Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7401	Find the Derivative - d/dx	y=(x^5 natural log of x)^6	$y = {(x^{5} \ln (x))}^{6}$
7402	Find the Derivative - d/dx	y=(x^4-3x^2+5)^3	$y = {(x^{4} - 3 x^{2} + 5)}^{3}$
7403	Find the Derivative - d/dx	y=(x^3-2x)^( natural log of x)	$y = {(x^{3} - 2 x)}^{\ln (x)}$
7404	Find the Derivative - d/dx	y=(1-2x)^4	$y = {(1 - 2 x)}^{4}$
7405	Find the Derivative - d/dx	y=(x^2-1)^3	$y = {(x^{2} - 1)}^{3}$
7406	Find the Derivative - d/dx	g(x)=3(4-9x)^4	$g (x) = 3 {(4 - 9 x)}^{4}$
7407	Find the Derivative - d/dx	f(x)sin(x^2)	$f (x) \sin (x^{2})$
7408	Find the Derivative - d/dx	f(x)g(x)	$f (x) g (x)$
7409	Find the Derivative - d/dx	g(x)=(x^2+1)^3(x^2+2)^6	$g (x) = {(x^{2} + 1)}^{3} {(x^{2} + 2)}^{6}$
7410	Find the Derivative - d/dx	natural log of x/3	$\ln (\frac{x}{3})$
7411	Find the Derivative - d/dx	natural log of square root of xy	$\ln (\sqrt{x y})$
7412	Find the Derivative - d/dx	natural log of -x^3+6x^2+63x+1	$\ln (- x^{3} + 6 x^{2} + 63 x + 1)$
7413	Find the Derivative - d/dx	natural log of x^2+64	$\ln (x^{2} + 64)$
7414	Find the Derivative - d/dx	natural log of x^2-4x+5	$\ln (x^{2} - 4 x + 5)$
7415	Find the Derivative - d/dx	natural log of 1-2x	$\ln (1 - 2 x)$
7416	Find the Derivative - d/dx	natural log of 3x+7	$\ln (3 x + 7)$
7417	Find the Derivative - d/dx	natural log of 3x^2-2x+1	$\ln (3 x^{2} - 2 x + 1)$
7418	Find the Derivative - d/dx	natural log of e^(3x)	$\ln (e^{3 x})$
7419	Find the Derivative - d/dx	natural log of (6-x)/(6+x)	$\ln (\frac{6 - x}{6 + x})$
7420	Find the Derivative - d/dx	natural log of square root of (1+sin(x))/(1-sin(x))	$\ln (\sqrt{\frac{1 + \sin (x)}{1 - \sin (x)}})$
7421	Find the Derivative - d/dx	natural log of e^x+1	$\ln (e^{x} + 1)$
7422	Find the Derivative - d/dx	natural log of \|cos(x)\|	$\ln (\| \cos (x) \|)$
7423	Find the Derivative - d/dx	f(x)=arcsec(2x)	$f (x) = arcsec (2 x)$
7424	Find the Derivative - d/dx	f(x)=9x^(5/2)-7x^(3/2)	$f (x) = 9 x^{\frac{5}{2}} - 7 x^{\frac{3}{2}}$
7425	Find the Derivative - d/dx	f(x)=9tan(x)	$f (x) = 9 \tan (x)$
7426	Find the Derivative - d/dx	f(x)=7e^x	$f (x) = 7 e^{x}$
7427	Find the Derivative - d/dx	f(x) = natural log of e^(9x)+4	$f (x) = \ln (e^{9 x} + 4)$
7428	Find the Derivative - d/dx	f(x) = natural log of (2x)/(x+3)	$f (x) = \ln (\frac{2 x}{x + 3})$
7429	Find the Derivative - d/dx	f(x)=arctan(e^x)	$f (x) = \arctan (e^{x})$
7430	Find the Derivative - d/d@VAR	p(t)=(2000t)/(4t+75)	$p (t) = \frac{2000 t}{4 t + 75}$
