Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7501	Find the Derivative - d/dx	natural log of 7-3x	$\ln (7 - 3 x)$
7502	Find the Derivative - d/dx	natural log of cos(x^2)	$\ln (\cos (x^{2}))$
7503	Find the Derivative - d/dx	natural log of csc(x)	$\ln (\csc (x))$
7504	Find the Derivative - d/dx	natural log of natural log of 4x	$\ln (\ln (4 x))$
7505	Find the Derivative - d/dx	natural log of sec(9x)+tan(9x)	$\ln (\sec (9 x) + \tan (9 x))$
7506	Find the Derivative - d/dx	natural log of tan(h(x/2))	$\ln (\tanh (\frac{x}{2}))$
7507	Find the Derivative - d/dx	natural log of x+ square root of 3+x^2	$\ln (x + \sqrt{3 + x^{2}})$
7508	Find the Derivative - d/dx	log of sin(x)	$\log (\sin (x))$
7509	Find the Derivative - d/dx	log of 4x	$\log (4 x)$
7510	Find the Derivative - d/dx	r(x)=7+x^2	$r (x) = 7 + x^{2}$
7511	Find the Derivative - d/dx	-Rp+px	$- R p + p x$
7512	Find the Derivative - d/dx	sec(pix)	$\sec (π x)$
7513	Find the Derivative - d/dx	sec(h(x))	$sech (x)$
7514	Find the Derivative - d/dx	sin(e^(3x))	$\sin (e^{3 x})$
7515	Find the Asymptotes	h(t)=(t^2-6t)/(t^4-1296)	$h (t) = \frac{t^{2} - 6 t}{t^{4} - 1296}$
7516	Find the Derivative - d/dx	square root of 5x+1	$\sqrt{5 x + 1}$
7517	Find the Derivative - d/dx	f(x)=( log base 9 of x)/(x^2)	$f (x) = \frac{\log_{9} (x)}{x^{2}}$
7518	Find the Derivative - d/dx	f(x)=(e^(4x))/(x^16)	$f (x) = \frac{e^{4 x}}{x^{16}}$
7519	Find the Derivative - d/dx	f(x)=(e^(5x))/(x^10)	$f (x) = \frac{e^{5 x}}{x^{10}}$
7520	Find the Derivative - d/dx	f(x)=(e^(5x))/(x^15)	$f (x) = \frac{e^{5 x}}{x^{15}}$
7521	Find the Derivative - d/dx	f(x)=10^( square root of x)	$f (x) = 10^{\sqrt{x}}$
7522	Find the Derivative - d/dx	f(x)=-14/(x^4)	$f (x) = - \frac{14}{x^{4}}$
7523	Find the Derivative - d/dx	f(x)=2/(x-2)	$f (x) = \frac{2}{x - 2}$
7524	Find the Derivative - d/dx	f(x)=1/( fifth root of x)	$f (x) = \frac{1}{\sqrt[5]{x}}$
7525	Find the Derivative - d/dx	f(x)=1/(x^10)	$f (x) = \frac{1}{x^{10}}$
7526	Find the Derivative - d/dx	f(x)=1/( cube root of 3-x^3)	$f (x) = \frac{1}{\sqrt[3]{3 - x^{3}}}$
7527	Find the Derivative - d/dx	f(x)=1/( cube root of x)	$f (x) = \frac{1}{\sqrt[3]{x}}$
7528	Find the Derivative - d/d@VAR	g(x) = square root of 15x	$g (x) = \sqrt{15 x}$
7529	Find the Derivative - d/dx	f(x)=-1/x	$f (x) = - \frac{1}{x}$
7530	Find the Derivative - d/dx	f(x)=(x^3-8)^4	$f (x) = {(x^{3} - 8)}^{4}$
7531	Find the Derivative - d/dx	f(x)=( natural log of x)^12	$f (x) = \ln^{12} (x)$
