Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6401	Solve for x	x/2-x/3>5	$\frac{x}{2} - \frac{x}{3} > 5$
6402	Solve for x	x^2+3x-4=14	$x^{2} + 3 x - 4 = 14$
6403	Solve for x	x^5-16x=0	$x^{5} - 16 x = 0$
6404	Solve for x	3x(x+2)=2	$3 x (x + 2) = 2$
6405	Solve for x	x = natural log of y	$x = \ln (y)$
6406	Solve for y	log base 3 of y+3 log base 3 of y^2=14	$\log_{3} (y) + 3 \log_{3} (y^{2}) = 14$
6407	Simplify	tan(8)	$\tan (8)$
6408	Simplify	cos(cos(x))	$\cos (\cos (x))$
6409	Simplify	x(90-x)(60-2x)	$x (90 - x) (60 - 2 x)$
6410	Simplify	x(11-2x)(19-2x)	$x (11 - 2 x) (19 - 2 x)$
6411	Simplify	x(200-x/30)	$x (200 - \frac{x}{30})$
6412	Simplify	x(23-2x)(23-2x)	$x (23 - 2 x) (23 - 2 x)$
6413	Simplify	x(36-x)(24-2x)	$x (36 - x) (24 - 2 x)$
6414	Simplify	x(54-x)(36-2x)	$x (54 - x) (36 - 2 x)$
6415	Simplify	x(81-x)(54-2x)	$x (81 - x) (54 - 2 x)$
6416	Solve for A	A=5000e	$A = 5000 e$
6417	Simplify	arcsin(9x)+arccos(9x)	$\arcsin (9 x) + \arccos (9 x)$
6418	Simplify	arcsin(-1)	$\arcsin (- 1)$
6419	Simplify	ah+ah	$a h + a h$
6420	Simplify	arctan(2x)	$\arctan (2 x)$
6421	Simplify	cos(x)sin(x)	$\cos (x) \sin (x)$
6422	Simplify	cos(arcsin(x/3))	$\cos (\arcsin (\frac{x}{3}))$
6423	Simplify	csc(x)cos(x)	$\csc (x) \cos (x)$
6424	Simplify	cot((3pi)/4)-cot(pi/4)	$\cot (\frac{3 π}{4}) - \cot (\frac{π}{4})$
6425	Simplify	sin(x^4)cos(4x)	$\sin (x^{4}) \cos (4 x)$
6426	Simplify	sin(2x)sin(x)	$\sin (2 x) \sin (x)$
6427	Simplify	sin(0)+cos(0)	$\sin (0) + \cos (0)$
6428	Find the Derivative - d/dx	( log base 8 of x)^2	${\log_{8}}^{2} (x)$
6429	Find the Derivative - d/dx	((3x-1)/(x^2+3))^2	${(\frac{3 x - 1}{x^{2} + 3})}^{2}$
6430	Find the Derivative - d/dx	(x-1)(x^2+2)^3	$(x - 1) {(x^{2} + 2)}^{3}$
6431	Find the Derivative - d/dx	(x^5-5x)/5	$\frac{x^{5} - 5 x}{5}$
6432	Find the Derivative - d/dx	((x+1)/(x-1))^3	${(\frac{x + 1}{x - 1})}^{3}$
6433	Find the Derivative - d/dx	(x^2-4)/(x-3)	$\frac{x^{2} - 4}{x - 3}$
6434	Find the Derivative - d/dx	(x^2-1)/x	$\frac{x^{2} - 1}{x}$
6435	Find the Derivative - d/dx	(-1)^x	${(- 1)}^{x}$
6436	Find the Derivative - d/dx	natural log of 2x^8	$\ln (2 x^{8})$
6437	Find the Derivative - d/dx	(x^3+1)(3x^2-4x+2)	$(x^{3} + 1) (3 x^{2} - 4 x + 2)$
6438	Find the Derivative - d/dx	2x+2	$2 x + 2$
6439	Find the Derivative - d/dx	3x-2	$3 x - 2$
6440	Find the Derivative - d/dx	(1+7x^2)(x-x^2)	$(1 + 7 x^{2}) (x - x^{2})$
6441	Find the Derivative - d/dx	1-2x	$1 - 2 x$
6442	Find the Derivative - d/dx	(x^2-2x-1)((x+1)/(x+3))	$(x^{2} - 2 x - 1) (\frac{x + 1}{x + 3})$
6443	Find the Derivative - d/dt	y=(t^3-7t^2+1)e^t	$y = (t^{3} - 7 t^{2} + 1) e^{t}$
6444	Find the Derivative - d/dt	t square root of 25-t^2	$t \sqrt{25 - t^{2}}$
6445	Find the Derivative - d/dt	tan( square root of 3t)	$\tan (\sqrt{3 t})$
6446	Find the Derivative - d/dt	y=2-6t	$y = 2 - 6 t$
6447	Find the Derivative - d/dt	y=t/((t-1)^2)	$y = \frac{t}{{(t - 1)}^{2}}$
6448	Find the Derivative - d/dt	y = fifth root of t+4 square root of t^5	$y = \sqrt[5]{t} + 4 \sqrt{t^{5}}$
6449	Find the Derivative - d/dt	y=4t^(4/3)	$y = 4 t^{\frac{4}{3}}$
6450	Find the Derivative - d/dt	(t- square root of t)/(t^(1/9))	$\frac{t - \sqrt{t}}{t^{\frac{1}{9}}}$
6451	Find the Derivative - d/dt	y=5-t	$y = 5 - t$
6452	Find the Derivative - d/dt	y=4^( square root of t)	$y = 4^{\sqrt{t}}$
