Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14501	Find the Derivative - d/dy	arctan((x+y)/(1-xy))	$\arctan (\frac{x + y}{1 - x y})$
14502	Find the Derivative - d/dy	arctan(3y)	$\arctan (3 y)$
14503	Find the Derivative - d/dy	4x^8y^5+7x^6y^7	$4 x^{8} y^{5} + 7 x^{6} y^{7}$
14504	Find the Derivative - d/dy	8x^3+x^2y-xy^3	$8 x^{3} + x^{2} y - x y^{3}$
14505	Find the Derivative - d/dy	8xy	$8 x y$
14506	Find the Derivative - d/dy	28-x^2+2xy-4y^2	$28 - x^{2} + 2 x y - 4 y^{2}$
14507	Find the Derivative - d/dy	natural log of ((2y+1)^3)/( square root of y^2+1)	$\ln (\frac{{(2 y + 1)}^{3}}{\sqrt{y^{2} + 1}})$
14508	Find the Derivative - d/dy	g(y)=((y-2)^4)/((y^2+4y)^9)	$g (y) = \frac{{(y - 2)}^{4}}{{(y^{2} + 4 y)}^{9}}$
14509	Find the Derivative - d/dy	G(y)=((y-2)^5)/((y^2+4y)^7)	$G (y) = \frac{{(y - 2)}^{5}}{{(y^{2} + 4 y)}^{7}}$
14510	Find the Derivative - d/dy	g(y) = natural log of ((2y+1)^5)/( square root of y^2+1)	$g (y) = \ln (\frac{{(2 y + 1)}^{5}}{\sqrt{y^{2} + 1}})$
14511	Find the Derivative - d/dy	f(y)=( natural log of x)/y	$f (y) = \frac{\ln (x)}{y}$
14512	Find the Derivative - d/dy	f(y)=4x^2-2y^3+24x+24y-35	$f (y) = 4 x^{2} - 2 y^{3} + 24 x + 24 y - 35$
14513	Find the Derivative - d/dy	f(y)=tan(x)	$f (y) = \tan (x)$
14514	Find the Derivative - d/dZ	y=sin(2-3x)	$y = \sin (2 - 3 x)$
14515	Find the Local Maxima and Minima	x^3-14x^2+49x	$x^{3} - 14 x^{2} + 49 x$
14516	Find the Local Maxima and Minima	x^8e^x-7	$x^{8} e^{x} - 7$
14517	Find the Integral	(dx)/(9x^2-4)*(dx)	$\frac{d x}{9 x^{2} - 4} \cdot (d x)$
14518	Find the Integral	-2x+3y	$- 2 x + 3 y$
14519	Find the Integral	f(x)=e^(-3x)sin(16x)	$f (x) = e^{- 3 x} \sin (16 x)$
14520	Find the Derivative - d/dz	y = square root of 1+ natural log of z	$y = \sqrt{1 + \ln (z)}$
14521	Find the Derivative - d/dz	y=pi/6*sin(x)-sin(x)	$y = \frac{π}{6} \cdot \sin (x) - \sin (x)$
14522	Find the Derivative - d/dZ	y=cot(sin(x))^2	$y = \cot^{2} (\sin (x))$
14523	Find the Derivative - d/dZ	y=10^(tan(pix))	$y = 10^{\tan (π x)}$
14524	Find the Derivative - d/dz	natural log of z	$\ln (z)$
14525	Find the Derivative - d/dz	p(z)=z(6z+1)^(4/3)	$p (z) = z {(6 z + 1)}^{\frac{4}{3}}$
14526	Find the Derivative - d/dZ	y=tan(6-3x)	$y = \tan (6 - 3 x)$
14527	Find the Derivative - d/dz	y = natural log of cos(h(z))	$y = \ln (\cosh (z))$
14528	Find the Derivative - d/dz	z	$z$
14529	Find the Derivative - d/dz	z natural log of x^2ycos(z)	$z \ln (x^{2} y \cos (z))$
