Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40201	Find the Derivative - d/d@VAR	f(y)=(x-1) square root of x^2-2x+2	$f (y) = (x - 1) \sqrt{x^{2} - 2 x + 2}$
40202	Find the Derivative - d/d@VAR	f(y)=(12y)/(1-5y)	$f (y) = \frac{12 y}{1 - 5 y}$
40203	Find the Derivative - d/d@VAR	f(y)=(4x)/(5y)	$f (y) = \frac{4 x}{5 y}$
40204	Find the Derivative - d/d@VAR	f(y)=(y+2)e^(x(y+2))	$f (y) = (y + 2) e^{x (y + 2)}$
40205	Find the Derivative - d/d@VAR	f(y)=((x-2)^3)/(x^2)	$f (y) = \frac{{(x - 2)}^{3}}{x^{2}}$
40206	Find the Derivative - d/d@VAR	f(y)=1/2x+1/4*sin(2x)-ysin(x)	$f (y) = \frac{1}{2} x + \frac{1}{4} \cdot \sin (2 x) - y \sin (x)$
40207	Find the Derivative - d/d@VAR	f(y)=(3y)/(1-5y)	$f (y) = \frac{3 y}{1 - 5 y}$
40208	Find the Derivative - d/d@VAR	f(y)=b/(a+y^3)	$f (y) = \frac{b}{a + y^{3}}$
40209	Find the Derivative - d/d@VAR	f(y)=e^(xy^2)	$f (y) = e^{x y^{2}}$
40210	Find the Derivative - d/d@VAR	f(y)=arctan(7y^2+3)	$f (y) = \arctan (7 y^{2} + 3)$
40211	Find the Derivative - d/d@VAR	f(y)=x^2*cos(y)	$f (y) = x^{2} \cdot \cos (y)$
40212	Find the Derivative - d/d@VAR	f(y)=x^4-x^3y+x^2y^2-xy^3+y^4	$f (y) = x^{4} - x^{3} y + x^{2} y^{2} - x y^{3} + y^{4}$
40213	Find the Derivative - d/d@VAR	f(y)=x^e+3e^x	$f (y) = x^{e} + 3 e^{x}$
40214	Find the Derivative - d/d@VAR	f(y)=xe^(xy^2)	$f (y) = x e^{x y^{2}}$
40215	Find the Derivative - d/d@VAR	f(y)=y/(1+ natural log of y)	$f (y) = \frac{y}{1 + \ln (y)}$
40216	Find the Derivative - d/d@VAR	f(y)=y^2+z^2+x^2y+x+yz	$f (y) = y^{2} + z^{2} + x^{2} y + x + y z$
40217	Find the Derivative - d/d@VAR	f(y)=3x^2sin(x)	$f (y) = 3 x^{2} \sin (x)$
40218	Find the Derivative - d/d@VAR	f(y)=30x^(2/3)y^(1/3)	$f (y) = 30 x^{\frac{2}{3}} y^{\frac{1}{3}}$
40219	Find the Derivative - d/d@VAR	f(y)=4x natural log of xy	$f (y) = 4 x \ln (x y)$
40220	Find the Derivative - d/d@VAR	f(y)=5(y)-6	$f (y) = 5 (y) - 6$
40221	Find the Derivative - d/d@VAR	f(y)=7cot(nx)	$f (y) = 7 \cot (n x)$
40222	Find the Derivative - d/d@VAR	f(y)=8xy-p(5x+12y-9)	$f (y) = 8 x y - p (5 x + 12 y - 9)$
40223	Find the Derivative - d/d@VAR	f(y)=arcsin(y^5)	$f (y) = \arcsin (y^{5})$
40224	Find the Derivative - d/d@VAR	f(y) = natural log of x^4y^8	$f (y) = \ln (x^{4} y^{8})$
40225	Find the Derivative - d/d@VAR	f(y) = natural log of sin(5y)	$f (y) = \ln (\sin (5 y))$
40226	Find the Derivative - d/d@VAR	f(y)=y natural log of 1+e^y	$f (y) = y \ln (1 + e^{y})$
40227	Find the Derivative - d/d@VAR	f(y)=y natural log of 11x+5y	$f (y) = y \ln (11 x + 5 y)$
40228	Find the Derivative - d/d@VAR	f(z)=3xy^4+ natural log of 4xz^2-6xyz^2+6yz	$f (z) = 3 x y^{4} + \ln (4 x z^{2}) - 6 x y z^{2} + 6 y z$
40229	Find the Derivative - d/d@VAR	f(z)=(z^14+z^7+1)(z^8-z)	$f (z) = (z^{14} + z^{7} + 1) (z^{8} - z)$
40230	Find the Derivative - d/d@VAR	f(z)=(1+(x^2-1)^3)^(3/2)	$f (z) = {(1 + {(x^{2} - 1)}^{3})}^{\frac{3}{2}}$
40231	Find the Derivative - d/d@VAR	f(z)=(2z+e^(-z^2))^4	$f (z) = {(2 z + e^{- z^{2}})}^{4}$
40232	Find the Derivative - d/d@VAR	f(z)=(6z+e^(z^2))^6	$f (z) = {(6 z + e^{z^{2}})}^{6}$
