Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43701	Find the Critical Points	f(x)=sin(x)+cos(x)	$f (x) = \sin (x) + \cos (x)$
43702	Find the Critical Points	f(x)=1/4x^4-1/3x^3-3x^2	$f (x) = \frac{1}{4} x^{4} - \frac{1}{3} x^{3} - 3 x^{2}$
43703	Find Where Undefined/Discontinuous	f(x)=3/(x^2-2x-15)	$f (x) = \frac{3}{x^{2} - 2 x - 15}$
43704	Find the Concavity	f(x)=1/4x^4-3/2x^2	$f (x) = \frac{1}{4} x^{4} - \frac{3}{2} x^{2}$
43705	Find the Concavity	f(x)=6x^2-6sin(2x)	$f (x) = 6 x^{2} - 6 \sin (2 x)$
43706	Find the Concavity	3x^4-16x^3+24x^2+48	$3 x^{4} - 16 x^{3} + 24 x^{2} + 48$
43707	Find the Concavity	4x^2+4sin(2x)	$4 x^{2} + 4 \sin (2 x)$
43708	Find the Concavity	x^4+4x^3-48x^2+6	$x^{4} + 4 x^{3} - 48 x^{2} + 6$
43709	Find the Concavity	6x^4-36x^2	$6 x^{4} - 36 x^{2}$
43710	Find the Integral	1/xdx	$\frac{1}{x} d x$
43711	Find the Integral	(dy)/y	$\frac{d y}{y}$
43712	Find the Critical Points	x square root of 49-x^2	$x \sqrt{49 - x^{2}}$
43713	Find the Maximum/Minimum Value	f(x)=x^2+8x+13	$f (x) = x^{2} + 8 x + 13$
43714	Find the Maximum/Minimum Value	f(x)=x^2+4x+9	$f (x) = x^{2} + 4 x + 9$
43715	Identify the Polar Equation	r^2cos(2theta)=1	$r^{2} \cos (2 θ) = 1$
43716	Find the Maximum/Minimum Value	x^2+8x+12	$x^{2} + 8 x + 12$
43717	Determine if the Point is on the Graph	f(x) = square root of 3x(2x-2/3) , (-4,1)	$f (x) = \sqrt{3} x (2 x - \frac{2}{3})$ , $(- 4, 1)$
43718	Multiply	(1+2x^2)(x-x^2)	$(1 + 2 x^{2}) (x - x^{2})$
43719	Multiply	25*2	$25 \cdot 2$
43720	Multiply	18*8	$18 \cdot 8$
43721	Find the Third Derivative	pir^2	$π r^{2}$
43722	Find the Second Derivative	13e^(x^2)	$13 e^{x^{2}}$
43723	Divide	64÷3	$64 \div 3$
43724	Divide	52/2	$\frac{52}{2}$
43725	Divide	14/3	$\frac{14}{3}$
43726	Divide	8÷3	$8 \div 3$
43727	Evaluate from the Left	limit as x approaches pi of cot(x)	$lim_{x \to π} \cot (x)$
43728	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^2(4+x)^2	$f (x) = 3 x^{2} {(4 + x)}^{2}$
43729	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^2(12+x)^2	$f (x) = 3 x^{2} {(12 + x)}^{2}$
43730	Find Where Increasing/Decreasing Using Derivatives	f(x)=(2x)/(x^2+9)	$f (x) = \frac{2 x}{x^{2} + 9}$
43731	Evaluate the Summation	sum from n=1 to 3 of n^2-1	$\sum_{n = 1}^{3} n^{2} - 1$
43732	Evaluate the Summation	sum from j=0 to 2 of j^2	$\sum_{j = 0}^{2} j^{2}$
43733	Convert to a Decimal	square root of 29	$\sqrt{29}$
43734	Convert to a Simplified Fraction	0.575757	$0.575757$
43735	Find the Critical Points	y=2x^3+3x^2-12x-7	$y = 2 x^{3} + 3 x^{2} - 12 x - 7$
