Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6901	Find the Derivative - d/d@VAR	f(x)=sin(x^5)	$f (x) = \sin (x^{5})$
6902	Find the Derivative - d/d@VAR	f(x)=tan((pix)/2)	$f (x) = \tan (\frac{π x}{2})$
6903	Find the Derivative - d/d@VAR	f(x)=x^4e^x	$f (x) = x^{4} e^{x}$
6904	Find the Derivative - d/d@VAR	f(x)=2x^3+4x^2	$f (x) = 2 x^{3} + 4 x^{2}$
6905	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of 8x	$f (x) = \ln (\ln (8 x))$
6906	Find the Derivative - d/dd	(dx)/(dt)	$\frac{d x}{d t}$
6907	Find the Derivative - d/dd	dcos(t)+t^2sin(t)	dcos $(t) + t^{2} \sin (t)$
6908	Find the Derivative - d/dd	y=1/(d+ke^d)	$y = \frac{1}{d + k e^{d}}$
6909	Find the Derivative - d/dc	cy^-6	$c y^{- 6}$
6910	Find the Derivative - d/da	(4a+1)^2	${(4 a + 1)}^{2}$
6911	Find the Derivative - d/da	a/x	$\frac{a}{x}$
6912	Find the Derivative - d/da	y=a^5+cos(x)^5	$y = a^{5} + \cos^{5} (x)$
6913	Find the Derivative - d/d?	y=cot(cos(x))^2	$y = \cot^{2} (\cos (x))$
6914	Find the Derivative - d/da	a^2+b^2+(a^2+b^2)	$a^{2} + b^{2} + (a^{2} + b^{2})$
6915	Find the Derivative - d/d@VAR	f(x)=x^8 square root of 5-3x	$f (x) = x^{8} \sqrt{5 - 3 x}$
6916	Find the Derivative - d/d@VAR	s(t)=2t^2+8t	$s (t) = 2 t^{2} + 8 t$
6917	Find the Derivative - d/dI	8/0	$\frac{8}{0}$
6918	Find the Derivative - d/dh	square root of 4+h	$\sqrt{4 + h}$
6919	Find the Derivative - d/dg	gs	$g s$
6920	Find the Derivative - d/df	f(x) square root of 3x-1	$f (x) \sqrt{3 x - 1}$
6921	Find the Derivative - d/dk	y=e^(kx)	$y = e^{k x}$
6922	Find the Derivative - d/dn	3^n	$3^{n}$
6923	Find the Derivative - d/dq	8.6-1/440q	$8.6 - \frac{1}{440} q$
6924	Find the Derivative - d/dq	(sin(q)+cos(q))/(sin(q))	$\frac{\sin (q) + \cos (q)}{\sin (q)}$
6925	Find the Derivative - d/dr	e^r	$e^{r}$
6926	Find the Derivative - d/dr	r/( square root of r^2+4)	$\frac{r}{\sqrt{r^{2} + 4}}$
6927	Find the Derivative - d/dr	4 square root of r	$4 \sqrt{r}$
6928	Find the Derivative - d/dr	y=pr^2	$y = p r^{2}$
6929	Find the Derivative - d/dr	y=(r^2-7r)e^r	$y = (r^{2} - 7 r) e^{r}$
6930	Find the Derivative - d/ds	1/(4s^3)-5/(2s)	$\frac{1}{4 s^{3}} - \frac{5}{2 s}$
6931	Find the Derivative - d/ds	1/s	$\frac{1}{s}$
6932	Find the Derivative - d/dt	2/(t^2)	$\frac{2}{t^{2}}$
6933	Find the Derivative - d/dt	(4t)/3	$\frac{4 t}{3}$
6934	Find the Derivative - d/dt	3/(t^4)	$\frac{3}{t^{4}}$
