Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9601	Find the Critical Points	(e^x)/x	$\frac{e^{x}}{x}$
9602	Find the Critical Points	cos(x)^2	$\cos^{2} (x)$
9603	Find the Critical Points	x^(1/3)-x^(-2/3)	$x^{\frac{1}{3}} - x^{- \frac{2}{3}}$
9604	Find the Critical Points	sin(x)^2	$\sin^{2} (x)$
9605	Find the Critical Points	x^2e^(8x)	$x^{2} e^{8 x}$
9606	Find the Critical Points	x^2e^x	$x^{2} e^{x}$
9607	Find the Critical Points	x^(1/7)-x^(-6/7)	$x^{\frac{1}{7}} - x^{- \frac{6}{7}}$
9608	Find the Critical Points	x^4(x-1)^3	$x^{4} {(x - 1)}^{3}$
9609	Find the Critical Points	x^6e^x-5	$x^{6} e^{x} - 5$
9610	Find the Critical Points	4x^3-12x^2	$4 x^{3} - 12 x^{2}$
9611	Find the Critical Points	4x^3-16x	$4 x^{3} - 16 x$
9612	Find the Critical Points	4x^3-27x^2-336x+2	$4 x^{3} - 27 x^{2} - 336 x + 2$
9613	Find the Critical Points	f(x)=-x^3+9x^2-53	$f (x) = - x^{3} + 9 x^{2} - 53$
9614	Find the Critical Points	f(x)=x^3+6x^2-135x	$f (x) = x^{3} + 6 x^{2} - 135 x$
9615	Find the Critical Points	f(x)=x^3-3x^2-9x	$f (x) = x^{3} - 3 x^{2} - 9 x$
9616	Find the Derivative - d/d@VAR	f(x)=x/(x^2+81)	$f (x) = \frac{x}{x^{2} + 81}$
9617	Find the Critical Points	f(x)=x^3-4x	$f (x) = x^{3} - 4 x$
9618	Find the Critical Points	f(x)=x^3-6x^2	$f (x) = x^{3} - 6 x^{2}$
9619	Find the Critical Points	f(x)=x^2-6x	$f (x) = x^{2} - 6 x$
9620	Find the Critical Points	f(x)=x^2-12x+10	$f (x) = x^{2} - 12 x + 10$
9621	Find the Critical Points	f(x)=x^2-2x+4	$f (x) = x^{2} - 2 x + 4$
9622	Find the Critical Points	f(x)=x^2-4 square root of x	$f (x) = x^{2} - 4 \sqrt{x}$
9623	Find the Derivative - d/d@VAR	f(x)=4/3*(pix^3)	$f (x) = \frac{4}{3} \cdot (π x^{3})$
9624	Find the Critical Points	f(x)=x^3+3x^2-9x-13	$f (x) = x^{3} + 3 x^{2} - 9 x - 13$
9625	Find the Critical Points	f(x)=x^3+3x^2-24x	$f (x) = x^{3} + 3 x^{2} - 24 x$
9626	Evaluate the Limit	limit as x approaches -2 of (3x^2+ax+a+9)/(x^2+x-2)	$lim_{x \to - 2} \frac{3 x^{2} + a x + a + 9}{x^{2} + x - 2}$
9627	Find the Critical Points	f(x)=x^2+2x-3	$f (x) = x^{2} + 2 x - 3$
9628	Find the Critical Points	f(x)=x^(3/4)-6x^(1/4)	$f (x) = x^{\frac{3}{4}} - 6 x^{\frac{1}{4}}$
9629	Find the Critical Points	f(x)=x^(5/3)+5x^(2/3)	$f (x) = x^{\frac{5}{3}} + 5 x^{\frac{2}{3}}$
9630	Find the Critical Points	f(x)=x^(20/21)-x^(41/21)	$f (x) = x^{\frac{20}{21}} - x^{\frac{41}{21}}$
9631	Find the Critical Points	f(x)=x^(2/3)-x^(5/3)	$f (x) = x^{\frac{2}{3}} - x^{\frac{5}{3}}$
