Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1401	Find the Derivative - d/dx	4/(3x^2)	$\frac{4}{3 x^{2}}$
1402	Find the Derivative - d/dx	y=7+sin(x)	$y = 7 + \sin (x)$
1403	Find the Derivative - d/dx	sin(8x)	$\sin (8 x)$
1404	Find the Derivative - d/dx	x^(3/4)	$x^{\frac{3}{4}}$
1405	Find the Derivative - d/dx	x(x^2-1/x)	$x (x^{2} - \frac{1}{x})$
1406	Find the Derivative - d/d@VAR	g(x) = square root of 7-x	$g (x) = \sqrt{7 - x}$
1407	Find the Derivative - d/d@VAR	f(x)=x^2+3	$f (x) = x^{2} + 3$
1408	Find the Derivative - d/d@VAR	f(x)=(x^3+x+4)/(2x)	$f (x) = \frac{x^{3} + x + 4}{2 x}$
1409	Find the Derivative - d/d@VAR	f(x)=1/(x^4)	$f (x) = \frac{1}{x^{4}}$
1410	Find the Derivative - d/d?	sec(x)tan(x)	$\sec (x) \tan (x)$
1411	Find the Derivative - d/dt	sin(2t)	$\sin (2 t)$
1412	Find the Derivative - d/dt	(e^(-t))/(1+t^2)	$\frac{e^{- t}}{1 + t^{2}}$
1413	Find the Derivative - d/dr	312pr-6p^2r^2	$312 p r - 6 p^{2} r^{2}$
1414	Find the Derivative - d/dm	mx+b	$m x + b$
1415	Simplify	( square root of t)/(t^2)	$\frac{\sqrt{t}}{t^{2}}$
1416	Find dV/dr	V=4/3*(pr^3)	$V = \frac{4}{3} \cdot (p r^{3})$
1417	Find the Integral	cube root of x	$\sqrt[3]{x}$
1418	Find the Integral	fourth root of x	$\sqrt[4]{x}$
1419	Find the Integral	1/(e^x)	$\frac{1}{e^{x}}$
1420	Find the Derivative - d/dx	y=sin(sin(sin(x)))	$y = \sin (\sin (\sin (x)))$
1421	Find the Derivative - d/dy	1/(y^2)	$\frac{1}{y^{2}}$
1422	Find the Derivative - d/dy	e^(2y)	$e^{2 y}$
1423	Find the Derivative - d/dy	(1/(y^2)-3/(y^4))(y+9y^3)	$(\frac{1}{y^{2}} - \frac{3}{y^{4}}) (y + 9 y^{3})$
1424	Find the Derivative - d/dx	2^2*0	$2^{20}$
1425	Find the Derivative - d/dx	natural log of cube root of x	$\ln (\sqrt[3]{x})$
1426	Find the Derivative - d/dx	x^2(1-4x)	$x^{2} (1 - 4 x)$
1427	Find the Derivative - d/dx	(sin(x))/(1+cos(x))	$\frac{\sin (x)}{1 + \cos (x)}$
1428	Find the Derivative - d/dx	y=csc(x)	$y = \csc (x)$
1429	Find the Derivative - d/dx	y=x/4-4/x	$y = \frac{x}{4} - \frac{4}{x}$
1430	Find the Derivative - d/dx	x square root of 3x+1	$x \sqrt{3 x + 1}$
1431	Find the Derivative - d/dx	y=e^(sin(x))	$y = e^{\sin (x)}$
1432	Find the Derivative - d/dx	y = square root of 1-x^2	$y = \sqrt{1 - x^{2}}$
1433	Find the Derivative - d/dx	5-x^2	$5 - x^{2}$
1434	Find the Derivative - d/dx	y=x/( square root of x^2+1)	$y = \frac{x}{\sqrt{x^{2} + 1}}$
1435	Find the Derivative - d/dx	4tan(x)	$4 \tan (x)$
1436	Find the Derivative - d/dx	3sec(x)	$3 \sec (x)$
1437	Find the Derivative - d/dx	x^(-1/2)	$x^{- \frac{1}{2}}$
1438	Find the Derivative - d/dx	x^7e^x	$x^{7} e^{x}$
1439	Find the Derivative - d/dx	y=11^x	$y = 11^{x}$
1440	Find the Derivative - d/dx	y=2/(x^2)	$y = \frac{2}{x^{2}}$
1441	Find the Derivative - d/dx	y=(x+1)^2(x^2+1)^-3	$y = {(x + 1)}^{2} {(x^{2} + 1)}^{- 3}$
1442	Find the Derivative - d/dx	square root of x+3/( square root of x)	$\sqrt{x} + \frac{3}{\sqrt{x}}$
1443	Find the Derivative - d/dx	natural log of e^(x^2)	$\ln (e^{x^{2}})$
1444	Find the Derivative - d/dx	natural log of e^x+xe^x	$\ln (e^{x} + x e^{x})$
1445	Find the Derivative - d/dx	natural log of (x+1)/(x-1)	$\ln (\frac{x + 1}{x - 1})$
1446	Find the Derivative - d/dx	f(x)=cos(2x)	$f (x) = \cos (2 x)$
1447	Find the Derivative - d/dx	f(x)=xsin(x)	$f (x) = x \sin (x)$
1448	Find dy/dx	x^2-4xy+y^2=4	$x^{2} - 4 x y + y^{2} = 4$
