Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1101	Evaluate the Integral	integral of x^8 with respect to x	$\int x^{8} d x$
1102	Evaluate the Integral	integral from -1 to 0 of t^(1/3)-t^(2/3) with respect to t	$\int_{- 1}^{0} t^{\frac{1}{3}} - t^{\frac{2}{3}} d t$
1103	Find the Derivative - d/dx	natural log of x^3	$\ln (x^{3})$
1104	Evaluate the Limit	limit as x approaches 0 of ( square root of x+5- square root of 5)/x	$lim_{x \to 0} \frac{\sqrt{x + 5} - \sqrt{5}}{x}$
1105	Evaluate the Integral	integral of (4x)/(x^2+9) with respect to x	$\int \frac{4 x}{x^{2} + 9} d x$
1106	Evaluate the Integral	integral of x^3e^(2x) with respect to x	$\int x^{3} e^{2 x} d x$
1107	Evaluate	sin(5)	$\sin (5)$
1108	Evaluate	cos((7pi)/4)	$\cos (\frac{7 π}{4})$
1109	Evaluate	arctan(-1/3)	$\arctan (\frac{- 1}{3})$
1110	Find the Critical Points	x^3-12x	$x^{3} - 12 x$
1111	Find the Derivative - d/dx	3/x-2/(x^3)+1/(x^4)	$\frac{3}{x} - \frac{2}{x^{3}} + \frac{1}{x^{4}}$
1112	Find the Derivative - d/dx	y = square root of 3x+2cos(x)	$y = \sqrt{3} x + 2 \cos (x)$
1113	Find dy/dx	y=1/x	$y = \frac{1}{x}$
1114	Find dy/dx	2x^2+y^2=12	$2 x^{2} + y^{2} = 12$
1115	Find dy/dx	x^3+y^3=3xy	$x^{3} + y^{3} = 3 x y$
1116	Find dy/dx	x^3+y^3=5	$x^{3} + y^{3} = 5$
1117	Find dy/dx	xy=1	$x y = 1$
1118	Find dy/dx	x=tan(y)	$x = \tan (y)$
1119	Find dy/dx	x^2+y^2=100	$x^{2} + y^{2} = 100$
1120	Find dy/dx	x^3-xy+y^2=7	$x^{3} - x y + y^{2} = 7$
1121	Evaluate the Integral	integral from 0 to 1 of (e^(2x)-e^(-2x))/(e^(2x)+e^(-2x)) with respect to x	$\int_{0}^{1} \frac{e^{2 x} - e^{- 2 x}}{e^{2 x} + e^{- 2 x}} d x$
1122	Find dy/dx	xy^2=4	$x y^{2} = 4$
1123	Find the Integral	2/x	$\frac{2}{x}$
1124	Find the Integral	e^y	$e^{y}$
1125	Find the Integral	arcsin(x)	$\arcsin (x)$
1126	Find the Integral	( natural log of x)^2	$\ln^{2} (x)$
1127	Find the Derivative - d/d@VAR	f(x)=x^2+2x	$f (x) = x^{2} + 2 x$
1128	Find the Derivative - d/d@VAR	f(x)=2x^2-5x+3	$f (x) = 2 x^{2} - 5 x + 3$
1129	Find the Derivative - d/d@VAR	f(x) = natural log of x	$f (x) = \ln (x)$
1130	Find the Derivative - d/d@VAR	f(x)=3/x	$f (x) = \frac{3}{x}$
1131	Find the Derivative - d/dx	f(x) = square root of x+1	$f (x) = \sqrt{x + 1}$
1132	Find the Derivative - d/dx	f(x) = fifth root of x	$f (x) = \sqrt[5]{x}$
1133	Find the Derivative - d/dx	f(x)=e^(-2x)	$f (x) = e^{- 2 x}$
1134	Find the Derivative - d/dx	f(x)=4-x^2	$f (x) = 4 - x^{2}$
1135	Find the Derivative - d/dx	f(x)=2x^2	$f (x) = 2 x^{2}$
1136	Find the Derivative - d/dx	cos(x)sin(x)	$\cos (x) \sin (x)$
1137	Find the Derivative - d/dx	cos( natural log of x)	$\cos (\ln (x))$
1138	Find the Derivative - d/dx	4x^4	$4 x^{4}$
1139	Find the Derivative - d/dx	6xy	$6 x y$
1140	Find the Derivative - d/dx	f(x)=1/(x^3)	$f (x) = \frac{1}{x^{3}}$
1141	Find the Derivative - d/dx	f(x)=1/(x-1)	$f (x) = \frac{1}{x - 1}$
1142	Find the Derivative - d/dx	natural log of x- square root of x^2-1	$\ln (x - \sqrt{x^{2} - 1})$
1143	Find the Derivative - d/dx	sin(tan(2x))	$\sin (\tan (2 x))$
1144	Find the Derivative - d/dx	x- natural log of x	$x - \ln (x)$
1145	Find the Derivative - d/dx	x^2-3x+3	$x^{2} - 3 x + 3$
1146	Find the Derivative - d/dx	5/x-2/(x^3)+1/(x^4)	$\frac{5}{x} - \frac{2}{x^{3}} + \frac{1}{x^{4}}$
1147	Find the Derivative - d/dx	xtan(x)	$x \tan (x)$
