Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22101	Find the Derivative - d/d@VAR	F(x)=4x-1	$F (x) = 4 x - 1$
22102	Find the Derivative - d/d@VAR	f(x)=4x-2	$f (x) = 4 x - 2$
22103	Find the Derivative - d/d@VAR	f(x)=4x^2-3x+5	$f (x) = 4 x^{2} - 3 x + 5$
22104	Find the Derivative - d/d@VAR	f(x)=4x^2+3 square root of x+6/( square root of x)	$f (x) = 4 x^{2} + 3 \sqrt{x} + \frac{6}{\sqrt{x}}$
22105	Find the Derivative - d/d@VAR	f(x)=-4e^(7x)	$f (x) = - 4 e^{7 x}$
22106	Find the Derivative - d/d@VAR	f(x)=3x^( natural log of x)	$f (x) = 3 x^{\ln (x)}$
22107	Find the Derivative - d/d@VAR	f(x)=4 cube root of x-3/(4x^6)	$f (x) = 4 \sqrt[3]{x} - \frac{3}{4 x^{6}}$
22108	Find the Derivative - d/d@VAR	f(x)=4x^3-3x^2+2x-p	$f (x) = 4 x^{3} - 3 x^{2} + 2 x - p$
22109	Find the Derivative - d/d@VAR	f(x)=4x^3-16x	$f (x) = 4 x^{3} - 16 x$
22110	Find the Derivative - d/d@VAR	f(x)=4x^3sin(x)	$f (x) = 4 x^{3} \sin (x)$
22111	Find the Derivative - d/d@VAR	f(x)=4-\|x\|	$f (x) = 4 - \| x \|$
22112	Find the Derivative - d/d@VAR	f(x)=4sin( square root of x)^5	$f (x) = 4 \sin^{5} (\sqrt{x})$
22113	Find the Derivative - d/d@VAR	f(x)=-3cos(5x^3+7x)	$f (x) = - 3 \cos (5 x^{3} + 7 x)$
22114	Find the Derivative - d/d@VAR	f(x)=365	$f (x) = 365$
22115	Find the Derivative - d/d@VAR	f(x)=3sin(x^2)-2cos(3x)	$f (x) = 3 \sin (x^{2}) - 2 \cos (3 x)$
22116	Find the Derivative - d/d@VAR	f(x)=3sin(2x)	$f (x) = 3 \sin (2 x)$
22117	Find the Derivative - d/d@VAR	f(x)=3sin(4x)	$f (x) = 3 \sin (4 x)$
22118	Find the Derivative - d/d@VAR	f(x)=3x^3+2x^2+6x	$f (x) = 3 x^{3} + 2 x^{2} + 6 x$
22119	Find the Derivative - d/d@VAR	f(x)=3x^4 natural log of x	$f (x) = 3 x^{4} \ln (x)$
22120	Find the Derivative - d/d@VAR	G(y)=((y-2)^5)/((y^2+4y)^9)	$G (y) = \frac{{(y - 2)}^{5}}{{(y^{2} + 4 y)}^{9}}$
22121	Find the Derivative - d/d@VAR	h(t)=t^2(3t+4)^3	$h (t) = t^{2} {(3 t + 4)}^{3}$
22122	Find the Derivative - d/d@VAR	h(x)=(x^4-1)^3	$h (x) = {(x^{4} - 1)}^{3}$
22123	Find the Derivative - d/d@VAR	h(x)=(3x^2-8x-3)/(4x^2-6x+6)	$h (x) = \frac{3 x^{2} - 8 x - 3}{4 x^{2} - 6 x + 6}$
22124	Find the Derivative - d/d@VAR	h(x)=sin(x)^2	$h (x) = \sin^{2} (x)$
22125	Find the Derivative - d/d@VAR	h(x)=4-4x^3	$h (x) = 4 - 4 x^{3}$
22126	Find the Derivative - d/d@VAR	h(t)=3 square root of 2	$h (t) = 3 \sqrt{2}$
22127	Find the Derivative - d/d@VAR	H(u)=(u- square root of u)(u+ square root of u)	$H (u) = (u - \sqrt{u}) (u + \sqrt{u})$
22128	Find the Derivative - d/d@VAR	p(x)=156-x/10	$p (x) = 156 - \frac{x}{10}$
22129	Find the Derivative - d/d@VAR	r(a)=(3a+1)^2	$r (a) = {(3 a + 1)}^{2}$
22130	Find the Derivative - d/d@VAR	G(x)=9x^5(x^4-9)	$G (x) = 9 x^{5} (x^{4} - 9)$
22131	Find the Derivative - d/d@VAR	g(x)=4x^3	$g (x) = 4 x^{3}$
22132	Find the Derivative - d/d@VAR	g(x)=4(3-7x)^3	$g (x) = 4 {(3 - 7 x)}^{3}$
22133	Find the Derivative - d/d@VAR	g(x) = log base 5 of x	$g (x) = \log_{5} (x)$
22134	Find the Derivative - d/d@VAR	g(x)=(x-2)^3	$g (x) = {(x - 2)}^{3}$