9632	Find the Critical Points	f(x)=x^(2/3)(x^2-4)	$f (x) = x^{\frac{2}{3}} (x^{2} - 4)$
9633	Find the Critical Points	f(x)=x/(x-1)	$f (x) = \frac{x}{x - 1}$
9634	Evaluate the Limit	limit as x approaches 2 of (x^2-4x+4)/(x^4-3x^2-4)	$lim_{x \to 2} \frac{x^{2} - 4 x + 4}{x^{4} - 3 x^{2} - 4}$
9635	Find the Critical Points	f(x) = cube root of x^2-2x	$f (x) = \sqrt[3]{x^{2} - 2 x}$
9636	Find the Critical Points	f(x) = fifth root of x-5	$f (x) = \sqrt[5]{x - 5}$
9637	Find the Critical Points	f(x)=x/(x^2-4)	$f (x) = \frac{x}{x^{2} - 4}$
9638	Find the Critical Points	f(x)=x^(1/3)(x+4)	$f (x) = x^{\frac{1}{3}} (x + 4)$
9639	Find the Critical Points	f(x)=(x-2)^-1	$f (x) = {(x - 2)}^{- 1}$
9640	Find the Critical Points	f(x)=(x^2-1)^(1/3)	$f (x) = {(x^{2} - 1)}^{\frac{1}{3}}$
9641	Find the Critical Points	f(x)=(x^3)/(x^2-4)	$f (x) = \frac{x^{3}}{x^{2} - 4}$
9642	Find the Critical Points	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
9643	Find the Critical Points	f(x)=1/4x^4-2x^2	$f (x) = \frac{1}{4} x^{4} - 2 x^{2}$
9644	Find the Critical Points	f(x)=1/4x^4-8x^2	$f (x) = \frac{1}{4} x^{4} - 8 x^{2}$
9645	Find the Critical Points	f(x)=(2x)/( square root of x-1)	$f (x) = \frac{2 x}{\sqrt{x - 1}}$
9646	Find the Critical Points	f(x)=(2x^2)/(x^2-1)	$f (x) = \frac{2 x^{2}}{x^{2} - 1}$
9647	Find the Derivative - d/dx	y = square root of 2x-1	$y = \sqrt{2 x - 1}$
9648	Find dy/dx	y=(x/3.7+3.7/x)(x^2+1)	$y = (\frac{x}{3.7} + \frac{3.7}{x}) (x^{2} + 1)$
9649	Find the Critical Points	f(x)=x(4-x)^3	$f (x) = x {(4 - x)}^{3}$
9650	Find the Critical Points	f(x)=7x^4-42x^2	$f (x) = 7 x^{4} - 42 x^{2}$
9651	Find the Critical Points	f(x)=7x^3-6x^2+1	$f (x) = 7 x^{3} - 6 x^{2} + 1$
9652	Find the Critical Points	f(x)=-6x^2+108x+7	$f (x) = - 6 x^{2} + 108 x + 7$
9653	Find the Critical Points	f(x)=5x^2+4x	$f (x) = 5 x^{2} + 4 x$
9654	Find the Critical Points	f(x)=5x^4-10x^2-1	$f (x) = 5 x^{4} - 10 x^{2} - 1$
9655	Find the Critical Points	f(x)=5x^4-10x^2+1	$f (x) = 5 x^{4} - 10 x^{2} + 1$
9656	Find the Critical Points	f(x)=3x^4-30x^2+27	$f (x) = 3 x^{4} - 30 x^{2} + 27$
9657	Find dy/dx	sin(3y)=x	$\sin (3 y) = x$
9658	Find the Critical Points	f(x)=4x^5-5x^4	$f (x) = 4 x^{5} - 5 x^{4}$
9659	Find dy/dx	y=cos(a^3+x^3)	$y = \cos (a^{3} + x^{3})$
9660	Find the Critical Points	f(x)=4x^3-48x^2+6	$f (x) = 4 x^{3} - 48 x^{2} + 6$
9661	Find the Critical Points	f(x)=4x^3+3x^2-6x+1	$f (x) = 4 x^{3} + 3 x^{2} - 6 x + 1$
9662	Find the Critical Points	f(x)=2x^3-10x^2+6x+1	$f (x) = 2 x^{3} - 10 x^{2} + 6 x + 1$
