Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1601	Evaluate the Integral	integral from 1 to 5 of x^2 with respect to x	$\int_{1}^{5} x^{2} d x$
1602	Evaluate	10.2/( square root of 36.0+(10.2)^2)*(440)	$\frac{10.2}{\sqrt{36 + {(10.2)}^{2}}} \cdot (440)$
1603	Find the Derivative of the Integral	integral of 12x(x^2+3)^5 with respect to x	$\int 12 x {(x^{2} + 3)}^{5} d x$
1604	Find the Derivative of the Integral	integral of cube root of x^2 with respect to x	$\int \sqrt[3]{x^{2}} d x$
1605	Evaluate the Integral	integral of 1/(x^2-1) with respect to x	$\int \frac{1}{x^{2} - 1} d x$
1606	Evaluate the Limit	limit as x approaches infinity of square root of 4x^2+x-2x	$lim_{x \to \infty} \sqrt{4 x^{2} + x} - 2 x$
1607	Evaluate the Limit	( limit as x approaches 0 of 3x-sin(3x))/(3x-tan(3x))	$\frac{lim_{x \to 0} 3 x - \sin (3 x)}{3 x - \tan (3 x)}$
1608	Evaluate the Integral	integral of u^2 square root of u^3+2 with respect to u	$\int u^{2} \sqrt{u^{3} + 2} d u$
1609	Evaluate the Integral	integral from 0 to pi of xsin(x) with respect to x	$\int_{0}^{π} x \sin (x) d x$
1610	Find the Critical Points	f(x)=x+1/x	$f (x) = x + \frac{1}{x}$
1611	Find the Horizontal Tangent Line	x^2+y^2=-2x	$x^{2} + y^{2} = - 2 x$
1612	Find the Horizontal Tangent Line	x^2+y^2=-12x	$x^{2} + y^{2} = - 12 x$
1613	Find the Horizontal Tangent Line	x^2+y^2=20x	$x^{2} + y^{2} = 20 x$
1614	Find the Horizontal Tangent Line	x^2+y^2=6x	$x^{2} + y^{2} = 6 x$
1615	Find the Horizontal Tangent Line	y=x^3-3x^2+1	$y = x^{3} - 3 x^{2} + 1$
1616	Find Where dy/dx is Equal to Zero	x^3+3x^2y+y^3=8	$x^{3} + 3 x^{2} y + y^{3} = 8$
1617	Evaluate	square root of 5^2+(-4)^2	$\sqrt{5^{2} + {(- 4)}^{2}}$
1618	Evaluate	tan(3)	$\tan (3)$
1619	Find the Critical Points	f(x)=(4x)/(x^2+1)	$f (x) = \frac{4 x}{x^{2} + 1}$
1620	Find the Critical Points	f(x)=x^6-6x^5	$f (x) = x^{6} - 6 x^{5}$
1621	Find the Derivative - d/dx	( square root of 10)/(x^7)	$\frac{\sqrt{10}}{x^{7}}$
1622	Find the Derivative - d/dx	x^3+x	$x^{3} + x$
1623	Evaluate the Integral	integral of x^4sin(x^5) with respect to x	$\int x^{4} \sin (x^{5}) d x$
1624	Evaluate the Integral	integral of (e^x)/(1+e^x) with respect to x	$\int \frac{e^{x}}{1 + e^{x}} d x$
1625	Find the Derivative - d/dx	x natural log of x-x	$x \ln (x) - x$
1626	Find the Derivative - d/dx	8x^3	$8 x^{3}$
1627	Find dy/dx	e^(x^2+y)=x+y	$e^{x^{2} + y} = x + y$
1628	Find dy/dx	x^2y^2=36	$x^{2} y^{2} = 36$
1629	Find dy/dx	x^2+y^2=36	$x^{2} + y^{2} = 36$
