Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1701	Find the Derivative - d/dx	y = log base 2 of x	$y = \log_{2} (x)$
1702	Find the Derivative - d/dx	8/(3x^2)	$\frac{8}{3 x^{2}}$
1703	Find the Derivative - d/dx	y=8^x	$y = 8^{x}$
1704	Find the Derivative - d/dx	9x^3	$9 x^{3}$
1705	Find the Derivative - d/dx	y=cos(tan(x))	$y = \cos (\tan (x))$
1706	Find the Derivative - d/dx	y=4/(3x^2)	$y = \frac{4}{3 x^{2}}$
1707	Find the Derivative - d/dx	x^2-3x	$x^{2} - 3 x$
1708	Find the Derivative - d/dx	y = natural log of 9x^3-x^2	$y = \ln (9 x^{3} - x^{2})$
1709	Find the Derivative - d/dx	y = log of 6x	$y = \log (6 x)$
1710	Find the Derivative - d/dx	(2x^2)/5	$\frac{2 x^{2}}{5}$
1711	Find the Derivative - d/dx	x^2+2x+1	$x^{2} + 2 x + 1$
1712	Find the Derivative - d/dx	y=4-x^2	$y = 4 - x^{2}$
1713	Find the Derivative - d/dx	natural log of 4	$\ln (4)$
1714	Find the Derivative - d/dx	y=sin(4x)	$y = \sin (4 x)$
1715	Find the Derivative - d/dx	y=sin(3x)	$y = \sin (3 x)$
1716	Find the Derivative - d/dx	1/( square root of x^9)	$\frac{1}{\sqrt{x^{9}}}$
1717	Find the Derivative - d/dy	(1/(y^2)-3/(y^4))(y+5y^3)	$(\frac{1}{y^{2}} - \frac{3}{y^{4}}) (y + 5 y^{3})$
1718	Find the Integral	e^(x^3)	$e^{x^{3}}$
1719	Find the Integral	cos(x^2)	$\cos (x^{2})$
1720	Find the Integral	sin(5x)	$\sin (5 x)$
1721	Find the Integral	cos(theta)^2	$\cos^{2} (θ)$
1722	Find the Integral	1/(x^2+1)	$\frac{1}{x^{2} + 1}$
1723	Find the Integral	te^t	$t e^{t}$
1724	Find the Derivative Using Chain Rule - d/dx	cube root of x	$\sqrt[3]{x}$
1725	Find the Derivative - d/dx	(x/3.8+3.8/x)(x^2+1)	$(\frac{x}{3.8} + \frac{3.8}{x}) (x^{2} + 1)$
1726	Simplify	tan(arccos(( square root of 2)/2))	$\tan (\arccos (\frac{\sqrt{2}}{2}))$
1727	Simplify	( square root of x+h- square root of x)( square root of x+h+ square root of x)	$(\sqrt{x + h} - \sqrt{x}) (\sqrt{x + h} + \sqrt{x})$
1728	Multiply	(a+h)^3	${(a + h)}^{3}$
1729	Find the Derivative - d/dt	sin(t)^2	$\sin^{2} (t)$
1730	Find the Derivative - d/d@VAR	f(x)=x+2sin(x)	$f (x) = x + 2 \sin (x)$
1731	Find dy/dx	(4x+4y)^3=64x^3+64y^3	${(4 x + 4 y)}^{3} = 64 x^{3} + 64 y^{3}$
1732	Find the Inflection Points	f(x)=x^4-24x^2+12x	$f (x) = x^{4} - 24 x^{2} + 12 x$
1733	Find the Derivative - d/dx	( natural log of x)^(cos(x))	${(\ln (x))}^{\cos (x)}$
1734	Find the Derivative - d/d@VAR	f(x)=x^9	$f (x) = x^{9}$
1735	Find the Derivative - d/d@VAR	f(x)=cos(x)	$f (x) = \cos (x)$
1736	Find the Derivative - d/d@VAR	f(x)=(x^3-8)^(2/3)	$f (x) = {(x^{3} - 8)}^{\frac{2}{3}}$
1737	Find the Derivative - d/dx	x^2e^(3x)	$x^{2} e^{3 x}$
1738	Find the Derivative - d/dx	x^2sin(2x)	$x^{2} \sin (2 x)$
