Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8101	Find the Derivative - d/dx	y=cos(2x)	$y = \cos (2 x)$
8102	Find the Derivative - d/dx	y=cos(a^3+x^3)	$y = \cos (a^{3} + x^{3})$
8103	Find the Derivative - d/dx	y=9x^2-2x	$y = 9 x^{2} - 2 x$
8104	Find the Derivative - d/dx	y=6x+4	$y = 6 x + 4$
8105	Find the Derivative - d/dx	y=-7x^6	$y = - 7 x^{6}$
8106	Find the Derivative - d/dx	y=8-x^3	$y = 8 - x^{3}$
8107	Find the Derivative - d/dx	y = natural log of 4x-1-3 natural log of x	$y = \ln (4 x - 1) - 3 \ln (x)$
8108	Find the Derivative - d/dx	y = natural log of sin(x)	$y = \ln (\sin (x))$
8109	Find the Derivative - d/dx	y = natural log of x^2-1	$y = \ln (x^{2} - 1)$
8110	Find the Derivative - d/dx	y = natural log of 1+e^(2x)	$y = \ln (1 + e^{2 x})$
8111	Find the Derivative - d/dx	y = natural log of e^x	$y = \ln (e^{x})$
8112	Find the Derivative - d/dx	y = natural log of 10^x	$y = \ln (10^{x})$
8113	Find the Derivative - d/dx	y=cos(sin(x))	$y = \cos (\sin (x))$
8114	Find the Derivative - d/dx	y=cot(x)	$y = \cot (x)$
8115	Evaluate the Limit	limit as x approaches 0 of \|x\|	$lim_{x \to 0} \| x \|$
8116	Find the Derivative - d/dx	y = log of x^2	$y = \log (x^{2})$
8117	Find the Derivative - d/dx	y=sin(2x)	$y = \sin (2 x)$
8118	Find the Derivative - d/dx	y=x-1/95x^3	$y = x - \frac{1}{95} x^{3}$
8119	Find the Derivative - d/dx	y=xtan(x)	$y = x \tan (x)$
8120	Find the Derivative - d/dx	y=(x+4)/(x-4)	$y = \frac{x + 4}{x - 4}$
8121	Find the Derivative - d/dx	y=(x^2)/(e^x)	$y = \frac{x^{2}}{e^{x}}$
8122	Find the Derivative - d/dx	y=(x^2+8)/(8-x)	$y = \frac{x^{2} + 8}{8 - x}$
8123	Find the Derivative - d/dx	y=cos(x)^3	$y = \cos^{3} (x)$
8124	Find the Derivative - d/dx	y=(4x+1)^2(1-x)^3	$y = {(4 x + 1)}^{2} {(1 - x)}^{3}$
8125	Find the Derivative - d/dx	y=(4x+3)^5	$y = {(4 x + 3)}^{5}$
8126	Find the Derivative - d/dx	y=(16x+5)(4x-3)^2	$y = (16 x + 5) {(4 x - 3)}^{2}$
8127	Find the Derivative - d/dx	y=(2x-7)(5-2x)	$y = (2 x - 7) (5 - 2 x)$
8128	Find the Derivative - d/dx	y=(5x-4)(5x^3-x^2+1)	$y = (5 x - 4) (5 x^{3} - x^{2} + 1)$
8129	Find the Derivative - d/dx	y=3^(2x)	$y = 3^{2 x}$
8130	Find the Derivative - d/dx	y=1/(x^3)	$y = \frac{1}{x^{3}}$
8131	Find the Derivative - d/dx	y=e^(-x/2)	$y = e^{- \frac{x}{2}}$