43736	Find the Critical Points	y=3x^3+12x^2+16x-5	$y = 3 x^{3} + 12 x^{2} + 16 x - 5$
43737	Find the Critical Points	y=x^3-12x+1	$y = x^{3} - 12 x + 1$
43738	Find the Tangent Line at the Point	(x+2)^2+(y-3)^2=37 , (4,2)	${(x + 2)}^{2} + {(y - 3)}^{2} = 37$ , $(4, 2)$
43739	Find the Tangent Line at the Point	y=8e^xcos(x) , (0,8)	$y = 8 e^{x} \cos (x)$ , $(0, 8)$
43740	Find the Tangent Line at the Point	y=x^4+6x^2-x , (1,6)	$y = x^{4} + 6 x^{2} - x$ , $(1, 6)$
43741	Find the Second Derivative	x^3+y^3=16	$x^{3} + y^{3} = 16$
43742	Find the Second Derivative	s=6t^4-4t^6	$s = 6 t^{4} - 4 t^{6}$
43743	Find the Second Derivative	w=7z^2e^z	$w = 7 z^{2} e^{z}$
43744	Find the Second Derivative	xy+4e^y=4e	$x y + 4 e^{y} = 4 e$
43745	Find the Second Derivative	y=-4cos(x)	$y = - 4 \cos (x)$
43746	Find the Second Derivative	y=3xcos(x^2)	$y = 3 x \cos (x^{2})$
43747	Find the Second Derivative	w=10z^2e^z	$w = 10 z^{2} e^{z}$
43748	Find Where Increasing/Decreasing Using Derivatives	2x^3-4x^2+2x-1	$2 x^{3} - 4 x^{2} + 2 x - 1$
43749	Find the Linearization at a=16	f(x)=x^(3/4) , a=16	$f (x) = x^{\frac{3}{4}}$ , $a = 16$
43750	Find the Tangent Line at (0,4)	y=4e^xcos(x) , (0,4)	$y = 4 e^{x} \cos (x)$ , $(0, 4)$
43751	Find the Antiderivative	(4t)/( cube root of t^2+3)	$\frac{4 t}{\sqrt[3]{t^{2} + 3}}$
43752	Find the Antiderivative	5^x natural log of 5	$5^{x} \ln (5)$
43753	Find the Antiderivative	( natural log of x)/x	$\frac{(\ln (x))}{x}$
43754	Find the Antiderivative	x(3x-2)	$x (3 x - 2)$
43755	Find the Antiderivative	sin(pi/3x)	$\sin (\frac{π}{3} x)$
43756	Find the Antiderivative	sin(x)cos(x)^2	$\sin (x) \cos^{2} (x)$
43757	Find the Difference Quotient	f(x) = square root of 2x+3	$f (x) = \sqrt{2 x + 3}$
43758	Find the Difference Quotient	f(x) = square root of x-5	$f (x) = \sqrt{x} - 5$
43759	Find the Local Maxima and Minima	6x^2+2x^3	$6 x^{2} + 2 x^{3}$
43760	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of xsin(1/x)	$lim_{x \to \infty} x \sin (\frac{1}{x})$
43761	Find the Inflection Points	x^4-20x^3+150x^2	$x^{4} - 20 x^{3} + 150 x^{2}$
43762	Find the Fourth Derivative	16cos(2x)	$16 \cos (2 x)$
43763	Find the Second Derivative	3cot(x)	$3 \cot (x)$
43764	Find the Second Derivative	16cos(2x)	$16 \cos (2 x)$
43765	Find the Fourth Derivative	4e^x-x^3	$4 e^{x} - x^{3}$
43766	Find the Second Derivative	5csc(x)sec(x)	$5 \csc (x) \sec (x)$
43767	Find the Second Derivative	4cot(x)	$4 \cot (x)$
43768	Find Where Increasing/Decreasing	f(x)=6cos(x)^4	$f (x) = 6 \cos^{4} (x)$