1739	Find the Derivative - d/dx	y=-9/((3x^2)^3)	$y = \frac{- 9}{{(3 x^{2})}^{3}}$
1740	Find the Derivative - d/dx	natural log of square root of x	$\ln (\sqrt{x})$
1741	Find the Derivative - d/dx	natural log of 1/x	$\ln (\frac{1}{x})$
1742	Find the Derivative - d/dx	2x+4	$2 x + 4$
1743	Find the Derivative - d/dx	2x natural log of x	$2 x \ln (x)$
1744	Find the Derivative - d/dx	square root of x-2 cube root of x	$\sqrt{x} - 2 \sqrt[3]{x}$
1745	Find the Derivative - d/dx	e^1	$e^{1}$
1746	Find the Derivative - d/dx	x/(x^2-9)	$\frac{x}{x^{2} - 9}$
1747	Find the Derivative - d/dx	(3x+2 square root of x+32/(x^2))	$(3 x + 2 \sqrt{x} + \frac{32}{x^{2}})$
1748	Find the Derivative - d/dx	(3x^2-7x-3)^2*16	${(3 x^{2} - 7 x - 3)}^{2016}$
1749	Find the Derivative - d/dx	square root of 3x+2cos(x)	$\sqrt{3} x + 2 \cos (x)$
1750	Find the Derivative - d/dx	( natural log of x)/(x^7)	$\frac{\ln (x)}{x^{7}}$
1751	Find the Derivative - d/dx	y=-csc(x)-sin(x)	$y = - \csc (x) - \sin (x)$
1752	Find the Derivative - d/dx	e^(9x)	$e^{9 x}$
1753	Find the Derivative - d/dx	(3x)/4	$\frac{3 x}{4}$
1754	Find the Derivative - d/dx	ax^2+bx+c	$a x^{2} + b x + c$
1755	Find the Derivative - d/dx	d/(dx)(5x^3)	$\frac{d}{d x} (5 x^{3})$
1756	Find the Derivative - d/dx	log base 9 of x	$\log_{9} (x)$
1757	Find the Derivative - d/dx	(x/3.6+3.6/x)(x^2+1)	$(\frac{x}{3.6} + \frac{3.6}{x}) (x^{2} + 1)$
1758	Find the Derivative - d/dx	e^(10x)	$e^{10 x}$
1759	Find the Derivative - d/dx	(x/3.5+3.5/x)(x^2+1)	$(\frac{x}{3.5} + \frac{3.5}{x}) (x^{2} + 1)$
1760	Find the Derivative - d/dx	(-4x)/((x^2-1)^2)	$\frac{- 4 x}{{(x^{2} - 1)}^{2}}$
1761	Find the Derivative - d/dx	8x^(1/2)	$8 x^{\frac{1}{2}}$
1762	Find the Derivative - d/dx	(x^2)/(x^2-9)	$\frac{x^{2}}{x^{2} - 9}$
1763	Find the Derivative - d/dx	y=4x^3	$y = 4 x^{3}$
1764	Find the Derivative - d/dx	(e^x+e^(-x))/2	$\frac{e^{x} + e^{- x}}{2}$
1765	Find the Derivative - d/dx	(e^x-e^(-x))/(e^x+e^(-x))	$\frac{e^{x} - e^{- x}}{e^{x} + e^{- x}}$
1766	Find the Derivative - d/dx	x^2+5x	$x^{2} + 5 x$
1767	Find the Derivative - d/dx	y=x^2e^x	$y = x^{2} e^{x}$
1768	Find the Derivative - d/dx	(x+8)(24/x+12)	$(x + 8) (\frac{24}{x} + 12)$
1769	Find the Derivative - d/dt	cube root of t^2+2 square root of t^3	$\sqrt[3]{t^{2}} + 2 \sqrt{t^{3}}$
1770	Simplify	((6y^3)^4)/(2y^9)	$\frac{{(6 y^{3})}^{4}}{2 y^{9}}$
1771	Solve for x	3x^2-12x+9=0	$3 x^{2} - 12 x + 9 = 0$
1772	Solve for V	V=4/3*(pr^3)	$V = \frac{4}{3} \cdot (p r^{3})$
1773	Solve for x	e^(-x)=0	$e^{- x} = 0$
1774	Find the Derivative - d/dx	(x^2-5x+2)(5x^3-x^2+5)	$(x^{2} - 5 x + 2) (5 x^{3} - x^{2} + 5)$
