Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40101	Find the Local Maxima and Minima	f(x)=arcsin(x)-2x	$f (x) = \arcsin (x) - 2 x$
40102	Find the Local Maxima and Minima	f(x)=arctan(x^5)	$f (x) = \arctan (x^{5})$
40103	Find the Local Maxima and Minima	f(x)=arctan(x^6)	$f (x) = \arctan (x^{6})$
40104	Find the Local Maxima and Minima	f(x)=arctan(x)	$f (x) = \arctan (x)$
40105	Find the Local Maxima and Minima	f(x)=arctan(x)-arctan(x-5)	$f (x) = \arctan (x) - \arctan (x - 5)$
40106	Find the Local Maxima and Minima	f(x)=ax+b/x	$f (x) = a x + \frac{b}{x}$
40107	Find the Local Maxima and Minima	f(x)=ax-3x natural log of x	$f (x) = a x - 3 x \ln (x)$
40108	Find the Local Maxima and Minima	f(x)=arccos(s)(x)-3	$f (x) = \arccos (s) (x) - 3$
40109	Find the Local Maxima and Minima	f(x)=arcsec(2x)	$f (x) = arcsec (2 x)$
40110	Find the Local Maxima and Minima	f(x)=arcsec(x)-2x	$f (x) = arcsec (x) - 2 x$
40111	Find the Local Maxima and Minima	f(x)=9te(-6t)	$f (x) = 9 t e (- 6 t)$
40112	Find the Local Maxima and Minima	f(x)=9x-x^2	$f (x) = 9 x - x^{2}$
40113	Find the Local Maxima and Minima	f(x)=9sec(x)	$f (x) = 9 \sec (x)$
40114	Find the Local Maxima and Minima	f(x)=9sin(3x)	$f (x) = 9 \sin (3 x)$
40115	Find the Derivative - d/dx	5e^(-2x)	$5 e^{- 2 x}$
40116	Find the Derivative - d/dx	xe^(-1/x)	$x e^{- \frac{1}{x}}$
40117	Find the Derivative - d/dx	square root of 4x-5	$\sqrt{4 x - 5}$
40118	Find the Local Maxima and Minima	f(x) = natural log of -x^3+3x^2+105x+1	$f (x) = \ln (- x^{3} + 3 x^{2} + 105 x + 1)$
40119	Find the Local Maxima and Minima	f(x)=-cos(2x)+sin(2x)	$f (x) = - \cos (2 x) + \sin (2 x)$
40120	Find the Derivative - d/dx	square root of 7x+1	$\sqrt{7 x + 1}$
40121	Find the Derivative - d/d@VAR	f(x)=x-2/(x^2+3x-4)	$f (x) = x - \frac{2}{x^{2} + 3 x - 4}$
40122	Find the Derivative - d/d@VAR	f(x)=x-2/3	$f (x) = x - \frac{2}{3}$
40123	Find the Derivative - d/d@VAR	f(x)=x-32/(x^2)	$f (x) = x - \frac{32}{x^{2}}$
40124	Find the Derivative - d/d@VAR	f(x)=x-4/( fourth root of x^3)	$f (x) = x - \frac{4}{\sqrt[4]{x^{3}}}$
40125	Find the Derivative - d/d@VAR	f(x)=x-54/x	$f (x) = x - \frac{54}{x}$
40126	Find the Derivative - d/d@VAR	f(x)=x-6/x	$f (x) = x - \frac{6}{x}$
40127	Find the Derivative - d/d@VAR	f(x)=(x( natural log of x))/6	$f (x) = \frac{x (\ln (x))}{6}$
40128	Find the Derivative - d/d@VAR	f(x)=x natural log of (x)^3	$f (x) = x \ln ({(x)}^{3})$
40129	Find the Derivative - d/d@VAR	f(x)=x log base 2 of x	$f (x) = x \log_{2} (x)$
40130	Find the Derivative - d/d@VAR	f(x)=x square root of 1+3e^x	$f (x) = x \sqrt{1 + 3 e^{x}}$
40131	Find the Derivative - d/d@VAR	f(x)=x square root of 100-x^2	$f (x) = x \sqrt{100 - x^{2}}$
40132	Find the Derivative - d/d@VAR	f(x)=x square root of 12x+5	$f (x) = x \sqrt{12 x + 5}$
40133	Find the Derivative - d/d@VAR	f(x)=x square root of 15-x	$f (x) = x \sqrt{15 - x}$
40134	Find the Derivative - d/d@VAR	f(x)=x square root of 2x-1	$f (x) = x \sqrt{2 x - 1}$