14530	Find the Integral	(x^3+x^2)v((5x^4)/2+(10x^3)/3)	$(x^{3} + x^{2}) v (\frac{5 x^{4}}{2} + \frac{10 x^{3}}{3})$
14531	Find the Integral	(1-t)e^(2t-t^2)	$(1 - t) e^{2 t - t^{2}}$
14532	Find the Integral	(4x^3-csc(2x+3)cot(2x+3)- fifth root of 6-5x)dx	$(4 x^{3} - \csc (2 x + 3) \cot (2 x + 3) - \sqrt[5]{6 - 5 x}) d x$
14533	Find the Integral	(2u^3)/3+(3u^2)/2	$\frac{2 u^{3}}{3} + \frac{3 u^{2}}{2}$
14534	Find the Integral	(x-6)^2	${(x - 6)}^{2}$
14535	Find the Integral	(e^(1/z))/(z^2)*(dz)	$\frac{e^{\frac{1}{z}}}{z^{2}} \cdot (d z)$
14536	Find the Integral	(x-1)/(x^2+6x+9)	$\frac{x - 1}{x^{2} + 6 x + 9}$
14537	Find the Integral	(e^(1/x))/(x^2)	$\frac{e^{\frac{1}{x}}}{x^{2}}$
14538	Find the Integral	(e^(2x))/(9+e^(2x))	$\frac{e^{2 x}}{9 + e^{2 x}}$
14539	Find the Integral	(e^(3x))/(8+e^(3x))*(dx)	$\frac{e^{3 x}}{8 + e^{3 x}} \cdot (d x)$
14540	Find the Integral	(7-6x^3+4x^6)/(x^6)	$\frac{7 - 6 x^{3} + 4 x^{6}}{x^{6}}$
14541	Find the Integral	(x+1)/x	$\frac{x + 1}{x}$
14542	Find the Integral	((x+2)(2x-5))/x	$\frac{(x + 2) (2 x - 5)}{x}$
14543	Find the Integral	(4t+4)(t^2+2t+2)^(1/3)	$(4 t + 4) {(t^{2} + 2 t + 2)}^{\frac{1}{3}}$
14544	Find the Integral	(2t^2-1)^2	${(2 t^{2} - 1)}^{2}$
14545	Find the Integral	(3-6x^3+4x^6)/(x^6)	$\frac{3 - 6 x^{3} + 4 x^{6}}{x^{6}}$
14546	Find the Integral	(e^x+1)(e^(-x)+1)	$(e^{x} + 1) (e^{- x} + 1)$
14547	Find the Integral	(x+1)(3x-2)	$(x + 1) (3 x - 2)$
14548	Find the Integral	( square root of -12)^3	${(\sqrt{- 12})}^{3}$
14549	Find the Integral	(x^2+1)^3x^2	${(x^{2} + 1)}^{3} x^{2}$
14550	Find the Integral	( cube root of 9)^x	${(\sqrt[3]{9})}^{x}$
14551	Find the Integral	(x)( ninth root of x)	$(x) (\sqrt[9]{x})$
14552	Find the Integral	(-1-i square root of 3)^10	${(- 1 - i \sqrt{3})}^{10}$
14553	Find the Integral	(3 square root of 3)^(-1/3)	${(3 \sqrt{3})}^{- \frac{1}{3}}$
14554	Find the Integral	(3t+4)^2.4	${(3 t + 4)}^{2.4}$
14555	Find the Derivative - d/dy	11y natural log of x	$11 y \ln (x)$
14556	Find the Derivative - d/dy	130x^0.4y^0.6+q(450x+360y-90000)	$130 x^{0.4} y^{0.6} + q (450 x + 360 y - 90000)$
14557	Find the Derivative - d/dy	2e^y	$2 e^{y}$
14558	Find the Derivative - d/dy	1-y	$1 - y$
14559	Find the Derivative - d/dy	-y/(2x)	$- \frac{y}{2 x}$
14560	Find the Derivative - d/dx	log base 11 of x	$\log_{11} (x)$
14561	Find the Derivative - d/dy	(x-y)/(x+y)	$\frac{x - y}{x + y}$
14562	Find the Derivative - d/dy	y^2cos(x)	$y^{2} \cos (x)$
14563	Find the Derivative - d/dy	-y^2	$- y^{2}$
