Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2001	Solve for x	12x^2-136x+289=0	$12 x^{2} - 136 x + 289 = 0$
2002	Solve for x	2 natural log of x=1	$2 \ln (x) = 1$
2003	Solve for x	9x^2-6x-3=0	$9 x^{2} - 6 x - 3 = 0$
2004	Simplify	(x^(3/2))/(3/2)	$\frac{x^{\frac{3}{2}}}{\frac{3}{2}}$
2005	Simplify	(e^(-x))^2	${(e^{- x})}^{2}$
2006	Simplify	(x)(22-2x)(22-2x)	$(x) (22 - 2 x) (22 - 2 x)$
2007	Simplify	(-2x^5y^3)*(3x^-1y^5)	$(- 2 x^{5} y^{3}) \cdot (3 x^{- 1} y^{5})$
2008	Solve for x	-3x-4y=-2	$- 3 x - 4 y = - 2$
2009	Simplify	2(x+h)^3	$2 {(x + h)}^{3}$
2010	Simplify	1-1/95x^2	$1 - \frac{1}{95} x^{2}$
2011	Simplify	cos(x)*cos(x)	$\cos (x) \cdot \cos (x)$
2012	Find the Derivative - d/dt	t square root of 4-t	$t \sqrt{4 - t}$
2013	Find the Derivative - d/dt	2t	$2 t$
2014	Find the Derivative - d/dx	9e^xcos(x)	$9 e^{x} \cos (x)$
2015	Find the Derivative - d/dx	1/(sec(x))	$\frac{1}{\sec (x)}$
2016	Find the Derivative - d/dx	fifth root of x^4	$\sqrt[5]{x^{4}}$
2017	Find the Derivative - d/dx	1/(x^2-4)	$\frac{1}{x^{2} - 4}$
2018	Find the Derivative - d/dx	y=pi/((3x)^2)	$y = \frac{π}{{(3 x)}^{2}}$
2019	Find the Derivative - d/dx	1/(3x^3)	$\frac{1}{3 x^{3}}$
2020	Find the Derivative - d/dx	10e^x	$10 e^{x}$
2021	Find the Derivative - d/dx	cube root of 8/x	$\sqrt[3]{\frac{8}{x}}$
2022	Find the Derivative - d/dx	x^2+6	$x^{2} + 6$
2023	Find the Derivative - d/dx	(4x-x^2)^100	${(4 x - x^{2})}^{100}$
2024	Find the Derivative - d/dx	(e^x)/(x^3)	$\frac{e^{x}}{x^{3}}$
2025	Find the Derivative - d/dx	x-x^2	$x - x^{2}$
2026	Find the Derivative - d/dx	arctan(e^x)	$\arctan (e^{x})$
2027	Find the Derivative - d/dx	fifth root of x^6	$\sqrt[5]{x^{6}}$
2028	Find the Derivative - d/dx	e^(7x^2+3)	$e^{7 x^{2} + 3}$
2029	Find the Derivative - d/dx	(cot(x))/(1+cot(x))	$\frac{\cot (x)}{1 + \cot (x)}$
2030	Find the Derivative - d/dx	y=sin(x^2)	$y = \sin (x^{2})$
2031	Find the Derivative - d/dx	square root of x-4	$\sqrt{x - 4}$
2032	Find the Derivative - d/dx	square root of natural log of x	$\sqrt{\ln (x)}$
2033	Find the Derivative - d/dx	(sec(x))/(1+sec(x))	$\frac{\sec (x)}{1 + \sec (x)}$
2034	Find the Derivative - d/dx	cube root of x^2-1	$\sqrt[3]{x^{2} - 1}$
2035	Find the Derivative - d/dx	x/(x^2+64)	$\frac{x}{x^{2} + 64}$
2036	Find the Derivative - d/dx	10^x	$10^{x}$
2037	Find the Derivative - d/dx	y=x^4e^x	$y = x^{4} e^{x}$
2038	Find the Derivative - d/dx	y=6x-x^2	$y = 6 x - x^{2}$
2039	Find the Derivative - d/dx	3 square root of x^5	$3 \sqrt{x^{5}}$
2040	Find the Derivative - d/dx	2x^5	$2 x^{5}$
2041	Find the Derivative - d/dx	x^2(1-8x)	$x^{2} (1 - 8 x)$
2042	Find the Derivative - d/dx	y=3x(6x-5x^2)	$y = 3 x (6 x - 5 x^{2})$
2043	Find the Derivative - d/dx	3x+2	$3 x + 2$
2044	Find the Derivative - d/dx	5e^x square root of x	$5 e^{x} \sqrt{x}$
2045	Find the Derivative - d/dx	-4x	$- 4 x$
2046	Find the Derivative - d/dx	3x-x^2	$3 x - x^{2}$
2047	Find the Derivative - d/dx	(x-1)^3	${(x - 1)}^{3}$
2048	Find the Derivative - d/dx	(x/3.2+3.2/x)(x^2+1)	$(\frac{x}{3.2} + \frac{3.2}{x}) (x^{2} + 1)$
2049	Find the Derivative - d/dx	-xe^x	$- x e^{x}$
2050	Find the Derivative - d/dX	(X-1)/X	$\frac{X - 1}{X}$
2051	Find the Derivative - d/dx	y=x-x^3	$y = x - x^{3}$
2052	Find the Derivative - d/dx	(x-2)^3	${(x - 2)}^{3}$
2053	Find the Derivative - d/dx	( natural log of x)^5	$\ln^{5} (x)$
