Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7101	Find the Integral	x^6	$x^{6}$
7102	Find the Integral	(x-2)/( square root of x^2-4x+5)	$\frac{x - 2}{\sqrt{x^{2} - 4 x + 5}}$
7103	Find the Integral	x/((x^2+1)^2)	$\frac{x}{{(x^{2} + 1)}^{2}}$
7104	Find the Integral	x^(2/3)	$x^{\frac{2}{3}}$
7105	Find the Integral	arcsin( square root of 3/2)	$\arcsin (\sqrt{\frac{3}{2}})$
7106	Find the Integral	6x^2	$6 x^{2}$
7107	Find the Integral	5t	$5 t$
7108	Find the Integral	5x	$5 x$
7109	Find the Integral	5 square root of x-3	$5 \sqrt{x - 3}$
7110	Find the Integral	6 square root of 3x	$6 \sqrt{3 x}$
7111	Find the Integral	6x-7	$6 x - 7$
7112	Find the Integral	-sin(x)	$- \sin (x)$
7113	Find the Integral	f(x)=1/x	$f (x) = \frac{1}{x}$
7114	Find the Integral	square root of 365	$\sqrt{365}$
7115	Find the Derivative - d/dx	y=x-sin(x)	$y = x - \sin (x)$
7116	Find the Derivative - d/dx	y=xsin(3x)	$y = x \sin (3 x)$
7117	Find the Derivative - d/dx	y=xsin(x)+cos(x)	$y = x \sin (x) + \cos (x)$
7118	Find the Derivative - d/dy	((y-1)^4)/((y^2+2y)^5)	$\frac{{(y - 1)}^{4}}{{(y^{2} + 2 y)}^{5}}$
7119	Find the Derivative - d/dx	y=x( natural log of x)^2	$y = x \ln^{2} (x)$
7120	Find the Derivative - d/dx	y=x square root of 2x+3	$y = x \sqrt{2 x + 3}$
7121	Find the Derivative - d/dx	y=x square root of 1-x^2+arccos(x)	$y = x \sqrt{1 - x^{2}} + \arccos (x)$
7122	Find the Derivative - d/dx	y=xarcsin(x)+ square root of 1-x^2	$y = x \arcsin (x) + \sqrt{1 - x^{2}}$
7123	Find the Derivative - d/dx	y=x-1/55x^3	$y = x - \frac{1}{55} x^{3}$
7124	Find the Derivative - d/dx	y=x-1/65x^3	$y = x - \frac{1}{65} x^{3}$
7125	Find the Derivative - d/dx	y=x-1/70x^3	$y = x - \frac{1}{70} x^{3}$
7126	Find the Derivative - d/dx	y=x+cos(x)	$y = x + \cos (x)$
7127	Find the Derivative - d/dx	y=xarccos(x)	$y = x \arccos (x)$
7128	Find the Derivative - d/dx	y=x-4 natural log of 3x-9	$y = x - 4 \ln (3 x - 9)$
7129	Find the Derivative - d/dx	y=xarctan(2x)-1/4* natural log of 1+4x^2	$y = x \arctan (2 x) - \frac{1}{4} \cdot \ln (1 + 4 x^{2})$
7130	Find the Derivative - d/dx	y=xcos(2x)	$y = x \cos (2 x)$
7131	Find the Derivative - d/dx	y=xsec(kx)	$y = x \sec (k x)$
7132	Find the Derivative - d/dx	y=sin(x)cos(2x)	$y = \sin (x) \cos (2 x)$
7133	Find the Derivative - d/dx	y=tan(5x^2)	$y = \tan (5 x^{2})$
7134	Find the Derivative - d/dx	y=sin(h(cos(h(x))))	$y = \sinh (\cosh (x))$
7135	Find the Derivative - d/dy	cos(y)^2	$\cos^{2} (y)$
7136	Find the Derivative - d/dy	e^(xy^2)+ natural log of y+z	$e^{x y^{2}} + \ln (y + z)$
7137	Find the Derivative - d/dy	sin(y)^2	$\sin^{2} (y)$
7138	Find the Derivative - d/du	square root of u	$\sqrt{u}$
7139	Find the Derivative - d/dy	x^2-y^2	$x^{2} - y^{2}$
7140	Find the Derivative - d/dy	x^(y/z)	$x^{\frac{y}{z}}$
7141	Find the Derivative - d/dy	5y	$5 y$
7142	Find the Derivative - d/dy	6y	$6 y$
7143	Find the Derivative - d/dy	5y^2	$5 y^{2}$
7144	Find the Derivative - d/dy	4y^2	$4 y^{2}$
7145	Find the Derivative - d/dy	(y-2)/(y^2-2y+4)	$\frac{y - 2}{y^{2} - 2 y + 4}$
7146	Find the Derivative - d/dy	ye^(xy)	$y e^{x y}$
7147	Find the Derivative - d/dy	y/2	$\frac{y}{2}$
7148	Find the Derivative - d/dy	12y+6	$12 y + 6$
7149	Find the Derivative - d/dz	y=csc(h(x))(1- natural log of csc(h(x)))	$y = csch (x) (1 - \ln (csch (x)))$
7150	Evaluate the Limit	limit as x approaches infinity of (x^2-25)/(3x^2+2x-1)	$lim_{x \to \infty} \frac{x^{2} - 25}{3 x^{2} + 2 x - 1}$
7151	Find the Derivative - d/dy	B(y)=cy^-3	$B (y) = c y^{- 3}$