8132	Find the Derivative - d/dx	y=8^(3-x^2)	$y = 8^{3 - x^{2}}$
8133	Find the Derivative - d/dx	y=9/(4 fourth root of x^3)	$y = \frac{9}{4 \sqrt[4]{x^{3}}}$
8134	Find the Derivative - d/dx	y=7^x	$y = 7^{x}$
8135	Find dy/dx	y=x^2+1	$y = x^{2} + 1$
8136	Find dy/dx	y=x^2-4	$y = x^{2} - 4$
8137	Find dy/dx	y = square root of 2x+1	$y = \sqrt{2 x + 1}$
8138	Find dy/dx	y = square root of x(3x-1)	$y = \sqrt{x} (3 x - 1)$
8139	Find dy/dx	y=sin(x)^(cos(x))	$y = {\sin (x)}^{\cos (x)}$
8140	Find dy/dx	y=( natural log of x)/x	$y = \frac{\ln (x)}{x}$
8141	Find dy/dx	y=1/(x^2-1)	$y = \frac{1}{x^{2} - 1}$
8142	Find dy/dx	y=5^x	$y = 5^{x}$
8143	Find dy/dx	y=e^xcos(x)	$y = e^{x} \cos (x)$
8144	Find dy/dx	y=-8x^2-3	$y = - 8 x^{2} - 3$
8145	Find dy/dX	y=cos(X)	$y = \cos (X)$
8146	Find dy/dx	y=csc(xy)	$y = \csc (x y)$
8147	Find dy/dx	y = natural log of square root of x^2+4	$y = \ln (\sqrt{x^{2} + 4})$
8148	Find dy/dX	y=X^8	$y = X^{8}$
8149	Find dy/dx	y=x^4-8x^2	$y = x^{4} - 8 x^{2}$
8150	Find dy/dx	y=x^5+8	$y = x^{5} + 8$
8151	Find dy/dx	y=x^3sin(x^3)^3	$y = x^{3} \sin^{3} (x^{3})$
8152	Find dy/dx	yz = natural log of x+z	$y z = \ln (x + z)$
8153	Find the Derivative - d/dm	y=mx+b	$y = m x + b$
8154	Find the Derivative - d/dt	y = natural log of t+19	$y = \ln (t + 19)$
8155	Find the Derivative - d/dt	y=1/3*(t^6-t^3)	$y = \frac{1}{3} \cdot (t^{6} - t^{3})$
8156	Find dy/dx	y = natural log of 7x^3-x^2	$y = \ln (7 x^{3} - x^{2})$
8157	Find dy/dx	y=sin( square root of 1+x^2)	$y = \sin (\sqrt{1 + x^{2}})$
8158	Find dy/dx	ycos(x)=2x^2+3y^2	$y \cos (x) = 2 x^{2} + 3 y^{2}$
8159	Find the Integral	tan(x)	$\tan (x)$
8160	Find dy/dx	ysin(x)=xsin(y)	$y \sin (x) = x \sin (y)$
8161	Find the Derivative - d/dt	y=e^(9tsin(2t))	$y = e^{9 t \sin (2 t)}$
8162	Find the Derivative - d/dt	y=t/((t-5)^2)	$y = \frac{t}{{(t - 5)}^{2}}$
8163	Find the Derivative - d/dv	y=2sin(v^2)cos(6v)	$y = 2 \sin (v^{2}) \cos (6 v)$
8164	Find the Derivative - d/dt	y=2-7t	$y = 2 - 7 t$
8165	Find the Asymptotes	f(x)=( square root of 10x^2+11)/(12x+10)	$f (x) = \frac{\sqrt{10 x^{2} + 11}}{12 x + 10}$
8166	Find the Asymptotes	f(x)=(x^2+81)/x	$f (x) = \frac{x^{2} + 81}{x}$
8167	Find the Asymptotes	square root of x	$\sqrt{x}$
8168	Find the Asymptotes	f(x)=(2x^3-3x-9)/(9x^3-5x+3)	$f (x) = \frac{2 x^{3} - 3 x - 9}{9 x^{3} - 5 x + 3}$