6453	Find the Derivative - d/du	y=(e^(7u)-e^(-7u))/(e^(7u)+e^(-7u))	$y = \frac{e^{7 u} - e^{- 7 u}}{e^{7 u} + e^{- 7 u}}$
6454	Find the Derivative - d/du	y=e^(-u)cos(u)	$y = e^{- u} \cos (u)$
6455	Find the Derivative - d/du	cube root of u	$\sqrt[3]{u}$
6456	Find the Derivative - d/du	natural log of u	$\ln (u)$
6457	Find the Derivative - d/du	u^4	$u^{4}$
6458	Find the Derivative - d/du	2 square root of u	$2 \sqrt{u}$
6459	Find the Derivative - d/dt	y=t( natural log of 8t)^2	$y = t \ln^{2} (8 t)$
6460	Find the Derivative - d/dt	Pe^(rt)	$P e^{r t}$
6461	Find the Derivative - d/du	(e^(2u)-e^(-2u))/(e^(2u)+e^(-2u))	$\frac{e^{2 u} - e^{- 2 u}}{e^{2 u} + e^{- 2 u}}$
6462	Find the Derivative - d/du	(10u^2)/((u^2+u)^3)	$\frac{10 u^{2}}{{(u^{2} + u)}^{3}}$
6463	Find the Derivative - d/du	(8u^2)/((u^2+u)^3)	$\frac{8 u^{2}}{{(u^{2} + u)}^{3}}$
6464	Find the Derivative - d/du	u/v	$\frac{u}{v}$
6465	Find the Derivative - d/du	1/(u^2)	$\frac{1}{u^{2}}$
6466	Find the Derivative - d/du	1/u	$\frac{1}{u}$
6467	Find the Derivative - d/dv	(v^-3+7v^-2)^3	${(v^{- 3} + 7 v^{- 2})}^{3}$
6468	Find the Derivative - d/dw	5/(9w^4)+5 cube root of w	$\frac{5}{9 w^{4}} + 5 \sqrt[3]{w}$
6469	Find the Derivative - d/dw	e^(w^2)	$e^{w^{2}}$
6470	Find the Derivative - d/dt	g(t)=t^2-4/(t^3)	$g (t) = t^{2} - \frac{4}{t^{3}}$
6471	Find the Derivative - d/dt	h(t)=2.1+0.5t-1.1t^3	$h (t) = 2.1 + 0.5 t - 1.1 t^{3}$
6472	Find the Derivative - d/dt	k(t)=(t^2-6)^2	$k (t) = {(t^{2} - 6)}^{2}$
6473	Find the Derivative - d/dt	g(t)=1/((t^4+1)^3)	$g (t) = \frac{1}{{(t^{4} + 1)}^{3}}$
6474	Find the Derivative - d/dt	f(t)=6/( square root of t^2-9)	$f (t) = \frac{6}{\sqrt{t^{2} - 9}}$
6475	Find the Derivative - d/dt	f(t)=(9t+2)^(2/3)	$f (t) = {(9 t + 2)}^{\frac{2}{3}}$
6476	Find the Derivative - d/dt	f(t)=(2t+1)/(t+3)	$f (t) = \frac{2 t + 1}{t + 3}$
6477	Find the Derivative - d/dt	csc(t)	$\csc (t)$
6478	Find the Derivative - d/dt	2t^3+6t-4/(t^2)	$2 t^{3} + 6 t - \frac{4}{t^{2}}$
6479	Find the Derivative - d/dt	2-6t	$2 - 6 t$
6480	Find the Derivative - d/dt	2-5t	$2 - 5 t$
6481	Find the Derivative - d/dt	2(t^2+11t)^-7	$2 {(t^{2} + 11 t)}^{- 7}$
6482	Find the Derivative - d/dt	2t^(-3/4)	$2 t^{- \frac{3}{4}}$
6483	Find the Derivative - d/dt	2e^t	$2 e^{t}$
6484	Find the Derivative - d/dt	3te^(-t)	$3 t e^{- t}$
6485	Find the Derivative - d/dt	4t^2	$4 t^{2}$
6486	Find the Derivative - d/dt	300-300t^-1	$300 - 300 t^{- 1}$
6487	Find the Derivative - d/dt	-32t	$- 32 t$
6488	Find the Derivative - d/dx	(x^5)/20	$\frac{x^{5}}{20}$
6489	Find the Derivative - d/dx	(x^4)/6	$\frac{x^{4}}{6}$
6490	Find the Derivative - d/dx	(x^3-6)/(x^2)	$\frac{x^{3} - 6}{x^{2}}$
6491	Find the Derivative - d/dx	(x^2-8)/(x-3)	$\frac{x^{2} - 8}{x - 3}$
6492	Find the Derivative - d/dx	(x^3)/18	$\frac{x^{3}}{18}$
6493	Find the Derivative - d/dx	(x^3)/5-3x	$\frac{x^{3}}{5} - 3 x$
6494	Find the Derivative - d/dx	(1-xe^x)/(x+e^x)	$\frac{1 - x e^{x}}{x + e^{x}}$
6495	Find the Derivative - d/dx	\|sin(x)\|	$\| \sin (x) \|$
6496	Find the Derivative - d/dx	\|x\|60+\|x-10\|50+\|30-2x\|*60	$\| x \| \cdot 60 + \| x - 10 \| \cdot 50 + \| 30 - 2 x \| \cdot 60$
6497	Find the Derivative - d/dx	1/((1-x)^2)	$\frac{1}{{(1 - x)}^{2}}$
6498	Find the Derivative - d/dx	1/(e^(x^2))	$\frac{1}{e^{x^{2}}}$
6499	Find the Derivative - d/dx	1/x+5sin(x)	$\frac{1}{x} + 5 \sin (x)$
6500	Find the Derivative - d/dx	1/(cot(x))	$\frac{1}{\cot (x)}$