1775	Evaluate	natural log of natural log of x	$\ln (\ln (x))$
1776	Graph	natural log of 7x	$\ln (7 x)$
1777	Graph	natural log of y	$\ln (y)$
1778	Evaluate the Limit	limit as x approaches -1 of (x^2+2x+1)/(x^4-1)	$lim_{x \to - 1} \frac{x^{2} + 2 x + 1}{x^{4} - 1}$
1779	Find the Tangent Line at the Point	y=x^3-4x , (2,0)	$y = x^{3} - 4 x$ , $(2, 0)$
1780	Evaluate the Limit	( limit as x approaches 0 of square root of x+5- square root of 5)/x	$\frac{lim_{x \to 0} \sqrt{x + 5} - \sqrt{5}}{x}$
1781	Evaluate the Limit	( limit as x approaches 0 of 1-cos(x))/(sin(x))	$\frac{lim_{x \to 0} 1 - \cos (x)}{\sin (x)}$
1782	Evaluate the Limit	( limit as x approaches 0 of 1-cos(x))/(x^2)	$\frac{lim_{x \to 0} 1 - \cos (x)}{x^{2}}$
1783	Evaluate the Limit	( limit as x approaches 0 of sin(2x))/x	$\frac{lim_{x \to 0} \sin (2 x)}{x}$
1784	Evaluate the Limit	limit as x approaches 7 of ( square root of x+2-3)/(x-7)	$lim_{x \to 7} \frac{\sqrt{x + 2} - 3}{x - 7}$
1785	Find the Area Between the Curves	y=x , y = sixth root of x	$y = x$ , $y = \sqrt[6]{x}$
1786	Evaluate the Limit	limit as x approaches -8 of (x^2-64)/(x+8)	$lim_{x \to - 8} \frac{x^{2} - 64}{x + 8}$
1787	Evaluate the Limit	limit as x approaches 1 of cos((pix)/3)	$lim_{x \to 1} \cos (\frac{π x}{3})$
1788	Evaluate the Limit	limit as x approaches -1 of 5	$lim_{x \to - 1} 5$
1789	Evaluate the Limit	limit as x approaches 0 of 5	$lim_{x \to 0} 5$
1790	Evaluate the Limit	limit as x approaches 0 of sec(2x)	$lim_{x \to 0} \sec (2 x)$
1791	Evaluate the Limit	limit as x approaches 2 of (x^3-8)/(x^2-4)	$lim_{x \to 2} \frac{x^{3} - 8}{x^{2} - 4}$
1792	Evaluate the Limit	limit as x approaches 3 of (1/x-1/3)/(x-3)	$lim_{x \to 3} \frac{\frac{1}{x} - \frac{1}{3}}{x - 3}$
1793	Evaluate the Limit	limit as x approaches 0 of 100/(50x+1)	$lim_{x \to 0} \frac{100}{50 x + 1}$
1794	Evaluate the Limit	( limit as x approaches 5 of x^2-3x-10)/(x-5)	$\frac{lim_{x \to 5} x^{2} - 3 x - 10}{x - 5}$
1795	Evaluate the Limit	( limit as x approaches 5 of \|x-5\|)/(x-5)	$\frac{lim_{x \to 5} \| x - 5 \|}{x - 5}$
1796	Evaluate the Limit	( limit as x approaches 3 of \|x-3\|)/(x-3)	$\frac{lim_{x \to 3} \| x - 3 \|}{x - 3}$
1797	Evaluate the Limit	( limit as x approaches 4 of \|x-4\|)/(x-4)	$\frac{lim_{x \to 4} \| x - 4 \|}{x - 4}$
1798	Evaluate the Limit	( limit as x approaches 16 of square root of x-4)/(x-16)	$\frac{lim_{x \to 16} \sqrt{x} - 4}{x - 16}$
1799	Evaluate the Limit	( limit as x approaches 16 of x-16)/( square root of x-4)	$\frac{lim_{x \to 16} x - 16}{\sqrt{x} - 4}$
1800	Evaluate the Limit	limit as x approaches pi/2 of sec(x)-tan(x)	$lim_{x \to \frac{π}{2}} \sec (x) - \tan (x)$