6 x^{2} + 12 x - 8$
51822	Find Where Increasing/Decreasing Using Derivatives	k(t)=(8t)/(t^2+16)	$k (t) = \frac{8 t}{t^{2} + 16}$
51823	Find Where Increasing/Decreasing Using Derivatives	f(x)=17x(x-1)^3	$f (x) = 17 x {(x - 1)}^{3}$
51824	Find Where Increasing/Decreasing Using Derivatives	h(t)=t/(t-7)	$h (t) = \frac{t}{t - 7}$
51825	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^2-6 natural log of x	$f (x) = 3 x^{2} - 6 \ln (x)$
51826	Find Where Increasing/Decreasing Using Derivatives	K(t)=(20t)/(t^2+25)	$K (t) = \frac{20 t}{t^{2} + 25}$
51827	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^2-36 natural log of x	$f (x) = 2 x^{2} - 36 \ln (x)$
51828	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3-9x^2-27x-30	$f (x) = - x^{3} - 9 x^{2} - 27 x - 30$
51829	Find Where Increasing/Decreasing Using Derivatives	f(x)=8-27x+9x^2-x^3	$f (x) = 8 - 27 x + 9 x^{2} - x^{3}$
51830	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-8)/(x+3)	$f (x) = \frac{x - 8}{x + 3}$
51831	Find Where Increasing/Decreasing Using Derivatives	f(x)=21x^9-27x^7	$f (x) = 21 x^{9} - 27 x^{7}$
51832	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-8x^2-12x+6	$f (x) = x^{3} - 8 x^{2} - 12 x + 6$
51833	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^7 natural log of x	$f (x) = x^{7} \ln (x)$
51834	Find Where Increasing/Decreasing Using Derivatives	P(x)=-0.004x^2+6x-5000	$P (x) = - 0.004 x^{2} + 6 x - 5000$
51835	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+7x^2+4x-5	$f (x) = 2 x^{3} + 7 x^{2} + 4 x - 5$
51836	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-15x^2+24x-20	$f (x) = 2 x^{3} - 15 x^{2} + 24 x - 20$
51837	Find Where Increasing/Decreasing Using Derivatives	f(x)=-12x^5+90x^4-160x^3	$f (x) = - 12 x^{5} + 90 x^{4} - 160 x^{3}$
51838	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3+x^2-3x	$f (x) = \frac{1}{3} x^{3} + x^{2} - 3 x$
51839	Find Where Increasing/Decreasing Using Derivatives	f(x)=15x^7-21x^5	$f (x) = 15 x^{7} - 21 x^{5}$
51840	Find Where Increasing/Decreasing Using Derivatives	f(x)=(5x-8)/x	$f (x) = \frac{5 x - 8}{x}$
51841	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-32x^2+2	$f (x) = x^{4} - 32 x^{2} + 2$
51842	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^3)/3-4x^2+12x+1	$f (x) = \frac{x^{3}}{3} - 4 x^{2} + 12 x + 1$
51843	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-4x^2-16x+2	$f (x) = x^{3} - 4 x^{2} - 16 x + 2$
51844	Find Where Increasing/Decreasing Using Derivatives	f(x)=6x^5-15x^4+10x^3	$f (x) = 6 x^{5} - 15 x^{4} + 10 x^{3}$
51845	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^6-7x^5	$f (x) = 4 x^{6} - 7 x^{5}$
51846	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3-6x^2-12x-6	$f (x) = - x^{3} - 6 x^{2} - 12 x - 6$
51847	Find Where Increasing/Decreasing Using Derivatives	f(x)=10x^7-14x^5	$f (x) = 10 x^{7} - 14 x^{5}$
51848	Evaluate from the Left	limit as x approaches 3 from the left of 1/(x-3)	$lim_{x \to 3} \frac{1}{x - 3}$
51849	Evaluate from the Left	limit as theta approaches 0 from the left of csc(theta)	$lim_{θ \to 0} \csc (θ)$
51850	Evaluate from the Left	limit as x approaches 5 of 1/(x-5)	$lim_{x \to 5} \frac{1}{x - 5}$
51851	Evaluate from the Left	limit as x approaches 4 of (x-4)/(\|x-4\|)	$lim_{x \to 4} \frac{x - 4}{\| x - 4 \|}$
51852	Evaluate from the Left	limit as x approaches negative infinity of arctan(x)	$lim_{x \to - \infty} \arctan (x)$
51853	Evaluate from the Left	limit as x approaches 1 of (x^2-1)/(\|x-1\|)	$lim_{x \to 1} \frac{x^{2} - 1}{\| x - 1 \|}$
51854	Evaluate from the Left	limit as x approaches 5 of square root of 25-x^2	$lim_{x \to 5} \sqrt{25 - x^{2}}$