1148	Find the Derivative - d/dx	f(x)=sin(x)+cos(x)	$f (x) = \sin (x) + \cos (x)$
1149	Find the Derivative - d/dx	f(x)=cot(x)	$f (x) = \cot (x)$
1150	Find the Derivative - d/dx	natural log of e^(2x)	$\ln (e^{2 x})$
1151	Find the Derivative - d/dx	y=x^7e^x	$y = x^{7} e^{x}$
1152	Find the Derivative - d/dx	5x^4	$5 x^{4}$
1153	Find the Derivative - d/dx	xsin(x)+cos(x)	$x \sin (x) + \cos (x)$
1154	Find the Derivative - d/dx	sin(x)^5	$\sin^{5} (x)$
1155	Find the Derivative - d/dx	(4x-6)^2	${(4 x - 6)}^{2}$
1156	Find the Derivative - d/dx	y = natural log of 3x	$y = \ln (3 x)$
1157	Find the Derivative - d/dx	y=4ex^2	$y = 4 e x^{2}$
1158	Find the Derivative - d/dx	e^(3x)cos(2x)	$e^{3 x} \cos (2 x)$
1159	Find the Derivative - d/dx	(4x-9)^2	${(4 x - 9)}^{2}$
1160	Find the Derivative - d/dy	x^2y	$x^{2} y$
1161	Find the Integral	x^-3	$x^{- 3}$
1162	Find the Integral	sin(x^2)	$\sin (x^{2})$
1163	Find the Integral	3x^2	$3 x^{2}$
1164	Find the Integral	( natural log of x)/x	$\frac{\ln (x)}{x}$
1165	Find the Integral	cube root of x^2	$\sqrt[3]{x^{2}}$
1166	Find ds/dt	s=t^2 natural log of \|t\|	$s = t^{2} \ln (\| t \|)$
1167	Find dx/dt	x=2t^2+t	$x = 2 t^{2} + t$
1168	Find dx/dt	x=3t	$x = 3 t$
1169	Simplify	( square root of x)/(x^2)	$\frac{\sqrt{x}}{x^{2}}$
1170	Simplify	( square root of a square root of b)/( cube root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[3]{a b}}$
1171	Find the Derivative - d/dr	4pr^2	$4 p r^{2}$
1172	Find the Derivative - d/dt	e^(-2t)	$e^{- 2 t}$
1173	Find the Derivative - d/d@VAR	f(x)=3/(x^2)	$f (x) = \frac{3}{x^{2}}$
1174	Find the Derivative - d/dx	2e^(3x)	$2 e^{3 x}$
1175	Find the Derivative - d/dx	(2x+5)^2	${(2 x + 5)}^{2}$
1176	Find the Derivative - d/dx	(x+3)/(x-1)	$\frac{x + 3}{x - 1}$
1177	Find the Derivative - d/dx	(x+y)/(x-y)	$\frac{x + y}{x - y}$
1178	Find the Derivative - d/dx	( square root of x+x)/(x^2)	$\frac{\sqrt{x} + x}{x^{2}}$
1179	Find the Derivative - d/dx	x^n	$x^{n}$
1180	Find the Derivative - d/dx	x/(x-2)	$\frac{x}{x - 2}$
1181	Find the Derivative - d/dx	square root of x^2+2	$\sqrt{x^{2} + 2}$
1182	Find the Derivative - d/dx	x^2+4x	$x^{2} + 4 x$
1183	Find the Derivative - d/dx	-2/(x^3)	$- \frac{2}{x^{3}}$
1184	Find the Derivative - d/dx	8x^4	$8 x^{4}$
1185	Find the Derivative - d/dx	7/( square root of x)	$\frac{7}{\sqrt{x}}$
1186	Find the Derivative - d/dx	2/( fourth root of x^3)	$\frac{2}{\sqrt[4]{x^{3}}}$
1187	Find the Derivative - d/dx	square root of x^2+8	$\sqrt{x^{2} + 8}$
1188	Find the Derivative - d/dx	(4x-1)^2	${(4 x - 1)}^{2}$
1189	Find the Derivative - d/dx	e^(e^x)	$e^{e^{x}}$
1190	Find the Derivative - d/dx	2/( square root of x)	$\frac{2}{\sqrt{x}}$
1191	Find the Derivative - d/dx	8/x	$\frac{8}{x}$
1192	Find the Derivative - d/dx	x- cube root of x	$x - \sqrt[3]{x}$
1193	Find the Derivative - d/dx	y=sin(tan(7x))	$y = \sin (\tan (7 x))$
1194	Find the Derivative - d/dx	square root of x^2	$\sqrt{x^{2}}$
1195	Find the Derivative - d/dx	x^2tan(x)	$x^{2} \tan (x)$
1196	Find the Derivative - d/dx	sin(cos(x))	$\sin (\cos (x))$
1197	Find the Derivative - d/dx	sin(e^x)	$\sin (e^{x})$
1198	Find the Derivative - d/dx	(e^(-x)+1)/(e^x)	$\frac{e^{- x} + 1}{e^{x}}$
1199	Find the Derivative - d/dt	2t^2+t	$2 t^{2} + t$
1200	Find the Derivative - d/dt	1/(t^2)	$\frac{1}{t^{2}}$