22135	Find the Derivative - d/d@VAR	g(x)=((3x^2-1)/(2x+5))^3	$g (x) = {(\frac{3 x^{2} - 1}{2 x + 5})}^{3}$
22136	Find the Derivative - d/d@VAR	g(x)=e^x natural log of x^3	$g (x) = e^{x} \ln (x^{3})$
22137	Find the Derivative - d/d@VAR	g(x)=(x^2)/(x-11)	$g (x) = \frac{x^{2}}{x - 11}$
22138	Find the Derivative - d/d@VAR	g(x)=(33x+31)^(4/3) natural log of x	$g (x) = {(33 x + 31)}^{\frac{4}{3}} \ln (x)$
22139	Find the Derivative - d/d@VAR	g(x)=cos( natural log of 1/x)^2+1/(2^((cos( square root of x))*2))	$g (x) = \cos^{2} (\ln (\frac{1}{x})) + \frac{1}{2^{(\cos (\sqrt{x})) \cdot 2}}$
22140	Find the Derivative - d/d@VAR	g(x)=(2-x)tan(x)^2	$g (x) = (2 - x) \tan^{2} (x)$
22141	Find the Derivative - d/d@VAR	g(u) = square root of 5u+ square root of 3u	$g (u) = \sqrt{5} u + \sqrt{3 u}$
22142	Find the Derivative - d/d@VAR	g(t)=t/(3-t)+5t^3	$g (t) = \frac{t}{3 - t} + 5 t^{3}$
22143	Find the Derivative - d/d@VAR	g(t)=5/(t^3)	$g (t) = \frac{5}{t^{3}}$
22144	Find the Derivative - d/d@VAR	g(t)=2/(t^3)	$g (t) = \frac{2}{t^{3}}$
22145	Find the Derivative - d/d@VAR	g(t)=2/(3t^2)	$g (t) = \frac{2}{3 t^{2}}$
22146	Find the Derivative - d/d@VAR	g(t)=(t^2)/(t-1)	$g (t) = \frac{t^{2}}{t - 1}$
22147	Find the Derivative - d/d@VAR	g(t)=0.00331/(0.00331+0.99669e^(-3.8t))	$g (t) = \frac{0.00331}{0.00331 + 0.99669 e^{- 3.8 t}}$
22148	Find the Derivative - d/d@VAR	g(x)=cos(6x)^8	$g (x) = \cos^{8} (6 x)$
22149	Find the Derivative - d/d@VAR	f(x) = natural log of 3x^2-2x+1	$f (x) = \ln (3 x^{2} - 2 x + 1)$
22150	Find the Derivative - d/d@VAR	f(x) = natural log of 3x^4	$f (x) = \ln (3 x^{4})$
22151	Find the Derivative - d/d@VAR	f(x) = natural log of 6x^2-8x+1	$f (x) = \ln (6 x^{2} - 8 x + 1)$
22152	Find the Derivative - d/d@VAR	f(x) = natural log of 7x^2-3x+4	$f (x) = \ln (7 x^{2} - 3 x + 4)$
22153	Find the Derivative - d/d@VAR	f(x) = natural log of 5-x	$f (x) = \ln (5 - x)$
22154	Find the Derivative - d/d@VAR	f(x) = natural log of 5x^2-4x+1	$f (x) = \ln (5 x^{2} - 4 x + 1)$
22155	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of 3x	$f (x) = \ln (\ln (3 x))$
22156	Find the Derivative - d/d@VAR	f(x) = natural log of 1+e^x	$f (x) = \ln (1 + e^{x})$
22157	Find the Derivative - d/d@VAR	f(x) = natural log of 16sin(x)^2	$f (x) = \ln (16 \sin^{2} (x))$
22158	Find the Derivative - d/d@VAR	f(x) = natural log of 10x	$f (x) = \ln (10 x)$
22159	Find the Derivative - d/d@VAR	f(x) = natural log of 1-x	$f (x) = \ln (1 - x)$
22160	Find the Derivative - d/d@VAR	f(x) = natural log of 2	$f (x) = \ln (2)$
22161	Find the Derivative - d/d@VAR	f(x) = natural log of 2x^2+1	$f (x) = \ln (2 x^{2} + 1)$
22162	Find the Derivative - d/d@VAR	f(x) = natural log of 2x^3	$f (x) = \ln (2 x^{3})$
22163	Find the Derivative - d/d@VAR	f(x) = natural log of 1-x^2	$f (x) = \ln (1 - x^{2})$
22164	Find the Derivative - d/d@VAR	f(x) = natural log of x^3+5	$f (x) = \ln (x^{3} + 5)$
22165	Find the Derivative - d/d@VAR	f(x)=e square root of x-5	$f (x) = e \sqrt{x - 5}$