8169	Find the Asymptotes	f(x)=2/(x-7)	$f (x) = \frac{2}{x - 7}$
8170	Find the Derivative - d/dx	square root of 7x	$\sqrt{7 x}$
8171	Find the Asymptotes	f(x)=(x^2-7)/(x+4)	$f (x) = \frac{x^{2} - 7}{x + 4}$
8172	Find the Asymptotes	f(x)=(x^2-4)/(x^2+4)	$f (x) = \frac{x^{2} - 4}{x^{2} + 4}$
8173	Find the Asymptotes	1/( square root of x)	$\frac{1}{\sqrt{x}}$
8174	Solve for x	y = log of 2x-12	$y = \log (2 x - 12)$
8175	Solve for x	y = square root of x-3- square root of x+3	$y = \sqrt{x - 3} - \sqrt{x + 3}$
8176	Find the Asymptotes	(3x^2y+(2x)/y)dx=(2x^3y-(x^2)/(y^2))dy	$(3 x^{2} y + \frac{2 x}{y}) d x = (2 x^{3} y - \frac{x^{2}}{y^{2}}) d y$
8177	Find the Range	y=x^(3/2)	$y = x^{\frac{3}{2}}$
8178	Solve over the Interval	y=3arcsin(x) , (1/2,pi/2)	$y = 3 \arcsin (x)$ , $(\frac{1}{2}, \frac{π}{2})$
8179	Solve over the Interval	(dy)/(dx)=3x-5 , (2,3)	$\frac{d y}{d x} = 3 x - 5$ , $(2, 3)$
8180	Find the Derivative - d/dx	e^(x/y)	$e^{\frac{x}{y}}$
8181	Find the Derivative - d/dx	sec(x)^4-tan(x)^4	$\sec^{4} (x) - \tan^{4} (x)$
8182	Find the Derivative - d/dx	(arcsin(3x))/x	$\frac{\arcsin (3 x)}{x}$
8183	Find the Derivative - d/dx	4^(x^2)	$4^{x^{2}}$
8184	Find the Derivative - d/dx	(e^(4x))/(x^8)	$\frac{e^{4 x}}{x^{8}}$
8185	Find the Derivative - d/dx	(x^3)/2	$\frac{x^{3}}{2}$
8186	Find the Derivative - d/dx	(d^90)/(dx^90)*(sin(x))	$\frac{d^{90}}{d x^{90}} \cdot (\sin (x))$
8187	Find the Derivative - d/dx	(e^(2x))/(sin(5x))	$\frac{e^{2 x}}{\sin (5 x)}$
8188	Find the Derivative - d/dx	(5x-4)^2	${(5 x - 4)}^{2}$
8189	Find the Derivative - d/dx	(x+h)^3	${(x + h)}^{3}$
8190	Find the Derivative - d/dx	(x+h)^4	${(x + h)}^{4}$
8191	Find the Derivative - d/dx	1/3x^(-2/3)	$\frac{1}{3} x^{- \frac{2}{3}}$
8192	Find the Derivative - d/dx	4000/x	$\frac{4000}{x}$
8193	Find the Derivative - d/dx	2^x-1	$2^{x} - 1$
8194	Find the Derivative - d/dx	x^(7/2)	$x^{\frac{7}{2}}$
8195	Find the Derivative - d/dx	square root of 3x+2cos(x)	$\sqrt{3 x} + 2 \cos (x)$
8196	Find the Derivative - d/dx	(tan(x)-1)/(sec(x))	$\frac{\tan (x) - 1}{\sec (x)}$
8197	Find the Derivative - d/dx	xe^y	$x e^{y}$
8198	Find the Derivative - d/dx	2x^2-4x	$2 x^{2} - 4 x$
8199	Find the Derivative - d/dx	24x^3y^2	$24 x^{3} y^{2}$
8200	Find the Derivative - d/dx	18x^3y^2	$18 x^{3} y^{2}$