Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22001	Find the Local Maxima and Minima	f(x)=1/2x-sin(x)	$f (x) = \frac{1}{2} x - \sin (x)$
22002	Find the Local Maxima and Minima	f(x)=1/3x^3+3x^2+8x	$f (x) = \frac{1}{3} x^{3} + 3 x^{2} + 8 x$
22003	Find the Local Maxima and Minima	f(x)=2/3x^3-7x^2+24x-72	$f (x) = \frac{2}{3} x^{3} - 7 x^{2} + 24 x - 72$
22004	Find the Local Maxima and Minima	f(x)=-(15x^2+10x-40)/((x^2+x+3)^2)	$f (x) = - \frac{15 x^{2} + 10 x - 40}{{(x^{2} + x + 3)}^{2}}$
22005	Find the Local Maxima and Minima	f(x)=x/(25+x^2)	$f (x) = \frac{x}{25 + x^{2}}$
22006	Find the Local Maxima and Minima	f(x) = square root of 3x-2sin(x)	$f (x) = \sqrt{3} x - 2 \sin (x)$
22007	Find the Derivative - d/dt	cos(t)	$\cos (t)$
22008	Find the Local Maxima and Minima	F(x) = cube root of x-2	$F (x) = \sqrt[3]{x - 2}$
22009	Find the Local Maxima and Minima	f(x)=e^(9x)	$f (x) = e^{9 x}$
22010	Find the Local Maxima and Minima	f(x)=e^(3x)+e^(-x)	$f (x) = e^{3 x} + e^{- x}$
22011	Find the Local Maxima and Minima	f(x)=e^(6x)+e^(-x)	$f (x) = e^{6 x} + e^{- x}$
22012	Find the Local Maxima and Minima	f(x)=e^x	$f (x) = e^{x}$
22013	Find the Local Maxima and Minima	f(x)=e^(2x)	$f (x) = e^{2 x}$
22014	Find the Derivative - d/d@VAR	f(x)=1/2x^2-3.7x+12	$f (x) = \frac{1}{2} x^{2} - 3.7 x + 12$
22015	Find the Local Maxima and Minima	f(x)=(7x^2+28)/(x^4-16)	$f (x) = \frac{7 x^{2} + 28}{x^{4} - 16}$
22016	Find the Local Maxima and Minima	f(x)=(7x)/(x^2+25)	$f (x) = \frac{7 x}{x^{2} + 25}$
22017	Find the Local Maxima and Minima	f(x)=ax^4+bx^3+cx^2+dx+e	$f (x) = a x^{4} + b x^{3} + c x^{2} + d x + e$
22018	Find the Local Maxima and Minima	f(x)=(9x)/(x^2+25)	$f (x) = \frac{9 x}{x^{2} + 25}$
22019	Find the Local Maxima and Minima	f(x)=9/x+x-3	$f (x) = \frac{9}{x} + x - 3$
22020	Find the Derivative - d/d@VAR	f(x)=(x-7)/(x^2)	$f (x) = \frac{x - 7}{x^{2}}$
22021	Find the Derivative - d/d@VAR	f(x)=(x+5)/(x+4)	$f (x) = \frac{x + 5}{x + 4}$
22022	Find the Derivative - d/d@VAR	f(x)=x^5e^(2x)	$f (x) = x^{5} e^{2 x}$
22023	Find the Derivative - d/d@VAR	f(x)=xe^(-(x^2)/8)	$f (x) = x e^{- \frac{x^{2}}{8}}$
22024	Find the Derivative - d/d@VAR	f(x)=xe^y	$f (x) = x e^{y}$
22025	Find the Derivative - d/d@VAR	f(x)=1-12x	$f (x) = 1 - 12 x$
22026	Find the Derivative - d/d@VAR	f(x)=11 natural log of x	$f (x) = 11 \ln (x)$
22027	Find the Derivative - d/d@VAR	f(x)=12(3x+4)^3	$f (x) = 12 {(3 x + 4)}^{3}$
22028	Find the Derivative - d/d@VAR	f(x)=10	$f (x) = 10$
22029	Find the Derivative - d/d@VAR	f(x)=10x-5x^3+3x^(2/3)	$f (x) = 10 x - 5 x^{3} + 3 x^{\frac{2}{3}}$
22030	Find the Derivative - d/d@VAR	f(x)=18x^5	$f (x) = 18 x^{5}$
22031	Find the Derivative - d/d@VAR	f(x)=16x^2	$f (x) = 16 x^{2}$
22032	Find the Derivative - d/d@VAR	f(x)=16 natural log of x	$f (x) = 16 \ln (x)$