1449	Find the Derivative - d/dx	xcos(x)+sin(x)	$x \cos (x) + \sin (x)$
1450	Find the Derivative - d/dx	x^3-1	$x^{3} - 1$
1451	Find the Derivative - d/dx	(x+3)(x^2-3)	$(x + 3) (x^{2} - 3)$
1452	Find the Derivative - d/dx	natural log of (e^(x^2)(3x-2)^7)/(7x^9)	$\ln (\frac{e^{x^{2}} {(3 x - 2)}^{7}}{7 x^{9}})$
1453	Find the Derivative - d/dx	5/( square root of x)	$\frac{5}{\sqrt{x}}$
1454	Find the Derivative - d/dx	(7 square root of x)/8	$\frac{7 \sqrt{x}}{8}$
1455	Find the Derivative - d/dx	sin(7x)	$\sin (7 x)$
1456	Find the Derivative - d/dx	-x+8/x+1	$- x + \frac{8}{x} + 1$
1457	Find the Derivative - d/dx	(x^3-3x^2+4)/(x^2)	$\frac{(x^{3} - 3 x^{2} + 4)}{x^{2}}$
1458	Find the Derivative - d/dx	sin(x)tan(x)	$\sin (x) \tan (x)$
1459	Find the Derivative - d/dx	sin(x)-cos(x)	$\sin (x) - \cos (x)$
1460	Find the Derivative - d/dx	natural log of x+2	$\ln (x + 2)$
1461	Find the Derivative - d/dx	e^infinity	$e^{\infty}$
1462	Find the Derivative - d/dx	3x^2-2x	$3 x^{2} - 2 x$
1463	Find the Derivative - d/dx	log of 2x	$\log (2 x)$
1464	Find the Derivative - d/dx	x^2+3x	$x^{2} + 3 x$
1465	Find the Derivative - d/dx	f(x)=(x^2)/(x^2+1)	$f (x) = \frac{x^{2}}{x^{2} + 1}$
1466	Find the Derivative - d/dx	5tan(x)	$5 \tan (x)$
1467	Find the Derivative - d/dx	3x+5	$3 x + 5$
1468	Find the Derivative - d/dx	arctan(2x)	$\arctan (2 x)$
1469	Find the Derivative - d/dx	e^x+x^e	$e^{x} + x^{e}$
1470	Find the Derivative - d/dx	cos(tan(x))	$\cos (\tan (x))$
1471	Find the Derivative - d/dx	cos(7x)	$\cos (7 x)$
1472	Find the Derivative - d/dx	9/(8 fourth root of x^3)	$\frac{9}{8 \sqrt[4]{x^{3}}}$
1473	Find the Derivative - d/dx	1+sin(x)	$1 + \sin (x)$
1474	Find the Derivative - d/dx	csc(x)cot(x)	$\csc (x) \cot (x)$
1475	Find the Derivative - d/dx	f(x)=x^x	$f (x) = x^{x}$
1476	Find the Derivative - d/dx	f(x)=x^5	$f (x) = x^{5}$
1477	Evaluate the Integral	integral of te^t with respect to t	$\int t e^{t} d t$
1478	Find the Derivative - d/dx	f(x)=x^(5/2)	$f (x) = x^{\frac{5}{2}}$
1479	Find the Derivative - d/dx	f(x)=x^2+1	$f (x) = x^{2} + 1$
1480	Find the Derivative - d/d@VAR	f(x)=3^x	$f (x) = 3^{x}$
1481	Find the Derivative - d/d@VAR	F(x)=2/x	$F (x) = \frac{2}{x}$
1482	Find the Derivative - d/d@VAR	f(x)=x^6	$f (x) = x^{6}$
1483	Find the Integral	2x^2	$2 x^{2}$
1484	Find the Integral	sin(x)^3	$\sin^{3} (x)$
1485	Find dy/dx	x^3+y^3=18xy	$x^{3} + y^{3} = 18 x y$
1486	Find dy/dx	x^2+6y^2+6y=20	$x^{2} + 6 y^{2} + 6 y = 20$
1487	Find dy/dx	sin(x^2y^2)=x	$\sin (x^{2} y^{2}) = x$
1488	Find dy/dx	2xy+y^2=x+y	$2 x y + y^{2} = x + y$
1489	Evaluate the Integral	integral of cot(x)^2 with respect to x	$\int \cot^{2} (x) d x$
1490	Find dy/dx	e^(x/y)=x-y	$e^{\frac{x}{y}} = x - y$
1491	Find the Derivative - d/d@VAR	f(x)=2/(x^2)	$f (x) = \frac{2}{x^{2}}$
1492	Find dy/dx	y=x^x	$y = x^{x}$
1493	Find the Derivative - d/dx	e^( natural log of x)	$e^{\ln (x)}$
1494	Find the Derivative - d/dx	4 natural log of x	$4 \ln (x)$
1495	Find dy/dx	ysin(x^2)=xsin(y^2)	$y \sin (x^{2}) = x \sin (y^{2})$
1496	Find the Derivative - d/dz	y=sec(x)tan(x)	$y = \sec (x) \tan (x)$
1497	Find the Derivative - d/dx	2x^2+3x-2	$2 x^{2} + 3 x - 2$
1498	Find the Derivative - d/dx	tan(x)^4	$\tan^{4} (x)$
1499	Find the Derivative - d/dx	4sec(x)^2	$4 \sec^{2} (x)$
1500	Find the Derivative - d/dx	e^(-x/2)	$e^{- \frac{x}{2}}$