7532	Find the Derivative - d/dx	f(x)=(x+1)/(x-1)	$f (x) = \frac{x + 1}{x - 1}$
7533	Find the Derivative - d/dx	f(x)=(9-6x)^14	$f (x) = {(9 - 6 x)}^{14}$
7534	Find the Derivative - d/dx	f(x)=(5x^2-3)^6	$f (x) = {(5 x^{2} - 3)}^{6}$
7535	Find the Derivative - d/dx	f(x)=(2x^3-4)^6	$f (x) = {(2 x^{3} - 4)}^{6}$
7536	Find the Derivative - d/dx	f(x)=(3x+1)^2	$f (x) = {(3 x + 1)}^{2}$
7537	Find the Derivative - d/dx	f(x)=(3x-8)^3	$f (x) = {(3 x - 8)}^{3}$
7538	Find the Derivative - d/dx	6cos(2x)	$6 \cos (2 x)$
7539	Find the Derivative - d/dx	6xy^2	$6 x y^{2}$
7540	Find the Derivative - d/dx	60+4x+144/x	$60 + 4 x + \frac{144}{x}$
7541	Find the Derivative - d/dx	5x+4 natural log of 2x	$5 x + 4 \ln (2 x)$
7542	Find the Derivative - d/dx	6e^(-2x)	$6 e^{- 2 x}$
7543	Find the Derivative - d/dx	5 natural log of sin(x)	$5 \ln (\sin (x))$
7544	Find the Derivative - d/dx	6x-2	$6 x - 2$
7545	Find the Derivative - d/dx	6x+5	$6 x + 5$
7546	Find the Derivative - d/dx	6x(x^2-1)^2	$6 x {(x^{2} - 1)}^{2}$
7547	Find the Derivative - d/dx	6x natural log of x	$6 x \ln (x)$
7548	Find the Derivative - d/dx	-7x^3	$- 7 x^{3}$
7549	Find the Derivative - d/dx	7xe^xcsc(x)	$7 x e^{x} \csc (x)$
7550	Find the Derivative - d/dx	8x natural log of 8x	$8 x \ln (8 x)$
7551	Find the Derivative - d/dx	88 square root of x	$88 \sqrt{x}$
7552	Find the Derivative - d/dx	8sin(-0.2x+0.9)+10	$8 \sin (- 0.2 x + 0.9) + 10$
7553	Find the Derivative - d/dx	arccos(4x)	$\arccos (4 x)$
7554	Find the Derivative - d/dx	arccos(x/2)	$\arccos (\frac{x}{2})$
7555	Find the Derivative - d/dx	arcsec( square root of x)	$arcsec (\sqrt{x})$
7556	Find the Derivative - d/dx	arctan(x^2y)	$\arctan (x^{2} y)$
7557	Find the Derivative - d/dx	arctan(7x)	$\arctan (7 x)$
7558	Find the Derivative - d/dx	arccsc(8x)	$arccsc (8 x)$
7559	Find the Derivative - d/dx	9arctan(x- square root of 1+x^2)	$9 \arctan (x - \sqrt{1 + x^{2}})$
7560	Find the Derivative - d/dx	9arctan(x+ square root of 1+x^2)	$9 \arctan (x + \sqrt{1 + x^{2}})$
7561	Find the Derivative - d/dx	9sin(x)	$9 \sin (x)$
7562	Find the Derivative - d/dx	f(x)=(2x-33)(x^2+84)	$f (x) = (2 x - 33) (x^{2} + 84)$
7563	Find the Derivative - d/dx	f(x)=(2x-4)(2x^3-x^2+1)	$f (x) = (2 x - 4) (2 x^{3} - x^{2} + 1)$
7564	Find the Derivative - d/dx	f(x)=x^3-4^(x^2)-16x+[-9,0]	$f (x) = x^{3} - 4^{x^{2}} - 16 x + [- 9, 0]$
7565	Find the Derivative - d/dx	cos(h(2x))	$\cosh (2 x)$