7152	Find the Derivative - d/dy	csc(y)	$\csc (y)$
7153	Find the Derivative - d/dy	F(y)=(1/(y^2)-3/(y^4))(y+5y^3)	$F (y) = (\frac{1}{y^{2}} - \frac{3}{y^{4}}) (y + 5 y^{3})$
7154	Find the Derivative - d/dy	sin(x)cos(h(cy))	$\sin (x) \cosh (c y)$
7155	Find the Derivative - d/dy	log of y	$\log (y)$
7156	Find the Derivative - d/dy	p(y)=(y^-1+y^-2)(8y^-3-9y^-4)	$p (y) = (y^{- 1} + y^{- 2}) (8 y^{- 3} - 9 y^{- 4})$
7157	Find the Derivative - d/dz	1/z	$\frac{1}{z}$
7158	Find the Derivative - d/dz	(4z+e^(-z^2))^3	${(4 z + e^{- z^{2}})}^{3}$
7159	Find the Derivative - d/dz	square root of (z-5)/(z+5)	$\sqrt{\frac{z - 5}{z + 5}}$
7160	Find the Derivative - d/dx	y=3cos(2x)	$y = 3 \cos (2 x)$
7161	Find the Derivative - d/dx	y=3sin(4x)	$y = 3 \sin (4 x)$
7162	Find the Derivative - d/dx	y=3x^5	$y = 3 x^{5}$
7163	Find the Derivative - d/dx	y=3xe^(4x^2)	$y = 3 x e^{4 x^{2}}$
7164	Find the Derivative - d/dx	y=4x^3e^(-x)	$y = 4 x^{3} e^{- x}$
7165	Find the Derivative - d/dx	y=4x^3+2x^2+6x-8+1/x	$y = 4 x^{3} + 2 x^{2} + 6 x - 8 + \frac{1}{x}$
7166	Find the Derivative - d/dx	y=4x^2+3x	$y = 4 x^{2} + 3 x$
7167	Find the Derivative - d/dx	y=4e^(9x)	$y = 4 e^{9 x}$
7168	Find the Derivative - d/dx	y=4sec(x)^2	$y = 4 \sec^{2} (x)$
7169	Find the Derivative - d/dx	y=400(15-x^2)(3x-2)	$y = 400 (15 - x^{2}) (3 x - 2)$
7170	Find the Derivative - d/dx	y=4arcsin(x/2)-x square root of 4-x^2	$y = 4 \arcsin (\frac{x}{2}) - x \sqrt{4 - x^{2}}$
7171	Find the Derivative - d/dx	y=4cos(x)	$y = 4 \cos (x)$
7172	Find the Derivative - d/dx	y=4x^3-48x-2	$y = 4 x^{3} - 48 x - 2$
7173	Find the Derivative - d/dx	y=4x^3-51x^2-180x+11	$y = 4 x^{3} - 51 x^{2} - 180 x + 11$
7174	Find the Derivative - d/dx	y=-4x^-5	$y = - 4 x^{- 5}$
7175	Find the Derivative - d/dx	y=5x^2-4x	$y = 5 x^{2} - 4 x$
7176	Find the Derivative - d/dx	y=5x^3	$y = 5 x^{3}$
7177	Find the Derivative - d/dx	y=5e^(3x)	$y = 5 e^{3 x}$
7178	Find the Derivative - d/dx	y=5 square root of x	$y = 5 \sqrt{x}$
7179	Find the Derivative - d/dx	y=5x^(2/5)-3/(x^4)+6 cube root of x^2	$y = 5 x^{\frac{2}{5}} - \frac{3}{x^{4}} + 6 \sqrt[3]{x^{2}}$
7180	Find the Derivative - d/dx	y=5x^3-2x	$y = 5 x^{3} - 2 x$
7181	Find the Derivative - d/dx	y=5x^3-3x^5	$y = 5 x^{3} - 3 x^{5}$
7182	Find the Derivative - d/dx	y=5x^3-3x	$y = 5 x^{3} - 3 x$
7183	Find the Derivative - d/dx	y=2cos(4x)	$y = 2 \cos (4 x)$
7184	Find the Derivative - d/dx	y=2x-3	$y = 2 x - 3$
7185	Find the Derivative - d/dx	y=2xcos(x^2)	$y = 2 x \cos (x^{2})$
7186	Find the Derivative - d/dx	y=2xsin(x)	$y = 2 x \sin (x)$
7187	Find the Derivative - d/dx	y=2cos(x)	$y = 2 \cos (x)$
7188	Find the Derivative - d/dx	y=2sec(x)	$y = 2 \sec (x)$
7189	Find the Derivative - d/dx	y=3x^2+7x-5	$y = 3 x^{2} + 7 x - 5$
7190	Find the Derivative - d/dx	y=3x^2+5x	$y = 3 x^{2} + 5 x$
7191	Find the Derivative - d/dx	y=-3e^(-5x^2)	$y = - 3 e^{- 5 x^{2}}$
7192	Find the Derivative - d/dx	y=3 log base 5 of x	$y = 3 \log_{5} (x)$
7193	Find the Derivative - d/dx	y=3(sin(x)+cos(x))(sin(x)-cos(x))	$y = 3 (\sin (x) + \cos (x)) (\sin (x) - \cos (x))$
7194	Find the Derivative - d/dx	y=2.0+0.9x-0.30x^2	$y = 2 + 0.9 x - 0.3 x^{2}$
7195	Find the Derivative - d/dx	y=-2e^(-3x^2)	$y = - 2 e^{- 3 x^{2}}$
7196	Find the Derivative - d/dx	y=2e^x	$y = 2 e^{x}$
7197	Find the Derivative - d/dx	y=14x^2	$y = 14 x^{2}$
7198	Find the Derivative - d/dx	y=2x^2+1	$y = 2 x^{2} + 1$
7199	Find the Derivative - d/dx	y=2x^2+7x-5	$y = 2 x^{2} + 7 x - 5$
7200	Find the Derivative - d/dx	y=2x^3-5x	$y = 2 x^{3} - 5 x$