51855	Evaluate from the Left	limit as x approaches 1 from the right of f(x)	$lim_{x \to 1} f (x)$
51856	Evaluate from the Left	limit as x approaches 0 from the left of (\|x\|)/x	$lim_{x \to 0} \frac{\| x \|}{x}$
51857	Evaluate from the Left	limit as x approaches 2pi from the left of csc(x)	$lim_{x \to 2 π} \csc (x)$
51858	Evaluate from the Left	limit as x approaches 2 of square root of 4-2x	$lim_{x \to 2} \sqrt{4 - 2 x}$
51859	Evaluate from the Left	limit as x approaches 0 of 0/x	$lim_{x \to 0} \frac{0}{x}$
51860	Evaluate from the Left	limit as x approaches 7 from the left of 1/(x-15)	$lim_{x \to 7} \frac{1}{x - 15}$
51861	Evaluate from the Left	limit as x approaches 2pi of xcot(x)	$lim_{x \to 2 π} x \cot (x)$
51862	Evaluate from the Left	limit as h approaches 0 of (1/(x+h)-1/x)/h	$lim_{h \to 0} \frac{\frac{1}{x + h} - \frac{1}{x}}{h}$
51863	Evaluate from the Left	limit as x approaches 0 of 2cot(x)	$lim_{x \to 0} 2 \cot (x)$
51864	Evaluate from the Left	limit as x approaches 6 of (x^2-3x-18)/(x^2-9x+18)	$lim_{x \to 6} \frac{x^{2} - 3 x - 18}{x^{2} - 9 x + 18}$
51865	Evaluate from the Left	limit as x approaches 6 of natural log of 6-x	$lim_{x \to 6} \ln (6 - x)$
51866	Evaluate from the Left	limit as x approaches infinity of natural log of x	$lim_{x \to \infty} \ln (x)$
51867	Evaluate from the Left	limit as x approaches pi/5 of cot(5x)	$lim_{x \to \frac{π}{5}} \cot (5 x)$
51868	Find the Vertex	-3(x-2)(x+6)	$- 3 (x - 2) (x + 6)$
51869	Find the Vertex	-4.9x^2+19.6x+1	$- 4.9 x^{2} + 19.6 x + 1$
51870	Find the Vertex	x^2-10x+24	$x^{2} - 10 x + 24$
51871	Graph the Interval	[-pi/2,pi/2]	$[- \frac{π}{2}, \frac{π}{2}]$
51872	Graph the Interval	[-3,infinity)	$[- 3, \infty)$
51873	Graph the Interval	(0,5)	$(0, 5)$
51874	Expand Using Sum/Difference Formulas	cos(195 degrees )	$\cos (195 °)$
51875	Find the Inverse	f(x)=x^3-6x^2+15x-2	$f (x) = x^{3} - 6 x^{2} + 15 x - 2$
51876	Find the Inverse	f(x)=0.4e^(1.1x)	$f (x) = 0.4 e^{1.1 x}$
51877	Find the Inverse	f(x) = square root of 2+5x	$f (x) = \sqrt{2 + 5 x}$
51878	Find the Inverse	f(x)=(6x-1)/(2x+9)	$f (x) = \frac{6 x - 1}{2 x + 9}$
51879	Find the Inverse	f(x)=2+ square root of 4+5x	$f (x) = 2 + \sqrt{4 + 5 x}$
51880	Find the Inverse	f(x)=e^(9x-5)	$f (x) = e^{9 x - 5}$
51881	Find the Inverse	f(x)=e^(7x-6)	$f (x) = e^{7 x - 6}$
51882	Find the Inverse	f(x)=1/7x-3	$f (x) = \frac{1}{7} x - 3$
51883	Find the Inverse	f(x)=1+ square root of 3+6x	$f (x) = 1 + \sqrt{3 + 6 x}$
51884	Find the Inverse	f(x)=x^7-4	$f (x) = x^{7} - 4$
51885	Find the Inverse	f(x)=3x^3+8	$f (x) = 3 x^{3} + 8$
51886	Find the Inverse	f(x)=3+ square root of 5+8x	$f (x) = 3 + \sqrt{5 + 8 x}$
51887	Find the Inverse	f(x)=e^(8x-9)	$f (x) = e^{8 x - 9}$
51888	Find the Inverse	f(x)=x^7-3	$f (x) = x^{7} - 3$
51889	Find the Inverse	f(x)=(x-15)^2	$f (x) = {(x - 15)}^{2}$
51890	Find the Inverse	f(x) = square root of 2x-7	$f (x) = \sqrt{2 x - 7}$
51891	Find the Inverse	f(x)=-4/3x+8	$f (x) = - \frac{4}{3} x + 8$
51892	Find the Inverse	f(x) = fifth root of x-6	$f (x) = \sqrt[5]{x} - 6$
51893	Find the Inverse	f(x)=4-7x	$f (x) = 4 - 7 x$
51894	Find the Inverse	f(x)=2/3x-5	$f (x) = \frac{2}{3} x - 5$
51895	Find the Inverse	f(x)=3+ square root of 2x-1	$f (x) = 3 + \sqrt{2 x - 1}$
51896	Find the Inverse	f(x)=4x+1/4	$f (x) = 4 x + \frac{1}{4}$
51897	Find the Inverse	f(x)=6x^2-6 , x>=0	$f (x) = 6 x^{2} - 6$ , $x \geq 0$
51898	Find the Inverse	f(x) = square root of 3x+7	$f (x) = \sqrt{3 x + 7}$
51899	Find the Inverse	f(x)=3+ square root of 4+7x	$f (x) = 3 + \sqrt{4 + 7 x}$
51900	Find the Inverse	f(x) = cube root of x+4-8	$f (x) = \sqrt[3]{x + 4} - 8$