6935	Find the Derivative - d/dt	7/t	$\frac{7}{t}$
6936	Find the Derivative - d/dt	t^12 natural log of t	$t^{12} \ln (t)$
6937	Find the Derivative - d/dt	t^2+1	$t^{2} + 1$
6938	Find the Derivative - d/dt	-t^3+15t^2-72t	$- t^{3} + 15 t^{2} - 72 t$
6939	Find the Derivative - d/dt	t^3e^t	$t^{3} e^{t}$
6940	Find the Derivative - d/dt	square root of t^2+1	$\sqrt{t^{2} + 1}$
6941	Find the Derivative - d/dt	te^(-t/4)	$t e^{- \frac{t}{4}}$
6942	Find the Derivative - d/dt	square root of 2t+1	$\sqrt{2 t + 1}$
6943	Find the Derivative - d/dt	( natural log of t)/t	$\frac{\ln (t)}{t}$
6944	Find the Derivative - d/dt	e^(tan(pit))	$e^{\tan (π t)}$
6945	Find the Derivative - d/dt	( natural log of t)/(t^2)	$\frac{\ln (t)}{t^{2}}$
6946	Find the Derivative - d/dt	t^10 natural log of t	$t^{10} \ln (t)$
6947	Find the Derivative - d/dt	t^(3/4)-3t^(1/4)	$t^{\frac{3}{4}} - 3 t^{\frac{1}{4}}$
6948	Find the Derivative - d/dt	t/(t^2+4)	$\frac{t}{t^{2} + 4}$
6949	Find the Derivative - d/dt	e^(6tsin(2t))	$e^{6 t \sin (2 t)}$
6950	Find the Derivative - d/dt	e^(-t^2)	$e^{- t^{2}}$
6951	Find the Derivative - d/dt	d/(dt)*t^(-p^2)	$\frac{d}{d t} \cdot t^{- p^{2}}$
6952	Find the Derivative - d/dt	(t^2-8)^2	${(t^{2} - 8)}^{2}$
6953	Find the Derivative - d/dt	( square root of 5)/(t^6)	$\frac{\sqrt{5}}{t^{6}}$
6954	Find the Derivative - d/dt	(t^2-1)/(t^2+1)	$\frac{t^{2} - 1}{t^{2} + 1}$
6955	Find the Derivative - d/dt	1/( square root of t)	$\frac{1}{\sqrt{t}}$
6956	Find the Derivative - d/dt	-1/(t^2)	$- \frac{1}{t^{2}}$
6957	Find the Derivative - d/dt	1/(1+t)	$\frac{1}{1 + t}$
6958	Find the Derivative - d/dt	(1+ natural log of t)/(1- natural log of t)	$\frac{1 + \ln (t)}{1 - \ln (t)}$
6959	Find the Derivative - d/ds	y=1/(s+ke^s)	$y = \frac{1}{s + k e^{s}}$
6960	Find the Derivative - d/dt	(0.1t+1) natural log of square root of t	$(0.1 t + 1) \ln (\sqrt{t})$
6961	Find the Derivative - d/dt	(3t-1)(6t-4)^-1	$(3 t - 1) {(6 t - 4)}^{- 1}$
6962	Find the Derivative - d/dt	((t-2)/(2t+1))^9	${(\frac{t - 2}{2 t + 1})}^{9}$
6963	Simplify	((7(-1+h)^2+5(-1+h))-(7(-1)^2+5(-1)))/h	$\frac{(7 {(- 1 + h)}^{2} + 5 (- 1 + h)) - (7 {(- 1)}^{2} + 5 (- 1))}{h}$
6964	Simplify	((x+h)^3-x^3)/h	$\frac{{(x + h)}^{3} - x^{3}}{h}$
6965	Simplify	(1/2*(2x+5)^(-3/2))/(3/2)	$\frac{\frac{1}{2} \cdot {(2 x + 5)}^{- \frac{3}{2}}}{\frac{3}{2}}$
6966	Simplify	(1/(3+x)-1/3)/x	$\frac{\frac{1}{3 + x} - \frac{1}{3}}{x}$