2054	Find the Derivative - d/dx	y = cube root of x^2	$y = \sqrt[3]{x^{2}}$
2055	Find the Derivative - d/dx	x^2-8 natural log of x	$x^{2} - 8 \ln (x)$
2056	Find the Derivative - d/dx	y=2^x	$y = 2^{x}$
2057	Find the Derivative - d/dx	(sin(x))/(cos(x))	$\frac{\sin (x)}{\cos (x)}$
2058	Evaluate the Limit	limit as x approaches negative infinity of x+ square root of x^2+8x	$lim_{x \to - \infty} x + \sqrt{x^{2} + 8 x}$
2059	Find the Derivative - d/d@VAR	F(x) = square root of x-5 cube root of x	$F (x) = \sqrt{x} - 5 \sqrt[3]{x}$
2060	Find the Derivative - d/da	a^x	$a^{x}$
2061	Find the Derivative - d/dt	t^2sin(t)	$t^{2} \sin (t)$
2062	Find the Derivative - d/dt	(at^2+bt+c)	$(a t^{2} + b t + c)$
2063	Find the Derivative - d/dt	sin(e^(sin(t)^2))^2	$\sin^{2} (e^{\sin^{2} (t)})$
2064	Find the Derivative - d/dt	e^(3tsin(2t))	$e^{3 t \sin (2 t)}$
2065	Simplify	(2(x+2)^(1/2))/(((x-2)^(1/2))/((x+2)^2))	$\frac{2 {(x + 2)}^{\frac{1}{2}}}{\frac{{(x - 2)}^{\frac{1}{2}}}{{(x + 2)}^{2}}}$
2066	Simplify	( square root of x-1)/(x-1)	$\frac{\sqrt{x} - 1}{x - 1}$
2067	Simplify	( square root of x^2+9-5)/(x+4)	$\frac{\sqrt{x^{2} + 9} - 5}{x + 4}$
2068	Find the Roots (Zeros)	2x+cos(x)=0	$2 x + \cos (x) = 0$
2069	Find dS/dA	s=180A-0.30A^3	$s = 180 A - 0.3 A^{3}$
2070	Find the Integral	2/(x^2)	$\frac{2}{x^{2}}$
2071	Find the Integral	e^(3x)	$e^{3 x}$
2072	Find the Integral	x^2e^x	$x^{2} e^{x}$
2073	Find the Derivative - d/dx	y=x square root of 4-x	$y = x \sqrt{4 - x}$
2074	Find the Derivative - d/dx	y=sin(x)tan(x)	$y = \sin (x) \tan (x)$
2075	Find the Derivative - d/dX	5^X	$5^{X}$
2076	Find the Derivative - d/dy	e^(xy)	$e^{x y}$
2077	Find the Derivative - d/dZ	y=pi/2*sin(x)-cos(x)	$y = \frac{π}{2} \cdot \sin (x) - \cos (x)$
2078	Find the Derivative - d/dx	(x^3)/3+1/(4x)	$\frac{x^{3}}{3} + \frac{1}{4 x}$
2079	Find the Derivative - d/dx	natural log of (x)^5	$\ln ({(x)}^{5})$
2080	Find the Derivative - d/dx	x^2(x-2)^4	$x^{2} {(x - 2)}^{4}$
2081	Find the Derivative - d/dx	y = log of 3x	$y = \log (3 x)$
2082	Find the Derivative - d/dx	y = log of 2x	$y = \log (2 x)$
2083	Find the Derivative - d/dx	y=sin( square root of x)	$y = \sin (\sqrt{x})$
2084	Find the Derivative - d/dx	y = natural log of 9x	$y = \ln (9 x)$
2085	Find the Derivative - d/dx	y = natural log of (1+e^x)/(1-e^x)	$y = \ln (\frac{1 + e^{x}}{1 - e^{x}})$
2086	Find the Derivative - d/dx	y=e^(tan(x))	$y = e^{\tan (x)}$
2087	Find the Derivative - d/dx	y=x^2+3	$y = x^{2} + 3$
2088	Find the Derivative - d/dx	y=x^3 natural log of x	$y = x^{3} \ln (x)$
2089	Find the Derivative - d/dx	sin(x^5)	$\sin (x^{5})$
2090	Find the Derivative - d/dx	y=x^5e^x	$y = x^{5} e^{x}$
2091	Find the Derivative - d/dx	(7x^2-9x+13)/(2x+4)	$\frac{7 x^{2} - 9 x + 13}{2 x + 4}$
2092	Find the Derivative - d/dx	arcsin(2x+1)	$\arcsin (2 x + 1)$
2093	Find the Derivative - d/dx	y=2^(3^(x^2))	$y = 2^{3^{x^{2}}}$
2094	Find the Derivative - d/dx	y=(2x^3+9x)^5	$y = {(2 x^{3} + 9 x)}^{5}$
2095	Find the Derivative - d/dx	3tan(x)	$3 \tan (x)$
2096	Find the Derivative - d/dx	1/2x^(-1/2)	$\frac{1}{2} x^{- \frac{1}{2}}$
2097	Find the Derivative - d/dx	natural log of 10x	$\ln (10 x)$
2098	Find the Derivative - d/dx	natural log of 3x^2	$\ln (3 x^{2})$
2099	Find the Derivative - d/dx	f(x)=-cos(x)	$f (x) = - \cos (x)$
2100	Find the Derivative - d/d@VAR	f(x)=4/(x^2)-10x^3	$f (x) = \frac{4}{x^{2}} - 10 x^{3}$