22033	Find the Derivative - d/d@VAR	f(x)=17e^x	$f (x) = 17 e^{x}$
22034	Find the Derivative - d/d@VAR	f(x)=12x^3-27x^2-36x+1	$f (x) = 12 x^{3} - 27 x^{2} - 36 x + 1$
22035	Find the Derivative - d/d@VAR	f(x)=12+1/(7^3)	$f (x) = 12 + \frac{1}{7^{3}}$
22036	Find the Derivative - d/d@VAR	f(x)=12x(x^2+10)^5	$f (x) = 12 x {(x^{2} + 10)}^{5}$
22037	Find the Derivative - d/d@VAR	f(x)=1-4x	$f (x) = 1 - 4 x$
22038	Find the Derivative - d/d@VAR	f(x)=2-2/3x	$f (x) = 2 - \frac{2}{3} x$
22039	Find the Derivative - d/d@VAR	f(x)=144-x^2	$f (x) = 144 - x^{2}$
22040	Find the Derivative - d/d@VAR	f(x)=-2e^(-5x)+15x^0.2-4	$f (x) = - 2 e^{- 5 x} + 15 x^{0.2} - 4$
22041	Find the Derivative - d/d@VAR	f(x)=2e^x+5x- natural log of x	$f (x) = 2 e^{x} + 5 x - \ln (x)$
22042	Find the Derivative - d/d@VAR	f(x)=2e^(3x)+sin(4x)	$f (x) = 2 e^{3 x} + \sin (4 x)$
22043	Find the Derivative - d/d@VAR	f(x)=2x^2+3x-1	$f (x) = 2 x^{2} + 3 x - 1$
22044	Find the Derivative - d/d@VAR	f(x)=2x^2-13x+5	$f (x) = 2 x^{2} - 13 x + 5$
22045	Find the Derivative - d/d@VAR	f(x)=-2e^x	$f (x) = - 2 e^{x}$
22046	Find the Derivative - d/d@VAR	f(x)=2x^3-3x^2-12x-15	$f (x) = 2 x^{3} - 3 x^{2} - 12 x - 15$
22047	Find the Derivative - d/d@VAR	f(x)=2x^3-3x-1	$f (x) = 2 x^{3} - 3 x - 1$
22048	Find the Derivative - d/d@VAR	f(x)=2x^5 natural log of x	$f (x) = 2 x^{5} \ln (x)$
22049	Find the Derivative - d/d@VAR	f(x)=2x^2-3x-5	$f (x) = 2 x^{2} - 3 x - 5$
22050	Find the Derivative - d/d@VAR	f(x)=2x^2-6x+3	$f (x) = 2 x^{2} - 6 x + 3$
22051	Find the Derivative - d/d@VAR	f(x)=2x^3+3x^2-12x-15	$f (x) = 2 x^{3} + 3 x^{2} - 12 x - 15$
22052	Find the Derivative - d/d@VAR	f(x)=2-3e^(-2x)	$f (x) = 2 - 3 e^{- 2 x}$
22053	Find the Derivative - d/d@VAR	f(x)=2cos(2y)	$f (x) = 2 \cos (2 y)$
22054	Find the Derivative - d/d@VAR	f(x)=2t+3/t	$f (x) = 2 t + \frac{3}{t}$
22055	Find the Derivative - d/d@VAR	f(x)=-2arcsec(x^2)	$f (x) = - 2 arcsec (x^{2})$
22056	Find the Derivative - d/d@VAR	f(x)=2 natural log of 3x	$f (x) = 2 \ln (3 x)$
22057	Find the Derivative - d/d@VAR	f(x)=-2 natural log of 4x	$f (x) = - 2 \ln (4 x)$
22058	Find the Derivative - d/d@VAR	f(x)=2-3x	$f (x) = 2 - 3 x$
22059	Find the Derivative - d/d@VAR	f(x)=3e^(-4x)	$f (x) = 3 e^{- 4 x}$
22060	Find the Derivative - d/d@VAR	f(x)=3e^x natural log of x	$f (x) = 3 e^{x} \ln (x)$
22061	Find the Derivative - d/d@VAR	f(x)=2x+7	$f (x) = 2 x + 7$
22062	Find the Derivative - d/d@VAR	f(x)=2x+3x^(2/3)	$f (x) = 2 x + 3 x^{\frac{2}{3}}$
22063	Find the Derivative - d/d@VAR	f(x)=2x-500/x	$f (x) = 2 x - \frac{500}{x}$
22064	Find the Derivative - d/d@VAR	f(x)=2x+18/x	$f (x) = 2 x + \frac{18}{x}$
22065	Find the Derivative - d/d@VAR	f(x)=2x+ natural log of x	$f (x) = 2 x + \ln (x)$
22066	Find the Derivative - d/d@VAR	f(x)=2x-5x^(3/4)	$f (x) = 2 x - 5 x^{\frac{3}{4}}$