7431	Find the Derivative - d/dx	f(x)=cos(5x)	$f (x) = \cos (5 x)$
7432	Find the Derivative - d/dx	f(x)=cos(4x)	$f (x) = \cos (4 x)$
7433	Find the Derivative - d/dx	f(x)=cos(pi)x	$f (x) = \cos (π) x$
7434	Find the Derivative - d/d@VAR	f(x) = square root of 15x	$f (x) = \sqrt{15 x}$
7435	Find the Derivative - d/dx	f(x)=x natural log of x-x	$f (x) = x \ln (x - x)$
7436	Find dy/dx	y^3+yx^2+x^2-3y^2=0	$y^{3} + y x^{2} + x^{2} - 3 y^{2} = 0$
7437	Find the Derivative - d/dx	f(x)=sin(h(3x))	$f (x) = \sinh (3 x)$
7438	Find the Derivative - d/dx	f(x) = natural log of sec(x)	$f (x) = \ln (\sec (x))$
7439	Find the Derivative - d/dx	f(x) = natural log of natural log of 14x	$f (x) = \ln (\ln (14 x))$
7440	Evaluate the Limit	limit as x approaches 6 of (x^2-4x-12)/(x-6)	$lim_{x \to 6} \frac{x^{2} - 4 x - 12}{x - 6}$
7441	Find the Derivative - d/dx	f(x) = natural log of 1+sin(x)	$f (x) = \ln (1 + \sin (x))$
7442	Find the Derivative - d/dx	f(x)=sin(sin(x))	$f (x) = \sin (\sin (x))$
7443	Find the Derivative - d/dx	f(x)=sin(pix)	$f (x) = \sin (π x)$
7444	Find the Derivative - d/dx	x-1/95x^3	$x - \frac{1}{95} x^{3}$
7445	Find the Derivative - d/dx	xarcsin(x)	$x \arcsin (x)$
7446	Find the Derivative - d/dx	xarctan(x)	$x \arctan (x)$
7447	Find the Derivative - d/dx	x natural log of (x)^2	$x \ln ({(x)}^{2})$
7448	Find the Derivative - d/dx	x square root of 3-x^2	$x \sqrt{3 - x^{2}}$
7449	Find the Derivative - d/dx	x+32/(x^2)	$x + \frac{32}{x^{2}}$
7450	Find the Derivative - d/dx	x+6	$x + 6$
7451	Find the Derivative - d/dx	x+tan(xy)	$x + \tan (x y)$
7452	Find the Derivative - d/dx	xcos(x^2)	$x \cos (x^{2})$
7453	Find the Derivative - d/dx	x natural log of 2x	$x \ln (2 x)$
7454	Find the Derivative - d/dx	x- natural log of 2x	$x - \ln (2 x)$
7455	Find the Derivative - d/dx	x natural log of 8x	$x \ln (8 x)$
7456	Find the Derivative - d/dx	xdx	$x d x$
7457	Find the Derivative - d/dx	x natural log of 2y-x	$x \ln (2 y) - x$
7458	Find the Derivative - d/dx	y=(13x^2-26x+26)e^(-7x)	$y = (13 x^{2} - 26 x + 26) e^{- 7 x}$
7459	Find the Derivative - d/dx	y=(13x^2-26x+26)e^x	$y = (13 x^{2} - 26 x + 26) e^{x}$
7460	Find the Derivative - d/dx	y=(10x^2-20x+20)e^x	$y = (10 x^{2} - 20 x + 20) e^{x}$
7461	Find the Derivative - d/dx	y=(11x^2-22x+22)e^x	$y = (11 x^{2} - 22 x + 22) e^{x}$
7462	Find the Derivative - d/dx	y=(arctan(5x))^2
7463	Find the Derivative - d/dx	y=(arctan(6x))^2
7464	Find the Derivative - d/dx	y=(x^2+1)(x+5+1/x)	$y = (x^{2} + 1) (x + 5 + \frac{1}{x})$
7465	Find the Derivative - d/dx	y=(3x-2x^2)(5+4x)	$y = (3 x - 2 x^{2}) (5 + 4 x)$