1630	Evaluate the Integral	integral of cos(x)^5 with respect to x	$\int \cos^{5} (x) d x$
1631	Find dy/dx	x^3+y^3=6xy	$x^{3} + y^{3} = 6 x y$
1632	Find dy/dx	2x^2-3y^2=5	$2 x^{2} - 3 y^{2} = 5$
1633	Evaluate the Limit	limit as x approaches infinity of f(x)	$lim_{x \to \infty} f (x)$
1634	Find the Derivative - d/dx	( square root of x)^x	${(\sqrt{x})}^{x}$
1635	Find dv/dp	v=4/3*(pr^3)	$v = \frac{4}{3} \cdot (p r^{3})$
1636	Find dy/dx	2 square root of x+ square root of y=3	$2 \sqrt{x} + \sqrt{y} = 3$
1637	Find the Derivative - d/dx	2cos(2x)	$2 \cos (2 x)$
1638	Evaluate the Limit	limit as x approaches 5 of (x^2-6x+5)/(x-5)	$lim_{x \to 5} \frac{x^{2} - 6 x + 5}{x - 5}$
1639	Find the Integral	e^t	$e^{t}$
1640	Find the Integral	(x-1)(x^2-2x+5)^5	$(x - 1) {(x^{2} - 2 x + 5)}^{5}$
1641	Find the Derivative - d/d@VAR	f(x)=x^2+2	$f (x) = x^{2} + 2$
1642	Find the Derivative - d/d@VAR	f(x)=2x^3	$f (x) = 2 x^{3}$
1643	Find the Derivative - d/d@VAR	f(x)=e^(3x)	$f (x) = e^{3 x}$
1644	Find the Derivative - d/d@VAR	f(x)=7x^2	$f (x) = 7 x^{2}$
1645	Find the Derivative - d/d@VAR	f(x)=2x^2-9x+10	$f (x) = 2 x^{2} - 9 x + 10$
1646	Find the Derivative - d/d@VAR	f(r)=4/3pir^3	$f (r) = \frac{4}{3} π r^{3}$
1647	Find the Derivative - d/d@VAR	f(x)=2x^2-7x+5	$f (x) = 2 x^{2} - 7 x + 5$
1648	Find the Derivative - d/d@VAR	f(x)=(x^2+10)^6	$f (x) = {(x^{2} + 10)}^{6}$
1649	Find the Derivative - d/dx	e^(tan(x))	$e^{\tan (x)}$
1650	Find the Derivative - d/dx	f(x)=x^10	$f (x) = x^{10}$
1651	Evaluate the Summation	sum from n=0 to 4 of (n^2)/2	$\sum_{n = 0}^{4} \frac{n^{2}}{2}$
1652	Simplify	( square root of x-5)/(x-25)	$\frac{\sqrt{x} - 5}{x - 25}$
1653	Evaluate the Limit	limit as x approaches 49 of (7- square root of x)/(49x-x^2)	$lim_{x \to 49} \frac{7 - \sqrt{x}}{49 x - x^{2}}$
1654	Find the Inflection Points	x^4-6x^2+5	$x^{4} - 6 x^{2} + 5$
1655	Find the Derivative - d/dx	f(x)=e^(3x)	$f (x) = e^{3 x}$
1656	Find the Derivative - d/dx	f(x)=e^(-x^2)	$f (x) = e^{- x^{2}}$
1657	Find the Derivative - d/dx	f(x)=e^x natural log of x	$f (x) = e^{x} \ln (x)$
1658	Find the Derivative - d/dx	f(x)=5^x	$f (x) = 5^{x}$
1659	Find the Derivative - d/dx	f(x)=x^8	$f (x) = x^{8}$
1660	Find the Derivative - d/dx	cot(3x)	$\cot (3 x)$
1661	Find the Derivative - d/dx	cos(x^3)	$\cos (x^{3})$
1662	Find the Derivative - d/dx	9^x	$9^{x}$
1663	Find the Derivative - d/dx	\|x-4\|	$\| x - 4 \|$
1664	Find the Derivative - d/dx	4/(x^3)	$\frac{4}{x^{3}}$