40135	Find the Derivative - d/d@VAR	f(x)=x square root of 324-x^2	$f (x) = x \sqrt{324 - x^{2}}$
40136	Find the Derivative - d/d@VAR	f(x)=x square root of 5-3x	$f (x) = x \sqrt{5 - 3 x}$
40137	Find the Derivative - d/d@VAR	f(x)=x square root of x-x^8	$f (x) = x \sqrt{x - x^{8}}$
40138	Find the Derivative - d/d@VAR	f(x)=x square root of x+12	$f (x) = x \sqrt{x + 12}$
40139	Find the Derivative - d/d@VAR	F(X)=X square root of 9-X^2	$F (X) = X \sqrt{9 - X^{2}}$
40140	Find the Derivative - d/d@VAR	f(x)=x square root of 6x+5	$f (x) = x \sqrt{6 x + 5}$
40141	Find the Derivative - d/d@VAR	f(x)=x square root of 7-x	$f (x) = x \sqrt{7 - x}$
40142	Find the Derivative - d/d@VAR	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
40143	Find the Derivative - d/d@VAR	f(x)=x square root of x-7	$f (x) = x \sqrt{x - 7}$
40144	Find the Derivative - d/d@VAR	f(x)=x+10/x	$f (x) = x + \frac{10}{x}$
40145	Find the Derivative - d/d@VAR	f(x)=x+108/(x^2)	$f (x) = x + \frac{108}{x^{2}}$
40146	Find the Derivative - d/d@VAR	f(x)=x+32/(x^2)	$f (x) = x + \frac{32}{x^{2}}$
40147	Find the Derivative - d/d@VAR	f(x)=x+36/x	$f (x) = x + \frac{36}{x}$
40148	Find the Derivative - d/d@VAR	f(x)=x+64/x	$f (x) = x + \frac{64}{x}$
40149	Find the Derivative - d/d@VAR	f(x)=-x+7/x+1	$f (x) = - x + \frac{7}{x} + 1$
40150	Find the Derivative - d/d@VAR	f(x)=x(3x^2-9)	$f (x) = x (3 x^{2} - 9)$
40151	Find the Derivative - d/d@VAR	f(x)=x(50-0.1 square root of x)-(35x+500)	$f (x) = x (50 - 0.1 \sqrt{x}) - (35 x + 500)$
40152	Find the Derivative - d/d@VAR	f(x) = square root of x+1	$f (x) = \sqrt{x + 1}$
40153	Find the Derivative - d/d@VAR	f(x)=x(px)	$f (x) = x (p x)$
40154	Find the Derivative - d/d@VAR	f(x)=x(x-2)(x-3)	$f (x) = x (x - 2) (x - 3)$
40155	Find the Derivative - d/d@VAR	f(x)=x*(7-3x)^(-1/2)	$f (x) = x \cdot {(7 - 3 x)}^{- \frac{1}{2}}$
40156	Find the Derivative - d/d@VAR	f(x)=x*\|x-1\|+x+1	$f (x) = x \cdot \| x - 1 \| + x + 1$
40157	Find the Derivative - d/d@VAR	f(x)=x*cos(2x+pi)	$f (x) = x \cdot \cos (2 x + π)$
40158	Find the Derivative - d/d@VAR	f(x)=x*sin(x)	$f (x) = x \cdot \sin (x)$
40159	Find the Derivative - d/d@VAR	f(x)=ae^(-y/0.00234)	$f (x) = a e^{- \frac{y}{0.00234}}$
40160	Find the Derivative - d/d@VAR	f(x)=ae^(-y/b)	$f (x) = a e^{- \frac{y}{b}}$
40161	Find the Derivative - d/d@VAR	f(x)=x( square root of 16-x^2)	$f (x) = x (\sqrt{16 - x^{2}})$
40162	Find the Derivative - d/d@VAR	f(x)=x-x^2	$f (x) = x - x^{2}$
40163	Find the Derivative - d/d@VAR	f(x)=x(x^2-5)^(1/5)	$f (x) = x {(x^{2} - 5)}^{\frac{1}{5}}$
40164	Find the Derivative - d/d@VAR	f(x)=x+(32/(x^2))	$f (x) = x + (\frac{32}{x^{2}})$
40165	Find the Derivative - d/d@VAR	f(x)=x natural log of x-x	$f (x) = x \ln (x - x)$
40166	Find the Derivative - d/d@VAR	f(x)=x(e^x)	$f (x) = x (e^{x})$
40167	Find the Derivative - d/d@VAR	f(x)=x(x^2-4x+5)^4	$f (x) = x {(x^{2} - 4 x + 5)}^{4}$
40168	Find the Derivative - d/d@VAR	f(x)=x(1-x)^4	$f (x) = x {(1 - x)}^{4}$