14564	Find the Derivative - d/dy	(y-5)/(y^2-3y+15)	$\frac{y - 5}{y^{2} - 3 y + 15}$
14565	Find the Derivative - d/dy	0.007184x^0.425y^0.725	$0.007184 x^{0.425} y^{0.725}$
14566	Find the Derivative - d/dy	y/(1-y)	$\frac{y}{1 - y}$
14567	Find the Derivative - d/dy	(y-1)/(y^2-3y+3)	$\frac{y - 1}{y^{2} - 3 y + 3}$
14568	Find the Derivative - d/dy	y^4	$y^{4}$
14569	Find the Derivative - d/dy	4xe^y	$4 x e^{y}$
14570	Find the Derivative - d/dy	(3y^2dy)/(dx)	$\frac{3 y^{2} d y}{d x}$
14571	Find the Derivative - d/dy	4y^4-72y^2+9x^2-13	$4 y^{4} - 72 y^{2} + 9 x^{2} - 13$
14572	Find the Derivative - d/dy	48x^3y-24y^2	$48 x^{3} y - 24 y^{2}$
14573	Find the Derivative - d/dy	-2y	$- 2 y$
14574	Find the Derivative - d/dy	3e^(5yx)	$3 e^{5 y x}$
14575	Find the Derivative - d/dy	27x^3+y^3	$27 x^{3} + y^{3}$
14576	Find the Derivative - d/dy	2xy+9x	$2 x y + 9 x$
14577	Find the Derivative - d/dy	3xy^2	$3 x y^{2}$
14578	Find the Derivative - d/dy	-(3y)/x	$- \frac{3 y}{x}$
14579	Find the Derivative - d/dy	3cos(y)-4	$3 \cos (y) - 4$
14580	Find the Derivative - d/dy	5x^2-2xy+7y^2	$5 x^{2} - 2 x y + 7 y^{2}$
14581	Find the Derivative - d/dy	5x^2+7y+6x^2y^2	$5 x^{2} + 7 y + 6 x^{2} y^{2}$
14582	Find the Derivative - d/dy	4x+2y	$4 x + 2 y$
14583	Find the Derivative - d/dy	4x+3y	$4 x + 3 y$
14584	Find the Derivative - d/dy	7xy	$7 x y$
14585	Find the Derivative - d/dy	x^5+zsin(xyz)	$x^{5} + z \sin (x y z)$
14586	Find the Derivative - d/dy	xe^(x/y)	$x e^{\frac{x}{y}}$
14587	Find the Derivative - d/dy	(xy)/(3x+8y)	$\frac{x y}{3 x + 8 y}$
14588	Find the Derivative - d/dy	x^2y^2+z^2	$x^{2} y^{2} + z^{2}$
14589	Find the Derivative - d/dy	x^3y	$x^{3} y$
14590	Find the Derivative - d/dy	x^4-2xy+y-1	$x^{4} - 2 x y + y - 1$
14591	Find the Derivative - d/dy	x^2y^2-xy^2+x^2y	$x^{2} y^{2} - x y^{2} + x^{2} y$
14592	Find the Derivative - d/dy	x/(x-y)	$\frac{x}{x - y}$
14593	Find the Derivative - d/dy	x^2-2xy+y^2	$x^{2} - 2 x y + y^{2}$
14594	Find the Derivative - d/dy	x^2+y^2+xy-5x+4	$x^{2} + y^{2} + x y - 5 x + 4$
14595	Find the Derivative - d/dy	pie^(sin(x+y))-pi/4	$π e^{\sin (x + y)} - \frac{π}{4}$
14596	Find the Derivative - d/dy	sec(y)^2	$\sec^{2} (y)$
14597	Find the Derivative - d/dy	-(5x)/y	$- \frac{5 x}{y}$
14598	Find the Derivative - d/dy	(7x^2)/((7x+13y)^2)	$\frac{7 x^{2}}{{(7 x + 13 y)}^{2}}$
14599	Find the Derivative - d/dy	(70y^2)/(y^2+150)	$\frac{70 y^{2}}{y^{2} + 150}$
14600	Find the Derivative - d/dy	e^(xy) natural log of y	$e^{x y} \ln (y)$