1665	Find the Derivative - d/dx	arcsin(2x)	$\arcsin (2 x)$
1666	Find the Derivative - d/dx	1/(8x^2)	$\frac{1}{8 x^{2}}$
1667	Find the Derivative - d/dx	6e^xcos(x)	$6 e^{x} \cos (x)$
1668	Find the Derivative - d/dx	f(x)=(2x^2-3x+1)/x	$f (x) = \frac{2 x^{2} - 3 x + 1}{x}$
1669	Find the Derivative - d/dx	log of x^2	$\log (x^{2})$
1670	Find the Derivative - d/dx	log of 6x	$\log (6 x)$
1671	Find the Derivative - d/dx	-2/(x^2)	$- \frac{2}{x^{2}}$
1672	Find the Derivative - d/dx	sec(3x)	$\sec (3 x)$
1673	Find the Derivative - d/dx	9e^x square root of x	$9 e^{x} \sqrt{x}$
1674	Find the Derivative - d/dx	f(x) = natural log of 3x	$f (x) = \ln (3 x)$
1675	Find the Derivative - d/dx	f(x)=sin(x)cos(x)	$f (x) = \sin (x) \cos (x)$
1676	Find the Derivative - d/dx	f(x)=x square root of x	$f (x) = x \sqrt{x}$
1677	Find the Derivative - d/dx	f(x)=x+1	$f (x) = x + 1$
1678	Find the Derivative - d/dx	f(x)=x natural log of x-x	$f (x) = x \ln (x) - x$
1679	Find the Derivative - d/dx	e^(-x^3)	$e^{- x^{3}}$
1680	Find the Derivative - d/dx	natural log of x^x	$\ln (x^{x})$
1681	Find the Derivative - d/dx	natural log of x^2+9	$\ln (x^{2} + 9)$
1682	Find the Derivative - d/dx	x^2(1-9x)	$x^{2} (1 - 9 x)$
1683	Find the Derivative - d/dx	1/( cube root of x)	$\frac{1}{\sqrt[3]{x}}$
1684	Find the Derivative - d/dx	3(4-9x)^4	$3 {(4 - 9 x)}^{4}$
1685	Find the Derivative - d/dx	e^x+e^(-x)	$e^{x} + e^{- x}$
1686	Find the Derivative - d/dx	tan(5x)	$\tan (5 x)$
1687	Find the Derivative - d/dx	y = cube root of 1+4x	$y = \sqrt[3]{1 + 4 x}$
1688	Find the Derivative - d/dx	y = square root of 3-5x	$y = \sqrt{3 - 5 x}$
1689	Find the Derivative - d/dx	2sin(x)^2	$2 \sin^{2} (x)$
1690	Find the Derivative - d/dx	y = fourth root of x	$y = \sqrt[4]{x}$
1691	Find the Derivative - d/dx	x(x^2-8/x)	$x (x^{2} - \frac{8}{x})$
1692	Find the Derivative - d/dx	y=2x^2	$y = 2 x^{2}$
1693	Find the Derivative - d/dx	y=x^(6cos(x))	$y = x^{6 \cos (x)}$
1694	Find the Derivative - d/dx	natural log of 9x	$\ln (9 x)$
1695	Find the Derivative - d/dx	y=x^2sin(4x)	$y = x^{2} \sin (4 x)$
1696	Find the Derivative - d/dx	y=(x+6)(x/(x+1))	$y = (x + 6) (\frac{x}{x + 1})$
1697	Find the Derivative - d/dx	y=sin(tan(6x))	$y = \sin (\tan (6 x))$
1698	Find the Derivative - d/dx	(5x^2-9x+13)/(2x+4)	$\frac{5 x^{2} - 9 x + 13}{2 x + 4}$
1699	Find the Derivative - d/dx	5/(x^3)	$\frac{5}{x^{3}}$
1700	Find the Derivative - d/dx	y=( natural log of x)/(x^3)	$y = \frac{\ln (x)}{x^{3}}$