7566	Find the Derivative - d/dx	cos(x)cot(x)	$\cos (x) \cot (x)$
7567	Find the Derivative - d/dx	cos(x)-2tan(x)	$\cos (x) - 2 \tan (x)$
7568	Find the Derivative - d/dx	cos(x)*sin(x)	$\cos (x) \cdot \sin (x)$
7569	Find the Derivative - d/dx	-cos(3x)	$- \cos (3 x)$
7570	Find the Derivative - d/dx	cos(5x^2)	$\cos (5 x^{2})$
7571	Find the Derivative - d/dx	cos(4x-1)	$\cos (4 x - 1)$
7572	Find the Derivative - d/dx	cos(2x^2)	$\cos (2 x^{2})$
7573	Find the Derivative - d/dx	cot(5x)	$\cot (5 x)$
7574	Find the Derivative - d/dx	cot(4x)	$\cot (4 x)$
7575	Find the Derivative - d/dx	cot(x)sin(x)	$\cot (x) \sin (x)$
7576	Find the Derivative - d/dx	cot(h(x))	$\coth (x)$
7577	Find the Derivative - d/dx	ex	$e x$
7578	Find the Derivative - d/dx	f(x)=25-x^2	$f (x) = 25 - x^{2}$
7579	Find the Derivative - d/dx	f(x)=296	$f (x) = 296$
7580	Find the Derivative - d/dx	(e^x)^2	${(e^{x})}^{2}$
7581	Find the Local Maxima and Minima	x+1/x	$x + \frac{1}{x}$
7582	Find the Antiderivative	e^(-3x)	$e^{- 3 x}$
7583	Find the Derivative - d/dx	f(x)=18x^2	$f (x) = 18 x^{2}$
7584	Find the Derivative - d/dx	f(x)=2e^(3x-1)	$f (x) = 2 e^{3 x - 1}$
7585	Find the Derivative - d/dx	f(x)=186.5	$f (x) = 186.5$
7586	Evaluate the Limit	limit as x approaches 16 of (4- square root of x)/(16x-x^2)	$lim_{x \to 16} \frac{(4 - \sqrt{x})}{16 x - x^{2}}$
7587	Find the Derivative - d/dx	f(x)=13	$f (x) = 13$
7588	Find the Derivative - d/dx	f(x)=x^3(3x^2-20)	$f (x) = x^{3} (3 x^{2} - 20)$
7589	Find the Derivative - d/dx	f(x)=x^3(5-3x^2)	$f (x) = x^{3} (5 - 3 x^{2})$
7590	Find the Derivative - d/dx	f(x)=x^3-3/2x^2	$f (x) = x^{3} - \frac{3}{2} x^{2}$
7591	Evaluate the Limit	limit as x approaches 0 of (3sin(4x))/(sin(3x))	$lim_{x \to 0} \frac{3 \sin (4 x)}{\sin (3 x)}$
7592	Find the Derivative - d/dx	f(x)=x^3-9	$f (x) = x^{3} - 9$
7593	Find the Derivative - d/dx	f(x)=x^3-9x^2+24x	$f (x) = x^{3} - 9 x^{2} + 24 x$
7594	Find the Derivative - d/dx	f(x)=x^3-3x+4	$f (x) = x^{3} - 3 x + 4$
7595	Find the Derivative - d/dx	f(x)=x^3-6x^2	$f (x) = x^{3} - 6 x^{2}$
7596	Find the Derivative - d/dx	f(x)=x^3-3	$f (x) = x^{3} - 3$
7597	Find the Derivative - d/dx	f(x)=(x+5)/(x-5)	$f (x) = \frac{x + 5}{x - 5}$
7598	Find the Derivative - d/dx	f(x)=xe^(-2x)	$f (x) = x e^{- 2 x}$
7599	Find the Derivative - d/dx	f(x)=x^8e^(6x)	$f (x) = x^{8} e^{6 x}$
7600	Find the Derivative - d/dx	f(x)=x^4 natural log of x	$f (x) = x^{4} \ln (x)$