22067	Find the Derivative - d/d@VAR	f(x)=2 natural log of sin(x)	$f (x) = 2 \ln (\sin (x))$
22068	Find the Derivative - d/d@VAR	f(x)=3x^2-2cos(x)	$f (x) = 3 x^{2} - 2 \cos (x)$
22069	Find the Derivative - d/d@VAR	f(x)=3x^2-1	$f (x) = 3 x^{2} - 1$
22070	Find the Derivative - d/d@VAR	f(x)=3t^5-14t	$f (x) = 3 t^{5} - 14 t$
22071	Find the Derivative - d/d@VAR	f(x)=3x^2(6-9x)^4	$f (x) = 3 x^{2} {(6 - 9 x)}^{4}$
22072	Find the Derivative - d/d@VAR	f(x)=3x^2-2x+1	$f (x) = 3 x^{2} - 2 x + 1$
22073	Find the Derivative - d/d@VAR	f(x)=3x^2-2x+4	$f (x) = 3 x^{2} - 2 x + 4$
22074	Find the Derivative - d/d@VAR	f(x)=3x^2-4x+1	$f (x) = 3 x^{2} - 4 x + 1$
22075	Find the Derivative - d/d@VAR	f(x)=3x^2-4x+5	$f (x) = 3 x^{2} - 4 x + 5$
22076	Find the Derivative - d/d@VAR	f(x)=3x^2-5x	$f (x) = 3 x^{2} - 5 x$
22077	Find the Derivative - d/d@VAR	f(x)=6	$f (x) = 6$
22078	Find the Derivative - d/d@VAR	f(x)=-5x	$f (x) = - 5 x$
22079	Find the Derivative - d/d@VAR	f(x)=4tan(x^2)	$f (x) = 4 \tan (x^{2})$
22080	Find the Derivative - d/d@VAR	f(x)=5-x^2	$f (x) = 5 - x^{2}$
22081	Find the Derivative - d/d@VAR	f(x)=3xe^(-9x^2)	$f (x) = 3 x e^{- 9 x^{2}}$
22082	Find the Derivative - d/d@VAR	f(x)=5x^3-125x	$f (x) = 5 x^{3} - 125 x$
22083	Find the Derivative - d/d@VAR	f(x)=5x^2-2x+1	$f (x) = 5 x^{2} - 2 x + 1$
22084	Find the Derivative - d/d@VAR	f(x)=5+75x-2x^2+8y-0.5xy+4z^2	$f (x) = 5 + 75 x - 2 x^{2} + 8 y - 0.5 x y + 4 z^{2}$
22085	Find the Derivative - d/d@VAR	f(x)=55.36e^(-0.5x)(-26.90x+127.10)	$f (x) = 55.36 e^{- 0.5 x} (- 26.9 x + 127.1)$
22086	Find the Derivative - d/d@VAR	f(x)=6x^5-2x^3+5x-9	$f (x) = 6 x^{5} - 2 x^{3} + 5 x - 9$
22087	Find the Derivative - d/d@VAR	f(x)=7e^x	$f (x) = 7 e^{x}$
22088	Find the Derivative - d/d@VAR	f(x)=6x^-2+8x^3+11x	$f (x) = 6 x^{- 2} + 8 x^{3} + 11 x$
22089	Find the Derivative - d/d@VAR	f(x)=-6x^2-2x-7	$f (x) = - 6 x^{2} - 2 x - 7$
22090	Find the Derivative - d/d@VAR	f(x)=6x+2	$f (x) = 6 x + 2$
22091	Find the Derivative - d/d@VAR	f(x)=7x-5	$f (x) = 7 x - 5$
22092	Find the Derivative - d/d@VAR	f(x)=8sin(x)+8cos(x)	$f (x) = 8 \sin (x) + 8 \cos (x)$
22093	Find the Derivative - d/d@VAR	f(x)=8x^2 natural log of 8x	$f (x) = 8 x^{2} \ln (8 x)$
22094	Find the Derivative - d/d@VAR	f(x)=-8	$f (x) = - 8$
22095	Find the Derivative - d/d@VAR	f(x)=7x^3-8x^4	$f (x) = 7 x^{3} - 8 x^{4}$
22096	Find the Derivative - d/d@VAR	f(x)=7(3x)^2-14	$f (x) = 7 {(3 x)}^{2} - 14$
22097	Find the Derivative - d/d@VAR	f(x)=7-4e^x	$f (x) = 7 - 4 e^{x}$
22098	Find the Derivative - d/d@VAR	f(x)=5 square root of xsin(x)	$f (x) = 5 \sqrt{x} \sin (x)$
22099	Find the Derivative - d/d@VAR	f(x)=4x^3-15x^2-72x+5	$f (x) = 4 x^{3} - 15 x^{2} - 72 x + 5$
22100	Find the Derivative - d/d@VAR	f(x)=4-2 natural log of x	$f (x) = 4 - 2 \ln (x)$