Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14601	Find the Derivative - d/dy	cos(y)^5	$\cos^{5} (y)$
14602	Find the Derivative - d/dy	d/(dy)*( natural log of x+xy)	$\frac{d}{d y} \cdot (\ln (x) + x y)$
14603	Find the Derivative - d/dy	(dx)/(dy)*5	$\frac{d x}{d y} \cdot 5$
14604	Find the Derivative - d/dy	e^xcos(y)	$e^{x} \cos (y)$
14605	Find the Derivative - d/dy	e^(3y)	$e^{3 y}$
14606	Find the Derivative - d/dy	e^(cos(y))	$e^{\cos (y)}$
14607	Find the Derivative - d/dx	y=sin(x)cot(x)	$y = \sin (x) \cot (x)$
14608	Find the Derivative - d/dx	y=sin(tan( square root of 1+x^3))	$y = \sin (\tan (\sqrt{1 + x^{3}}))$
14609	Find the Derivative - d/dx	y=sin(pi)x	$y = \sin (π) x$
14610	Find the Derivative - d/dx	y=sin(tan(8x))	$y = \sin (\tan (8 x))$
14611	Find the Derivative - d/dx	y=sin(x)+cos(2x)	$y = \sin (x) + \cos (2 x)$
14612	Find the Derivative - d/dx	y=sin( natural log of x)+cos( natural log of x)	$y = \sin (\ln (x)) + \cos (\ln (x))$
14613	Find the Derivative - d/dx	y=sin(5x^3-9x^2)	$y = \sin (5 x^{3} - 9 x^{2})$
14614	Find the Derivative - d/dx	y=sin(cos(sin(x)))	$y = \sin (\cos (\sin (x)))$
14615	Find the Derivative - d/dx	y=-sin(x)	$y = - \sin (x)$
14616	Find the Derivative - d/dx	y=sin(5 square root of x)	$y = \sin (5 \sqrt{x})$
14617	Find the Derivative - d/dx	y=sin(6x)	$y = \sin (6 x)$
14618	Find the Derivative - d/dx	y=sin(6x) natural log of sin(6x)^2	$y = \sin (6 x) \ln (\sin^{2} (6 x))$
14619	Find the Derivative - d/dx	y=sin(4x^2)	$y = \sin (4 x^{2})$
14620	Find the Derivative - d/dx	y=x(4x^3+3x^2-6)	$y = x (4 x^{3} + 3 x^{2} - 6)$
14621	Find the Derivative - d/dx	y=x(9-x^2)	$y = x (9 - x^{2})$
14622	Find the Derivative - d/dx	y=x*4^x	$y = x \cdot 4^{x}$
14623	Find the Derivative - d/dx	y=tan(x)+sin(x)	$y = \tan (x) + \sin (x)$
14624	Find the Derivative - d/dx	y=tan(h( square root of x))	$y = \tanh (\sqrt{x})$
14625	Find the Derivative - d/dx	y=tan(5x^3)	$y = \tan (5 x^{3})$
14626	Find the Derivative - d/dx	y=tan(3x)	$y = \tan (3 x)$
14627	Find the Derivative - d/dx	y=tan(4x^3)	$y = \tan (4 x^{3})$
14628	Find the Derivative - d/dx	y=tan(5x)	$y = \tan (5 x)$
14629	Find the Derivative - d/dx	y=tan(arcsin(x))	$y = \tan (\arcsin (x))$
14630	Find the Derivative - d/dx	y=tan(2x-x^3)	$y = \tan (2 x - x^{3})$
14631	Find the Derivative - d/dx	y=sin(h(cos(3x)))	$y = \sinh (\cos (3 x))$
14632	Find the Derivative - d/dx	y=tan(e^(3x))	$y = \tan (e^{3 x})$
14633	Find the Derivative - d/dx	y=tan( square root of 3x)	$y = \tan (\sqrt{3 x})$
14634	Find the Derivative - d/dt	y=tan( square root of 3t)	$y = \tan (\sqrt{3 t})$
14635	Find the Derivative - d/dx	y=x square root of 64-x^2	$y = x \sqrt{64 - x^{2}}$
14636	Find the Derivative - d/dx	y=x+ square root of 1+x^2	$y = x + \sqrt{1 + x^{2}}$
14637	Find the Derivative - d/dx	y=x+4/(3x)	$y = x + \frac{4}{3 x}$
14638	Find the Derivative - d/dx	y=x+4/x	$y = x + \frac{4}{x}$
14639	Find the Derivative - d/dx	y=x+a/x-b/(x^3)	$y = x + \frac{a}{x} - \frac{b}{x^{3}}$
14640	Find the Derivative - d/dx	y=xcos(h(x))-sin(h(x))	$y = x \cosh (x) - \sinh (x)$
14641	Find the Derivative - d/dx	y=-x-cot(x)	$y = - x - \cot (x)$
14642	Find the Derivative - d/dx	y=xcot(h(3+x^2))	$y = x \coth (3 + x^{2})$
14643	Find the Derivative - d/dx	y=xcos(x)+sin(x)	$y = x \cos (x) + \sin (x)$
14644	Find the Derivative - d/dx	y=xsin(3/x)	$y = x \sin (\frac{3}{x})$
14645	Find the Derivative - d/dx	y=xsin(4/x)	$y = x \sin (\frac{4}{x})$
14646	Find the Derivative - d/dx	y=xsin(6/x)	$y = x \sin (\frac{6}{x})$