43769	Find the Derivative Using Quotient Rule - d/dx	(ax-b)/(ax+b)	$\frac{a x - b}{a x + b}$
43770	Find the Derivative Using Quotient Rule - d/da	(ax-b)/(ax+b)	$\frac{a x - b}{a x + b}$
43771	Find the Critical Points	f(x)=2x^3+9x^2-24x+5	$f (x) = 2 x^{3} + 9 x^{2} - 24 x + 5$
43772	Find the Critical Points	f(x)=(x^2)/(x^2-81)	$f (x) = \frac{x^{2}}{x^{2} - 81}$
43773	Find the Domain	f(x) = natural log of x^2-16x	$f (x) = \ln (x^{2} - 16 x)$
43774	Find the Domain	f(x) = natural log of x^2-10x	$f (x) = \ln (x^{2} - 10 x)$
43775	Find the Concavity	f(x)=6x^2+6sin(2x)	$f (x) = 6 x^{2} + 6 \sin (2 x)$
43776	Find the Concavity	f(x)=x square root of x+21	$f (x) = x \sqrt{x + 21}$
43777	Find the Concavity	5x^2-5sin(2x)	$5 x^{2} - 5 \sin (2 x)$
43778	Find the Integral	sin(theta)^2	$\sin^{2} (θ)$
43779	Multiply	x*x^(-1/2)	$x \cdot x^{- \frac{1}{2}}$
43780	Multiply	48*2	$48 \cdot 2$
43781	Find the Asymptotes	f(x)=(x+2)/(x^3-6x^2+8x)	$f (x) = \frac{x + 2}{x^{3} - 6 x^{2} + 8 x}$
43782	Find the Maximum/Minimum Value	f(x)=x^2+8x+18	$f (x) = x^{2} + 8 x + 18$
43783	Find the Maximum/Minimum Value	f(x)=x^2+4x+16	$f (x) = x^{2} + 4 x + 16$
43784	Find the Critical Points	x square root of 324-x^2	$x \sqrt{324 - x^{2}}$
43785	Find the Critical Points	3x^2-2x^3	$3 x^{2} - 2 x^{3}$
43786	Find the Critical Points	1/4x^4-1/3x^3-6x^2	$\frac{1}{4} x^{4} - \frac{1}{3} x^{3} - 6 x^{2}$
43787	Find the Critical Points	1/4x^4-1/3x^3-x^2	$\frac{1}{4} x^{4} - \frac{1}{3} x^{3} - x^{2}$
43788	Find the Critical Points	x^8-8x^7	$x^{8} - 8 x^{7}$
43789	Evaluate the Function	f(pi/4)=sec(x)	$f (\frac{π}{4}) = \sec (x)$
43790	Find Where Increasing/Decreasing	y=(x-6)^3	$y = {(x - 6)}^{3}$
43791	Find the Asymptotes	y=(6e^x)/(e^x-4)	$y = \frac{6 e^{x}}{e^{x} - 4}$
43792	Find the Asymptotes	y=(x^2-x)/(x^2-4x+3)	$y = \frac{x^{2} - x}{x^{2} - 4 x + 3}$
43793	Find the Asymptotes	y=((3x+2)(x-4))/((5x-3)(-2x+1))	$y = \frac{(3 x + 2) (x - 4)}{(5 x - 3) (- 2 x + 1)}$
43794	Find the Normal Line at @POINT	y=x^4+9e^x , (0,9)	$y = x^{4} + 9 e^{x}$ , $(0, 9)$
43795	Find the Normal Line at @POINT	y=x^4+4e^x , (0,4)	$y = x^{4} + 4 e^{x}$ , $(0, 4)$
43796	Find the Inflection Points	x/(4x^2-9)	$\frac{x}{4 x^{2} - 9}$
43797	Find the Inflection Points	2(x-3)^(5/3)	$2 {(x - 3)}^{\frac{5}{3}}$
43798	Find the Inflection Points	(2x)/(4x^2-1)	$\frac{2 x}{4 x^{2} - 1}$
43799	Expand the Logarithmic Expression	log of (y^4)/( cube root of xz^2)	$\log (\frac{y^{4}}{\sqrt[3]{x z^{2}}})$
43800	Find the Second Derivative	y=3tan(x)	$y = 3 \tan (x)$