6967	Simplify	(a^(x-h)-a^x)/h	$\frac{a^{x - h} - a^{x}}{h}$
6968	Simplify	(e^-3.3(3.3)^2)/2	$\frac{e^{- 3.3} {(3.3)}^{2}}{2}$
6969	Multiply	(x^4+9)^8(4x^3dx)	${(x^{4} + 9)}^{8} (4 x^{3} d x)$
6970	Multiply	(x^2+y^2)^2	${(x^{2} + y^{2})}^{2}$
6971	Solve for x	7x^2+x=6	$7 x^{2} + x = 6$
6972	Simplify	( square root of 3)/(2 square root of 2/3)	$\frac{\sqrt{3}}{2 \sqrt{\frac{2}{3}}}$
6973	Simplify	( square root of x-2)/(x-4)	$\frac{\sqrt{x} - 2}{x - 4}$
6974	Simplify	( cube root of 5x)/(27y^12)	$\frac{\sqrt[3]{5 x}}{27 y^{12}}$
6975	Simplify	square root of 49-x^2	$\sqrt{49 - x^{2}}$
6976	Simplify	square root of xy	$\sqrt{x y}$
6977	Simplify	cube root of e^5	$\sqrt[3]{e^{5}}$
6978	Simplify	square root of x-3	$\sqrt{x - 3}$
6979	Simplify	square root of 81x^10y^-6	$\sqrt{81 x^{10} y^{- 6}}$
6980	Simplify	square root of xdx	$\sqrt{x} d x$
6981	Simplify	(x-9)/( square root of x-3)	$\frac{x - 9}{\sqrt{x} - 3}$
6982	Simplify	(ab-a)/(b^2-b)	$\frac{a b - a}{b^{2} - b}$
6983	Simplify	square root of e^(2x)	$\sqrt{e^{2 x}}$
6984	Divide	(y^9(y^2x^-4)^-2)/((3y^2)^4x^2)	$\frac{y^{9} {(y^{2} x^{- 4})}^{- 2}}{{(3 y^{2})}^{4} x^{2}}$
6985	Find the Domain	y = log of 2x-12	$y = \log (2 x - 12)$
6986	Split Using Partial Fraction Decomposition	(3x-1)/((x-3)(x+6))	$\frac{3 x - 1}{(x - 3) (x + 6)}$
6987	Split Using Partial Fraction Decomposition	(x-3)/(x^3+3x)	$\frac{x - 3}{x^{3} + 3 x}$
6988	Find dy/dx	y^3=x^4	$y^{3} = x^{4}$
6989	Find the Domain	g(t) = square root of 1-2^t	$g (t) = \sqrt{1 - 2^{t}}$
6990	Find the Domain	g(x) = square root of 1-x	$g (x) = \sqrt{1 - x}$
6991	Find the Domain	f(x) = square root of 3-x- square root of 2+x	$f (x) = \sqrt{3 - x} - \sqrt{2 + x}$
6992	Find the Domain	f(x) = natural log of x-9	$f (x) = \ln (x - 9)$
6993	Find the Domain	f(x)=7x^4-42x^2	$f (x) = 7 x^{4} - 42 x^{2}$
6994	Find the Domain	(dy)/(dx)*y=x^2e^x	$\frac{d y}{d x} \cdot y = x^{2} e^{x}$
6995	Find the Domain	square root of 1-3^t	$\sqrt{1 - 3^{t}}$
6996	Find the Domain	square root of x+15	$\sqrt{x + 15}$
6997	Simplify	( square root of x+5- square root of 5)/x	$\frac{\sqrt{x + 5} - \sqrt{5}}{x}$
6998	Simplify	sin( square root of 1+cos(x))	$\sin (\sqrt{1 + \cos (x)})$
6999	Simplify	csc( square root of 3)	$\csc (\sqrt{3})$
7000	Simplify	( square root of x+h+5- square root of x+5)/h	$\frac{(\sqrt{x + h + 5} - \sqrt{x + 5})}{h}$