40169	Find the Derivative - d/d@VAR	f(x)=x(2x-10)^5	$f (x) = x {(2 x - 10)}^{5}$
40170	Find the Derivative - d/d@VAR	f(x)=x(200-(x/30))-(61000+80x)	$f (x) = x (200 - (\frac{x}{30})) - (61000 + 80 x)$
40171	Find the Derivative - d/d@VAR	f(x)=x(200-2x)	$f (x) = x (200 - 2 x)$
40172	Find the Derivative - d/d@VAR	f(x)=x(22-0.06x)	$f (x) = x (22 - 0.06 x)$
40173	Find the Derivative - d/d@VAR	f(x)=x(2-3x)	$f (x) = x (2 - 3 x)$
40174	Find the Derivative - d/d@VAR	f(x)=x(x^8)( square root of x)(x^(7/8))	$f (x) = x (x^{8}) (\sqrt{x}) (x^{\frac{7}{8}})$
40175	Find the Derivative - d/d@VAR	f(x)=x(1-4/(x+3))	$f (x) = x (1 - \frac{4}{x + 3})$
40176	Find the Derivative - d/d@VAR	f(x)=x(100-x)	$f (x) = x (100 - x)$
40177	Find the Derivative - d/d@VAR	f(x)=x(10-2x)(20-2x)	$f (x) = x (10 - 2 x) (20 - 2 x)$
40178	Find the Derivative - d/d@VAR	f(x)=x(10-x)	$f (x) = x (10 - x)$
40179	Find the Derivative - d/d@VAR	f(x)=x(4x-12)^3	$f (x) = x {(4 x - 12)}^{3}$
40180	Find the Derivative - d/d@VAR	f(x)=x(4x-2)^(1/3)	$f (x) = x {(4 x - 2)}^{\frac{1}{3}}$
40181	Find the Derivative - d/d@VAR	f(x)=x(7x-40)^20	$f (x) = x {(7 x - 40)}^{20}$
40182	Find the Derivative - d/d@VAR	f(x)=x(9-x^2)^(1/2)	$f (x) = x {(9 - x^{2})}^{\frac{1}{2}}$
40183	Find the Derivative - d/d@VAR	f(x)=x(2800-2x)	$f (x) = x (2800 - 2 x)$
40184	Find the Derivative - d/d@VAR	f(x)=x(x-4)^3+3	$f (x) = x {(x - 4)}^{3} + 3$
40185	Find the Derivative - d/d@VAR	f(x)=xyex	$f (x) =$ xyex
40186	Find the Derivative - d/d@VAR	f(x)=y-cos(xy^2)^2	$f (x) = y - \cos^{2} (x y^{2})$
40187	Find the Derivative - d/d@VAR	f(x)=y square root of y	$f (x) = y \sqrt{y}$
40188	Find the Derivative - d/d@VAR	f(x)=y-6y^3	$f (x) = y - 6 y^{3}$
40189	Find the Derivative - d/d@VAR	f(x)=y natural log of xy	$f (x) = y \ln (x y)$
40190	Find the Derivative - d/d@VAR	f(x)=y natural log of xy+1	$f (x) = y \ln (x y) + 1$
40191	Find the Derivative - d/d@VAR	f(x)=z+1	$f (x) = z + 1$
40192	Find the Derivative - d/d@VAR	F(y)=1/(y^2)-5/(y^4)*(y+9y^3)	$F (y) = \frac{1}{y^{2}} - \frac{5}{y^{4}} \cdot (y + 9 y^{3})$
40193	Find the Derivative - d/d@VAR	f(y) = square root of 4x^(3-1)(8x+2)^3	$f (y) = \sqrt{4 x^{3 - 1}} {(8 x + 2)}^{3}$
40194	Find the Derivative - d/d@VAR	f(y)=y/(x^2+y^2)	$f (y) = \frac{y}{x^{2} + y^{2}}$
40195	Find the Derivative - d/d@VAR	f(y)=-12y^2z^2	$f (y) = - 12 y^{2} z^{2}$
40196	Find the Derivative - d/d@VAR	f(y)=(1/(y^2)-3/(y^4))(y+9y^3)	$f (y) = (\frac{1}{y^{2}} - \frac{3}{y^{4}}) (y + 9 y^{3})$
40197	Find the Derivative - d/d@VAR	f(y)=(1/(y^2)-7/(y^4))(y+5y^3)	$f (y) = (\frac{1}{y^{2}} - \frac{7}{y^{4}}) (y + 5 y^{3})$
40198	Find the Derivative - d/d@VAR	f(y)=(1/(y^2)-9/(y^4))(y+7y^3)	$f (y) = (\frac{1}{y^{2}} - \frac{9}{y^{4}}) (y + 7 y^{3})$
40199	Find the Derivative - d/d@VAR	f(y)=( square root of y-4)	$f (y) = (\sqrt{y} - 4)$
40200	Find the Derivative - d/d@VAR	f(y)=(2py-3)(2py+5)	$f (y) = (2 p y - 3) (2 p y + 5)$