40233	Find the Derivative - d/d@VAR	f(z)=(8z+e^(-z^2))^4	$f (z) = {(8 z + e^{- z^{2}})}^{4}$
40234	Find the Derivative - d/d@VAR	f(z)=(e^z)/(z^2-1)	$f (z) = \frac{e^{z}}{z^{2} - 1}$
40235	Find the Derivative - d/d@VAR	f(z)=-1/(z^6.1)	$f (z) = - \frac{1}{z^{6.1}}$
40236	Find the Derivative - d/d@VAR	f(z)=(2cos(z))/(z+1)	$f (z) = \frac{2 \cos (z)}{z + 1}$
40237	Find the Derivative - d/d@VAR	f(z)=e^(5z)	$f (z) = e^{5 z}$
40238	Find the Derivative - d/d@VAR	f(z)=( natural log of z)/z	$f (z) = \frac{\ln (z)}{z}$
40239	Find the Derivative - d/d@VAR	f(z) = square root of (z-1)/(z+1)	$f (z) = \sqrt{\frac{z - 1}{z + 1}}$
40240	Find the Derivative - d/d@VAR	f(z) = square root of sin(z)	$f (z) = \sqrt{\sin (z)}$
40241	Find the Derivative - d/d@VAR	f(z)=z^2(z+4)-(2z)/(z^2+1)	$f (z) = z^{2} (z + 4) - \frac{2 z}{z^{2} + 1}$
40242	Find the Derivative - d/d@VAR	f(z)=z^2 cube root of 2z-5	$f (z) = z^{2} \sqrt[3]{2 z - 5}$
40243	Find the Derivative - d/d@VAR	f(z)=z^-4	$f (z) = z^{- 4}$
40244	Find the Derivative - d/d@VAR	f(z)=2y natural log of z^3	$f (z) = 2 y \ln (z^{3})$
40245	Find the Derivative - d/d@VAR	f(z)=sec(z+ natural log of z)	$f (z) = \sec (z + \ln (z))$
40246	Find the Derivative - d/d@VAR	f(x) = fifth root of x	$f (x) = \sqrt[5]{x}$
40247	Find the Derivative - d/d@VAR	f(x)=x-2sin(x)	$f (x) = x - 2 \sin (x)$
40248	Find the Derivative - d/d@VAR	f(x)=x-3x^(2/3)	$f (x) = x - 3 x^{\frac{2}{3}}$
40249	Find the Derivative - d/d@VAR	f(x)=x-3x-4/(x-4)	$f (x) = x - 3 x - \frac{4}{x - 4}$
40250	Find the Derivative - d/d@VAR	f(x)=x-4cos(x)^2+1	$f (x) = x - 4 \cos^{2} (x) + 1$
40251	Find the Derivative - d/d@VAR	f(x)=x-4y	$f (x) = x - 4 y$
40252	Find the Derivative - d/d@VAR	f(x)=x-9x^(1/3)	$f (x) = x - 9 x^{\frac{1}{3}}$
40253	Find the Derivative - d/d@VAR	f(x)=xcos(2y)	$f (x) = x \cos (2 y)$
40254	Find the Derivative - d/d@VAR	f(x)=xcos(3x)	$f (x) = x \cos (3 x)$
40255	Find the Derivative - d/d@VAR	f(x)=-x+2cos(x)	$f (x) = - x + 2 \cos (x)$
40256	Find the Derivative - d/d@VAR	f(x)=x natural log of x^2	$f (x) = x \ln (x^{2})$
40257	Find the Derivative - d/d@VAR	f(x)=x+tan(xy)	$f (x) = x + \tan (x y)$
40258	Find the Derivative - d/d@VAR	f(x)=2x	$f (x) = 2 x$
40259	Find the Derivative - d/d@VAR	f(x)=xcos(x)+x^2+6	$f (x) = x \cos (x) + x^{2} + 6$
40260	Find the Derivative - d/d@VAR	f(x)=x+csc(x)	$f (x) = x + \csc (x)$
40261	Find the Derivative - d/d@VAR	f(x)=x+h	$f (x) = x + h$
40262	Find the Derivative - d/d@VAR	f(x)=x+5 natural log of 6	$f (x) = x + 5 \ln (6)$
40263	Find the Derivative - d/d@VAR	f(x)=x+5 natural log of 6x	$f (x) = x + 5 \ln (6 x)$
40264	Find the Derivative - d/d@VAR	f(x)=x+6	$f (x) = x + 6$
40265	Find the Derivative - d/d@VAR	f(x)=x+65	$f (x) = x + 65$
40266	Find the Derivative - d/d@VAR	f(x)=x+ square root of 2x- cube root of 3x+3/(x^4)	$f (x) = x + \sqrt{2 x} - \sqrt[3]{3 x} + \frac{3}{x^{4}}$
40267	Find the Derivative - d/d@VAR	f(x)=x+ square root of 3	$f (x) = x + \sqrt{3}$
40268	Find the Derivative - d/d@VAR	f(x)=x+ square root of 4-x	$f (x) = x + \sqrt{4 - x}$