9663	Find the Critical Points	f(x)=2x^3-10x^2-6x+1	$f (x) = 2 x^{3} - 10 x^{2} - 6 x + 1$
9664	Find the Critical Points	f(x)=20x^3-3x^5	$f (x) = 20 x^{3} - 3 x^{5}$
9665	Find the Critical Points	f(x)=2x^3+15x^2+24x	$f (x) = 2 x^{3} + 15 x^{2} + 24 x$
9666	Find the Critical Points	f(x)=2x^2+108/x	$f (x) = 2 x^{2} + \frac{108}{x}$
9667	Find the Critical Points	f(x)=-2x^2+4x+3	$f (x) = - 2 x^{2} + 4 x + 3$
9668	Find the Critical Points	f(x)=2x^3+6x^2-18x	$f (x) = 2 x^{3} + 6 x^{2} - 18 x$
9669	Find the Critical Points	f(x)=x^4-8x^3	$f (x) = x^{4} - 8 x^{3}$
9670	Find the Antiderivative	5/x	$\frac{5}{x}$
9671	Find the Critical Points	f(x)=x^4-18x^2	$f (x) = x^{4} - 18 x^{2}$
9672	Find the Critical Points	f(x)=x^4-26x^2	$f (x) = x^{4} - 26 x^{2}$
9673	Find the Difference Quotient	f(x)=5x^2-3x	$f (x) = 5 x^{2} - 3 x$
9674	Evaluate	natural log of natural log of e^(e^5)	$\ln (\ln (e^{e^{5}}))$
9675	Find the Critical Points	f(x)=x^4(x-1)^3	$f (x) = x^{4} {(x - 1)}^{3}$
9676	Find the Critical Points	f(x)=x^4+4x^3-8x^2+1	$f (x) = x^{4} + 4 x^{3} - 8 x^{2} + 1$
9677	Find the Critical Points	f(x)=12+4x-x^2	$f (x) = 12 + 4 x - x^{2}$
9678	Find the Critical Points	f(x)=10x^3(x-1)^2	$f (x) = 10 x^{3} {(x - 1)}^{2}$
9679	Find the Critical Points	f(x)=x^8(x-1)^7	$f (x) = x^{8} {(x - 1)}^{7}$
9680	Find the Critical Points	f(x)=x^5-5x^4	$f (x) = x^{5} - 5 x^{4}$
9681	Find the Critical Points	f(x)=(x+6)/(x+4)	$f (x) = \frac{x + 6}{x + 4}$
9682	Find the Critical Points	f(x)=(x-1)/(x^2+4)	$f (x) = \frac{x - 1}{x^{2} + 4}$
9683	Evaluate	(6sin(-0.1))/-0.1	$\frac{6 \sin (- 0.1)}{- 0.1}$
9684	Evaluate	72/((0+6)^3)	$\frac{72}{{(0 + 6)}^{3}}$
9685	Evaluate	-6/(49(1)^(8/7))	$- \frac{6}{49 {(1)}^{\frac{8}{7}}}$
9686	Evaluate	(tan(0.01)-0.01)/((0.01)^3)	$\frac{\tan (0.01) - 0.01}{{(0.01)}^{3}}$
9687	Evaluate	pi/6*1/2	$\frac{π}{6} \cdot \frac{1}{2}$
9688	Evaluate	(sin(0))/(cos(0))	$\frac{\sin (0)}{\cos (0)}$
9689	Evaluate	e^-0.01	$e^{- 0.01}$
9690	Evaluate	-csc(pi)^2	$- \csc^{2} (π)$
9691	Evaluate	arccos(cos((3pi)/2))	$\arccos (\cos (\frac{3 π}{2}))$
9692	Evaluate	e^-7	$e^{- 7}$
9693	Evaluate	-csc(0)^2	$- \csc^{2} (0)$
9694	Evaluate	e^-0.1	$e^{- 0.1}$
9695	Evaluate	-e^0	$- e^{0}$
9696	Evaluate	e^(pi/4)	$e^{\frac{π}{4}}$
9697	Evaluate	e-e^-1	$e - e^{- 1}$
9698	Evaluate	e^12	$e^{12}$
9699	Evaluate	12-(2(10))/2	$12 - \frac{2 (10)}{2}$
9700	Evaluate	1200(300)-2(300)^2	$1200 (300) - 2 {(300)}^{2}$