Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10401	Find dz/dx	z=(6x)/y	$z = \frac{6 x}{y}$
10402	Find dz/dx	z=(x^3y-xy^3)/(x^2+y^2)	$z = \frac{x^{3} y - x y^{3}}{x^{2} + y^{2}}$
10403	Find dz/dt	z=(3-t)(9+t^2)^-1	$z = (3 - t) {(9 + t^{2})}^{- 1}$
10404	Find dz/dx	z=(2x+3y)e^(4x+5y)	$z = (2 x + 3 y) e^{4 x + 5 y}$
10405	Find dz/dx	z=y/(y-x)	$z = \frac{y}{y - x}$
10406	Find dz/dt	z=(t-1)(t+1)	$z = (t - 1) (t + 1)$
10407	Find dz/dt	z = natural log of 3t-t	$z = \ln (3 t - t)$
10408	Find dz/dx	z^2=x^2+y^2	$z^{2} = x^{2} + y^{2}$
10409	Find dy/dx	y=xsin(x)	$y = x \sin (x)$
10410	Find dy/dx	y=xy+y^3	$y = x y + y^{3}$
10411	Find dy/dx	y=x-1/60x^3	$y = x - \frac{1}{60} x^{3}$
10412	Find dy/dx	y=x square root of 5-x^2	$y = x \sqrt{5 - x^{2}}$
10413	Find dy/dx	ycos(x)=4x^2+3y^2	$y \cos (x) = 4 x^{2} + 3 y^{2}$
10414	Find dy/dx	y=x square root of 36-x^2	$y = x \sqrt{36 - x^{2}}$
10415	Find dz/dx	z=x^(3/2)(x+ce^x)	$z = x^{\frac{3}{2}} (x + c e^{x})$
10416	Find dz/dy	y=19z^2+1/(5z)	$y = 19 z^{2} + \frac{1}{5 z}$
10417	Find dz/dy	z=x^2y+ye^(x^2)	$z = x^{2} y + y e^{x^{2}}$
10418	Find dz/dy	z=x^3e^(xy)	$z = x^{3} e^{x y}$
10419	Find dz/dy	z=7x^7-5xy-4y^5	$z = 7 x^{7} - 5 x y - 4 y^{5}$
10420	Find dz/dy	z=x^2+xy+y^2-y	$z = x^{2} + x y + y^{2} - y$
10421	Find dy/dx	y=pi/3*sin(x)-cos(x)	$y = \frac{π}{3} \cdot \sin (x) - \cos (x)$
10422	Find dy/dx	y=pi/4*cos(x)-sin(x)	$y = \frac{π}{4} \cdot \cos (x) - \sin (x)$
10423	Find dz/dy	z=xe^(x+y)	$z = x e^{x + y}$
10424	Find da/db	a=8/(b^2)	$a = \frac{8}{b^{2}}$
10425	Find the Implicit Differentiation - dc/do	cos(2x)+ square root of 2sin(x)=1	$\cos (2 x) + \sqrt{2} \sin (x) = 1$
10426	Find dy/dx	y=cos(3x^2)	$y = \cos (3 x^{2})$
10427	Find dy/dx	y=cos(6x)	$y = \cos (6 x)$
10428	Find dy/dx	y=9x^3+8x^2	$y = 9 x^{3} + 8 x^{2}$
10429	Find dy/dx	y=-8x^7-8	$y = - 8 x^{7} - 8$
10430	Find dy/dx	y=9e^x+4/( cube root of x)	$y = 9 e^{x} + \frac{4}{\sqrt[3]{x}}$
10431	Find dy/dx	y=9-x^2	$y = 9 - x^{2}$
10432	Find dy/dx	y=arctan(5x)	$y = \arctan (5 x)$
10433	Find dy/dx	y=6x^7cos(x)	$y = 6 x^{7} \cos (x)$
10434	Find dy/dx	y=7x-5	$y = 7 x - 5$
10435	Find dy/dx	y=7xsin(x)	$y = 7 x \sin (x)$
10436	Find dy/dx	y=8cos(x+y)	$y = 8 \cos (x + y)$
10437	Find dy/dx	y=5cos(x)tan(x)	$y = 5 \cos (x) \tan (x)$
10438	Find dy/dx	y=5tan(x)	$y = 5 \tan (x)$
10439	Find dy/dx	y=5x	$y = 5 x$
10440	Find dy/dx	y=7 natural log of 6x	$y = 7 \ln (6 x)$
10441	Find dy/dx	y=sin(e^(5x))	$y = \sin (e^{5 x})$
10442	Find dy/dx	y=sin(3x)	$y = \sin (3 x)$
10443	Find dy/dx	y=sec(tan(x))	$y = \sec (\tan (x))$
10444	Find dy/dx	y=sec(x)	$y = \sec (x)$
10445	Find dy/dx	y=sin(cos(x))	$y = \sin (\cos (x))$
10446	Find dy/dx	y=sec(3x)	$y = \sec (3 x)$
10447	Find dy/dx	y = natural log of 3x	$y = \ln (3 x)$
10448	Find dy/dx	y = natural log of 8x	$y = \ln (8 x)$
10449	Find dy/dx	y=tan(cos(x))	$y = \tan (\cos (x))$
10450	Find dy/dx	y=sin(x)-2sec(x)	$y = \sin (x) - 2 \sec (x)$
10451	Find dy/dx	y=x(x^2-6)	$y = x (x^{2} - 6)$
10452	Find dy/dx	y = natural log of x^4	$y = \ln (x^{4})$
10453	Find dy/dx	y = natural log of x^2+1	$y = \ln (x^{2} + 1)$