14647	Find the Derivative - d/dx	y=xcos(5x^2)	$y = x \cos (5 x^{2})$
14648	Find the Derivative - d/dx	y=x+sin(2x)	$y = x + \sin (2 x)$
14649	Find the Derivative - d/dx	y=x-1/60x^3	$y = x - \frac{1}{60} x^{3}$
14650	Find the Derivative - d/dx	y=x natural log of (x)^3	$y = x \ln ({(x)}^{3})$
14651	Find the Derivative - d/dx	y=x square root of 36-x^2	$y = x \sqrt{36 - x^{2}}$
14652	Find the Derivative - d/dx	y=x(6-2x)^2	$y = x {(6 - 2 x)}^{2}$
14653	Find the Derivative - d/dx	y=x( natural log of 11x)^2	$y = x \ln^{2} (11 x)$
14654	Find the Derivative - d/dx	y=x( natural log of 3x)^2	$y = x \ln^{2} (3 x)$
14655	Find the Derivative - d/dx	y=x(x^4+7)^3	$y = x {(x^{4} + 7)}^{3}$
14656	Find the Derivative - d/dx	y=x(x^3+7)^5	$y = x {(x^{3} + 7)}^{5}$
14657	Find the Derivative - d/dy	((y-1)^4)/((y^2+2y)^8)	$\frac{{(y - 1)}^{4}}{{(y^{2} + 2 y)}^{8}}$
14658	Find the Derivative - d/dy	(y-4)/(y^2-2y+8)	$\frac{y - 4}{y^{2} - 2 y + 8}$
14659	Find the Derivative - d/dy	(x^2)/y	$\frac{x^{2}}{y}$
14660	Find the Derivative - d/dy	((y-2)^5)/((y^2+4y)^8)	$\frac{{(y - 2)}^{5}}{{(y^{2} + 4 y)}^{8}}$
14661	Find the Derivative - d/dy	((y-2)^6)/((y^2+4y)^8)	$\frac{{(y - 2)}^{6}}{{(y^{2} + 4 y)}^{8}}$
14662	Find the Derivative - d/dy	(y^2)/9	$\frac{y^{2}}{9}$
14663	Find the Derivative - d/dy	(y^2)/(4x^2)	$\frac{y^{2}}{4 x^{2}}$
14664	Find the Derivative - d/dy	1/(sin(y))	$\frac{1}{\sin (y)}$
14665	Find the Derivative - d/dy	(ye^x+xe^x-e^x)/((y+x)^2)	$\frac{y e^{x} + x e^{x} - e^{x}}{{(y + x)}^{2}}$
14666	Find the Derivative - d/dy	(13y^2)/((7x+13y)^2)	$\frac{13 y^{2}}{{(7 x + 13 y)}^{2}}$
14667	Find the Derivative - d/dy	(2x)/(y^2)	$\frac{2 x}{y^{2}}$
14668	Find the Derivative - d/dy	-3/(x^4y^2)	$- \frac{3}{x^{4} y^{2}}$
14669	Find the Derivative - d/dy	3/(y-3)	$\frac{3}{y - 3}$
14670	Find the Derivative - d/dx	y=xsin(x^2)	$y = x \sin (x^{2})$
14671	Find the Derivative - d/d@VAR	f(x)=x/(x^2+169)	$f (x) = \frac{x}{x^{2} + 169}$
14672	Find the Derivative - d/dx	y=-xtan(x)	$y = - x \tan (x)$
14673	Find the Derivative - d/dy	x-y	$x - y$
14674	Find the Derivative - d/dy	((e^y-e^(-y))/2)^2	${(\frac{e^{y} - e^{- y}}{2})}^{2}$
14675	Find the Derivative - d/dy	(1/(y^9))^6	${(\frac{1}{y^{9}})}^{6}$
14676	Find the Derivative - d/dy	(-x^2)/(y^2)	$\frac{- x^{2}}{y^{2}}$
14677	Find the Derivative - d/dy	(x-z)/(y+z)	$\frac{x - z}{y + z}$
14678	Find the Derivative - d/dy	(y+2)^4	${(y + 2)}^{4}$
14679	Find the Integral	x square root of xdx	$x \sqrt{x} d x$
14680	Find the Integral	x square root of 25-x^2	$x \sqrt{25 - x^{2}}$
14681	Find the Integral	tan(2t)	$\tan (2 t)$
14682	Find the Integral	tan(x)sec(x)^2	$\tan (x) \sec^{2} (x)$
14683	Find the Integral	tan(x)sec(x)	$\tan (x) \sec (x)$
14684	Find the Integral	tan(3x)	$\tan (3 x)$
14685	Find the Integral	tan(pi/4)	$\tan (\frac{π}{4})$
14686	Find the Integral	f(x)=( natural log of x)/x	$f (x) = \frac{\ln (x)}{x}$
14687	Find the Integral	sin(6x)	$\sin (6 x)$
14688	Find the Integral	6x-5	$6 x - 5$
14689	Find the Integral	4x-3	$4 x - 3$
14690	Find the Integral	6x^-7	$6 x^{- 7}$
14691	Find the Integral	6y	$6 y$
14692	Find the Integral	7x^3	$7 x^{3}$
14693	Find the Integral	5 square root of x	$5 \sqrt{x}$
14694	Find the Integral	5x-4	$5 x - 4$
14695	Find the Integral	6e^(-x)	$6 e^{- x}$
14696	Find the Integral	8x^3	$8 x^{3}$
14697	Find the Integral	9e^(-3x)	$9 e^{- 3 x}$
14698	Find the Integral	7sin(x)	$7 \sin (x)$
14699	Find the Integral	8e^x	$8 e^{x}$
14700	Find the Integral	arcsec( square root of 2)	$arcsec (\sqrt{2})$