7466	Find the Derivative - d/dx	y=(3x^2+4)(4x-3)	$y = (3 x^{2} + 4) (4 x - 3)$
7467	Find the Derivative - d/dx	y=(2x^7-x^2)((x-1)/(x+1))	$y = (2 x^{7} - x^{2}) (\frac{x - 1}{x + 1})$
7468	Find the Derivative - d/dx	y=(3x^2+2)(2x-1)	$y = (3 x^{2} + 2) (2 x - 1)$
7469	Find the Derivative - d/dx	y=(1/3)^x	$y = {(\frac{1}{3})}^{x}$
7470	Find the Derivative - d/dx	y=(sin(x)+cos(x))sec(x)	$y = (\sin (x) + \cos (x)) \sec (x)$
7471	Find the Derivative - d/dx	y=(5x^2-10x+10)e^(-7x)	$y = (5 x^{2} - 10 x + 10) e^{- 7 x}$
7472	Find the Derivative - d/dx	y=(4x^2-1)(7x^3+x)	$y = (4 x^{2} - 1) (7 x^{3} + x)$
7473	Find the Derivative - d/dx	y=(5-x^2)(x^3-5x+5)	$y = (5 - x^{2}) (x^{3} - 5 x + 5)$
7474	Find the Derivative - d/dx	y=(5x-1)(4+3x)	$y = (5 x - 1) (4 + 3 x)$
7475	Find the Derivative - d/dx	y=(8x+5)(x^2-3x)	$y = (8 x + 5) (x^{2} - 3 x)$
7476	Find the Derivative - d/dx	tan(4x^2)	$\tan (4 x^{2})$
7477	Find the Derivative - d/dx	tan(1/x)	$\tan (\frac{1}{x})$
7478	Find the Derivative - d/dx	sin(h(6x))	$\sinh (6 x)$
7479	Find the Derivative - d/dx	sin(x)dx	$\sin (x) d x$
7480	Find the Derivative - d/dx	sin(x)sec(x)	$\sin (x) \sec (x)$
7481	Find the Derivative - d/dx	sin(x) natural log of 8x	$\sin (x) \ln (8 x)$
7482	Find the Derivative - d/dx	sin(h(2x))	$\sinh (2 x)$
7483	Find the Derivative - d/dx	sin(sin(5x))	$\sin (\sin (5 x))$
7484	Find the Derivative - d/dx	sin(x)+2cos(x)	$\sin (x) + 2 \cos (x)$
7485	Find the Derivative - d/dx	sin(5 natural log of x)	$\sin (5 \ln (x))$
7486	Find the Derivative - d/dx	sin(6x+5)	$\sin (6 x + 5)$
7487	Find the Derivative - d/dx	sin(pi)x	$\sin (π) x$
7488	Find the Derivative - d/dx	sin(arccos(x))	$\sin (\arccos (x))$
7489	Find the Derivative - d/dx	sin( natural log of x^2)	$\sin (\ln (x^{2}))$
7490	Find the Derivative - d/dx	sin(cos(2x))	$\sin (\cos (2 x))$
7491	Find the Derivative - d/dx	sin(x^2y^2)	$\sin (x^{2} y^{2})$
7492	Find the Derivative - d/dx	sin(10x)	$\sin (10 x)$
7493	Find the Derivative - d/dx	sin(3x^2)	$\sin (3 x^{2})$
7494	Find the Derivative - d/dx	x(27-x)(18-2x)	$x (27 - x) (18 - 2 x)$
7495	Find the Derivative - d/dx	tan(x-y)	$\tan (x - y)$
7496	Find the Derivative - d/dx	tan(x)dx	$\tan (x) d x$
7497	Find the Derivative - d/dx	tan(sin(x^2))	$\tan (\sin (x^{2}))$
7498	Find the Derivative - d/dx	natural log of 5x^2+1	$\ln (5 x^{2} + 1)$
7499	Find the Derivative - d/dx	natural log of 4sec(x)	$\ln (4 \sec (x))$
7500	Find the Derivative - d/dx	natural log of 6x+5	$\ln (6 x + 5)$