10454	Find dy/dx	y = natural log of square root of x	$y = \ln (\sqrt{x})$
10455	Find dy/dx	y = natural log of x^6(x^9-x+5)	$y = \ln (x^{6} (x^{9} - x + 5))$
10456	Find dy/dx	y = natural log of 5x	$y = \ln (5 x)$
10457	Find dy/dx	y = natural log of tan(x)	$y = \ln (\tan (x))$
10458	Find dy/dx	y = natural log of x	$y = \ln (x)$
10459	Find dy/dx	y=x^2 log base 2 of 5-4x	$y = x^{2} \log_{2} (5 - 4 x)$
10460	Find dy/dx	y=x^2 square root of 2x-5	$y = x^{2} \sqrt{2 x - 5}$
10461	Find dy/dx	y=x^(2cot(x))	$y = x^{2 \cot (x)}$
10462	Find dy/dx	y=x^2+2	$y = x^{2} + 2$
10463	Find dy/dx	y=-x^4+12x^3-12x+7	$y = - x^{4} + 12 x^{3} - 12 x + 7$
10464	Find dy/dx	y=x^3-2x^2-4x+1	$y = x^{3} - 2 x^{2} - 4 x + 1$
10465	Find dy/dx	y=x^3-1	$y = x^{3} - 1$
10466	Find dy/dx	y=x^3(2x-1)^5	$y = x^{3} {(2 x - 1)}^{5}$
10467	Find dy/dx	y=(5x^2-9x+13)/(2x+4)	$y = \frac{5 x^{2} - 9 x + 13}{2 x + 4}$
10468	Find dy/dx	y = square root of sec(8x)	$y = \sqrt{\sec (8 x)}$
10469	Find dy/dx	y = cube root of 3-x^2	$y = \sqrt[3]{3 - x^{2}}$
10470	Find dy/dx	y=x/( square root of x-1)	$y = \frac{x}{\sqrt{x - 1}}$
10471	Evaluate the Limit	limit as x approaches 7 of (x^2-4x-21)/(x-7)	$lim_{x \to 7} \frac{x^{2} - 4 x - 21}{x - 7}$
10472	Find dy/dx	y=x^(-8/9)	$y = x^{- \frac{8}{9}}$
10473	Find dy/dx	y=x^( square root of 10)	$y = x^{\sqrt{10}}$
10474	Find dy/dx	y=x^-1+x^-2+2^x	$y = x^{- 1} + x^{- 2} + 2^{x}$
10475	Find dy/dx	y = square root of 4+3x	$y = \sqrt{4 + 3 x}$
10476	Find the Area Between the Curves	y=x , y=x^3 , x=0 , x=1	$y = x$ , $y = x^{3}$ , $x = 0$ , $x = 1$
10477	Find dy/dx	y = square root of -9-3x	$y = \sqrt{- 9 - 3 x}$
10478	Find the Antiderivative	e^(5x)	$e^{5 x}$
10479	Find the Antiderivative	8/x	$\frac{8}{x}$
10480	Find the Local Maxima and Minima	y=x^4-4x^2	$y = x^{4} - 4 x^{2}$
10481	Find dy/dx	y = square root of (x^2-5)/(x^2+4)	$y = \sqrt{\frac{x^{2} - 5}{x^{2} + 4}}$
10482	Find dy/dx	y = square root of e^x+20	$y = \sqrt{e^{x} + 20}$
10483	Find dy/dx	y=( natural log of 4x)/(9x)	$y = \frac{\ln (4 x)}{9 x}$
10484	Find dy/dx	y = log base 6 of x	$y = \log_{6} (x)$
10485	Find dy/dx	y=mx^4	$y = m x^{4}$
10486	Find dy/dx	y=e^(7-(5/x))	$y = e^{7 - (\frac{5}{x})}$
10487	Find dy/dx	y=(sec(2x))/(1+tan(2x))	$y = \frac{\sec (2 x)}{1 + \tan (2 x)}$
10488	Find dy/dx	y=(sin(x))/(1+cos(x))	$y = \frac{\sin (x)}{1 + \cos (x)}$
10489	Find dy/dx	y=tan(sin(x))^2	$y = \tan^{2} (\sin (x))$
10490	Find dy/dx	y=(sin(x)-cos(x))/(sin(x))	$y = \frac{\sin (x) - \cos (x)}{\sin (x)}$
10491	Find dy/dx	y=4x(3x-9)^-4	$y = 4 x {(3 x - 9)}^{- 4}$
10492	Find dy/dx	y=4x+2	$y = 4 x + 2$
10493	Find dy/dx	y=(x+6)(x^2-6)	$y = (x + 6) (x^{2} - 6)$
10494	Find dy/dx	y=4x^3+(x^2)/2+6	$y = 4 x^{3} + \frac{x^{2}}{2} + 6$
10495	Find dy/dx	y=5cos(x)^-4+sin(x)cos(x)	$y = 5 \cos^{- 4} (x) + \sin (x) \cos (x)$
10496	Find dy/dx	y=5x^2+cos(x)	$y = 5 x^{2} + \cos (x)$
10497	Find dy/dx	y=5x^2-4x	$y = 5 x^{2} - 4 x$
10498	Find dy/dx	y=4arcsin(2x^3)	$y = 4 \arcsin (2 x^{3})$
10499	Find dy/dx	y=5x^3(4x^5-7x^3)	$y = 5 x^{3} (4 x^{5} - 7 x^{3})$
10500	Find dy/dx	y=5x^3+3x^2	$y = 5 x^{3} + 3 x^{2}$