22166	Find the Derivative - d/d@VAR	f(x) = natural log of ( square root of x)/(5-x)	$f (x) = \ln (\frac{\sqrt{x}}{5 - x})$
22167	Find the Derivative - d/d@VAR	f(x) = natural log of square root of (x+1)/(x-1)	$f (x) = \ln (\sqrt{\frac{x + 1}{x - 1}})$
22168	Find the Derivative - d/d@VAR	f(x) = natural log of square root of (1+tan(x))/(1-tan(x))	$f (x) = \ln (\sqrt{\frac{1 + \tan (x)}{1 - \tan (x)}})$
22169	Find the Derivative - d/d@VAR	f(x) = natural log of x^13	$f (x) = \ln (x^{13})$
22170	Find the Derivative - d/d@VAR	f(x)=cos(e^x)	$f (x) = \cos (e^{x})$
22171	Find the Derivative - d/d@VAR	f(x)=cos( square root of sin(tan(pix)))	$f (x) = \cos (\sqrt{\sin (\tan (π x))})$
22172	Find the Derivative - d/d@VAR	f(x)=ax+b	$f (x) = a x + b$
22173	Find the Derivative - d/d@VAR	f(x)=c	$f (x) = c$
22174	Find the Derivative - d/d@VAR	f(x)=cos((1-e^(2x))/(1+e^(2x)))	$f (x) = \cos (\frac{1 - e^{2 x}}{1 + e^{2 x}})$
22175	Find the Derivative - d/d@VAR	f(x)=arctan((x+a)/b)	$f (x) = \arctan (\frac{x + a}{b})$
22176	Find the Derivative - d/d@VAR	f(x)=cos(2x)	$f (x) = \cos (2 x)$
22177	Find the Derivative - d/d@VAR	f(x)=cos(5x)	$f (x) = \cos (5 x)$
22178	Find the Derivative - d/d@VAR	f(x)=cos(4x)	$f (x) = \cos (4 x)$
22179	Find the Derivative - d/d@VAR	f(x)=cos(sin(x))	$f (x) = \cos (\sin (x))$
22180	Find the Derivative - d/d@VAR	f(x)=cos(x)-3/(x^3)	$f (x) = \cos (x) - \frac{3}{x^{3}}$
22181	Find the Derivative - d/d@VAR	f(x)=cos(tan(x))	$f (x) = \cos (\tan (x))$
22182	Find the Derivative - d/d@VAR	f(x)=csc(3x)	$f (x) = \csc (3 x)$
22183	Find the Derivative - d/d@VAR	f(x)=csc(x)	$f (x) = \csc (x)$
22184	Find the Derivative - d/d@VAR	f(x)=cos(3x^2+1)	$f (x) = \cos (3 x^{2} + 1)$
22185	Find the Derivative - d/d@VAR	f(x)=csc(x)cot(x)	$f (x) = \csc (x) \cot (x)$
22186	Find the Derivative - d/d@VAR	f(x)=ex	$f (x) = e x$
22187	Find the Derivative - d/d@VAR	f(x)=9x^9-5cos(x)	$f (x) = 9 x^{9} - 5 \cos (x)$
22188	Find the Derivative - d/d@VAR	f(x)=9x^3+18x^2-25x-50	$f (x) = 9 x^{3} + 18 x^{2} - 25 x - 50$
22189	Find the Derivative - d/d@VAR	f(x)=8 log of x	$f (x) = 8 \log (x)$
22190	Find the Derivative - d/d@VAR	f(x)=8x+7 square root of x	$f (x) = 8 x + 7 \sqrt{x}$
22191	Find the Derivative - d/d@VAR	f(x)=9e^x square root of x	$f (x) = 9 e^{x} \sqrt{x}$
22192	Find the Derivative - d/d@VAR	f(x)=9x^(8/3)	$f (x) = 9 x^{\frac{8}{3}}$
22193	Find the Derivative - d/d@VAR	f(x)=arctan(2x)	$f (x) = \arctan (2 x)$
22194	Find the Derivative - d/d@VAR	f(x)=arcsec(2x)	$f (x) = arcsec (2 x)$
22195	Find the Derivative - d/d@VAR	f(x)=arcsec(4x)	$f (x) = arcsec (4 x)$
22196	Find the Derivative - d/d@VAR	f(x)=arcsec(9x)	$f (x) = arcsec (9 x)$
22197	Find the Derivative - d/d@VAR	f(x)=tan(x)*(sin(x)+cos(x))	$f (x) = \tan (x) \cdot (\sin (x) + \cos (x))$
22198	Find the Derivative - d/d@VAR	f(x)=sin(x/2)	$f (x) = \sin (\frac{x}{2})$
22199	Find the Derivative - d/d@VAR	f(x)=tan(3x)	$f (x) = \tan (3 x)$
22200	Find the Derivative - d/d@VAR	f(x)=sin(x+y)-xy	$f (x) = \sin (x + y) - x y$