40269	Find the Derivative - d/d@VAR	f(x)=x+e^(-3x)	$f (x) = x + e^{- 3 x}$
40270	Find the Derivative - d/d@VAR	f(x) = log of x^2-1/x	$f (x) = \log (x^{2} - \frac{1}{x})$
40271	Find the Derivative - d/d@VAR	f(x) = log of x^3+1	$f (x) = \log (x^{3} + 1)$
40272	Find the Derivative - d/d@VAR	f(x) = log of x^9+7	$f (x) = \log (x^{9}) + 7$
40273	Find the Derivative - d/d@VAR	f(x) = log of 1 square root of x	$f (x) = \log (1 \sqrt{x})$
40274	Find the Derivative - d/d@VAR	f(x) = log of 10(x^3+1)	$f (x) = \log (10) (x^{3} + 1)$
40275	Find the Derivative - d/d@VAR	f(x) = log of 1000	$f (x) = \log (1000)$
40276	Find the Derivative - d/d@VAR	f(x) = log of 2(8x)	$f (x) = \log (2) (8 x)$
40277	Find the Derivative - d/d@VAR	f(x) = log of 22	$f (x) = \log (22)$
40278	Find the Derivative - d/d@VAR	f(x) = log of 2x	$f (x) = \log (2 x)$
40279	Find the Derivative - d/d@VAR	f(x) = log of 3(1/3)	$f (x) = \log (3) (\frac{1}{3})$
40280	Find the Derivative - d/d@VAR	f(x) = log of 3(x/9)	$f (x) = \log (3) (\frac{x}{9})$
40281	Find the Derivative - d/d@VAR	f(x) = log of 3x^3-x^2+1	$f (x) = \log (3 x^{3} - x^{2} + 1)$
40282	Find the Derivative - d/d@VAR	f(x) = log of 3-5x	$f (x) = \log (3 - 5 x)$
40283	Find the Derivative - d/d@VAR	f(x) = log of 4x	$f (x) = \log (4) x$
40284	Find the Derivative - d/d@VAR	f(x) = log of 6x	$f (x) = \log (6) x$
40285	Find the Derivative - d/d@VAR	f(x) = log of 7x	$f (x) = \log (7 x)$
40286	Find the Derivative - d/d@VAR	f(x) = log of au	$f (x) = \log (a) u$
40287	Find the Derivative - d/d@VAR	f(x) = log of arcsec( square root of x)	$f (x) = \log (arcsec (\sqrt{x}))$
40288	Find the Derivative - d/d@VAR	f(x) = log of au	$f (x) = \log (a u)$
40289	Find the Derivative - d/d@VAR	f(x) = log of ex+sin(x)	$f (x) = \log (e x + \sin (x))$
40290	Find the Derivative - d/d@VAR	f(x) = log of natural log of x	$f (x) = \log (\ln (x))$
40291	Find the Derivative - d/d@VAR	f(x) = log of log of x^2-3	$f (x) = \log (\log (x^{2} - 3))$
40292	Find the Derivative - d/d@VAR	f(x) = log of sin(3x^2)	$f (x) = \log (\sin (3 x^{2}))$
40293	Find the Derivative - d/d@VAR	f(x) = log of tan(4x)+ log of sec(x^2)	$f (x) = \log (\tan (4 x)) + \log (\sec (x^{2}))$
40294	Find the Derivative - d/d@VAR	f(x) = natural log of x+ square root of x^2-7	$f (x) = \ln (x + \sqrt{x^{2} - 7})$
40295	Find the Derivative - d/d@VAR	f(x) = natural log of x+ square root of 4+x^2	$f (x) = \ln (x + \sqrt{4 + x^{2}})$
40296	Find the Derivative - d/d@VAR	f(x) = natural log of x+4+(e^(-3x))	$f (x) = \ln (x + 4 + (e^{- 3 x}))$
40297	Find the Derivative - d/d@VAR	f(x) = natural log of x+5+ natural log of 2x-1+ natural log of 4-x	$f (x) = \ln (x + 5) + \ln (2 x - 1) + \ln (4 - x)$
40298	Find the Derivative - d/d@VAR	f(x) = natural log of square root of (a^2-x^2)/(a^2+x^2)	$f (x) = \ln (\sqrt{\frac{a^{2} - x^{2}}{a^{2} + x^{2}}})$
40299	Find the Derivative - d/d@VAR	f(x) = log of 1/(sin(4x))	$f (x) = \log (\frac{1}{\sin (4 x)})$
40300	Find the Derivative - d/d@VAR	f(x) = log of -3/2*cos(3x^2)	$f (x) = \log (- \frac{3}{2} \cdot \cos (3 x^{2}))$