Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
64401	Find the Absolute Max and Min over the Interval	f(x)=9x^3-54x^2+81x+13 ; [-6,2]	$f (x) = 9 x^{3} - 54 x^{2} + 81 x + 13$ ; $[- 6, 2]$
64402	Find the Derivative - d/dt	3t^2-12t+9	$3 t^{2} - 12 t + 9$
64403	Find the Derivative - d/dt	t^9(t^6-4)^6	$t^{9} {(t^{6} - 4)}^{6}$
64404	Find the Derivative - d/dt	t^3-6t^2+9t	$t^{3} - 6 t^{2} + 9 t$
64405	Find the Derivative - d/dt	(1-3t)/(6+t)	$\frac{1 - 3 t}{6 + t}$
64406	Find the Derivative - d/d@VAR	s(t)=(6t)/(sin(t))	$s (t) = \frac{6 t}{\sin (t)}$
64407	Find the Derivative - d/d@VAR	h(x)=x^2e^(3x)	$h (x) = x^{2} e^{3 x}$
64408	Find the Derivative - d/d@VAR	h(x)=x^2e^(8x)	$h (x) = x^{2} e^{8 x}$
64409	Find the Derivative - d/d@VAR	h(z)=(5-z^2)(z^3-2z+4)	$h (z) = (5 - z^{2}) (z^{3} - 2 z + 4)$
64410	Find the Derivative - d/d@VAR	p(y)=(y^-1+y^-2)(3y^-3-8y^-4)	$p (y) = (y^{- 1} + y^{- 2}) (3 y^{- 3} - 8 y^{- 4})$
64411	Find the Derivative - d/d@VAR	h(x)=x^2 log base 3 of x-pi	$h (x) = x^{2} \log_{3} (x - π)$
64412	Find the Derivative - d/d@VAR	m(t)=-7t(3t^5-1)^4	$m (t) = - 7 t {(3 t^{5} - 1)}^{4}$
64413	Find the Derivative - d/d@VAR	p(x)=(6x-7)(9x-8)	$p (x) = (6 x - 7) (9 x - 8)$
64414	Find the Derivative - d/d@VAR	h(r)=(r^2+5r-9)/(7r-6)	$h (r) = \frac{r^{2} + 5 r - 9}{7 r - 6}$
64415	Find the Derivative - d/d@VAR	h(x)=15^(x^15)	$h (x) = 15^{x^{15}}$
64416	Find the Derivative - d/d@VAR	h(t) = sixth root of t-6e^t	$h (t) = \sqrt[6]{t} - 6 e^{t}$
64417	Find the Derivative - d/d@VAR	f(x)=x^(3(x-4))	$f (x) = x^{3 (x - 4)}$
64418	Find the Derivative - d/d@VAR	f(x)=x^2-2x-3	$f (x) = x^{2} - 2 x - 3$
64419	Find the Derivative - d/d@VAR	f(x)=x^2-2x+3	$f (x) = x^{2} - 2 x + 3$
64420	Find the Derivative - d/d@VAR	f(x)=x^2-4x+4	$f (x) = x^{2} - 4 x + 4$
64421	Find the Derivative - d/d@VAR	f(x)=x^2-3x+5	$f (x) = x^{2} - 3 x + 5$
64422	Find the Derivative - d/d@VAR	f(x)=x^2+3x-5	$f (x) = x^{2} + 3 x - 5$
64423	Find the Derivative - d/d@VAR	f(x)=x^2*g(x)	$f (x) = x^{2} \cdot g (x)$
64424	Find the Derivative - d/d@VAR	f(x)=x^4e^(-x)	$f (x) = x^{4} e^{- x}$
64425	Find the Derivative - d/d@VAR	f(x)=x-4	$f (x) = x - 4$
64426	Find the Derivative - d/d@VAR	f(x)=x^6e^(5x)	$f (x) = x^{6} e^{5 x}$
64427	Find the Derivative - d/d@VAR	g(theta)=e^theta(tan(theta)-theta)	$g (θ) = e^{θ} (\tan (θ) - θ)$
64428	Find the Derivative - d/d@VAR	g(t)=t^5cos(t)	$g (t) = t^{5} \cos (t)$
64429	Find the Derivative - d/d@VAR	g(t)=(1-2t)/(5+t)	$g (t) = \frac{1 - 2 t}{5 + t}$
64430	Find the Derivative - d/du	u = fifth root of t+4 square root of t^5	$u = \sqrt[5]{t} + 4 \sqrt{t^{5}}$
64431	Find the Derivative - d/dy	x^2y^3	$x^{2} y^{3}$
64432	Find the Derivative - d/dy	y^2e^(xy)	$y^{2} e^{x y}$
64433	Find the Derivative - d/dy	y(u)	$y (u)$
64434	Find the Derivative - d/dz	e^(z/(z-5))	$e^{\frac{z}{(z - 5)}}$
64435	Find the Derivative - d/d@VAR	f(x)=(x^3+2)e^x	$f (x) = (x^{3} + 2) e^{x}$
64436	Find the Derivative - d/d@VAR	f(x) = natural log of 8x^2-4x+11	$f (x) = \ln (8 x^{2} - 4 x + 11)$
64437	Find the Derivative - d/d@VAR	f(x)=cos( square root of sin(cot(pix)))	$f (x) = \cos (\sqrt{\sin (\cot (π x))})$
64438	Find the Derivative - d/d@VAR	f(x) = square root of x+ cube root of x^2	$f (x) = \sqrt{x} + \sqrt[3]{x^{2}}$
64439	Find the Derivative - d/d@VAR	f(x)=10 square root of x	$f (x) = 10 \sqrt{x}$
64440	Find the Derivative - d/d@VAR	f(x)=tan(2x^2)	$f (x) = \tan (2 x^{2})$
64441	Find the Derivative - d/d@VAR	f(x)=pi^3	$f (x) = π^{3}$
64442	Find the Derivative - d/d@VAR	f(x)=pix	$f (x) = π x$
64443	Find the Derivative - d/d@VAR	f(x) = square root of cos(7x)	$f (x) = \sqrt{\cos (7 x)}$
64444	Find the Derivative - d/d@VAR	f(x)=sin(cos(x))	$f (x) = \sin (\cos (x))$
64445	Find the Derivative - d/d@VAR	f(x)=(x^2-64)/(x-8)	$f (x) = \frac{x^{2} - 64}{x - 8}$
64446	Find the Derivative - d/d@VAR	f(x)=(Kx)/(A+x)	$f (x) = \frac{K x}{(A + x)}$
64447	Find the Derivative - d/d@VAR	f(x)=64/x	$f (x) = \frac{64}{x}$
64448	Find the Derivative - d/d@VAR	f(x)=(6x)/(7e^(5x))	$f (x) = \frac{6 x}{7 e^{5 x}}$
64449	Find the Derivative - d/d@VAR	f(x)=(9x^6+2x^3)^4	$f (x) = {(9 x^{6} + 2 x^{3})}^{4}$
64450	Find the Derivative - d/d@VAR	f(x)=8/( cube root of x)+5cos(x)	$f (x) = \frac{8}{\sqrt[3]{x}} + 5 \cos (x)$
64451	Find the Derivative - d/d@VAR	f(x)=(3x^2-4x)e^x	$f (x) = (3 x^{2} - 4 x) e^{x}$
64452	Find the Derivative - d/d@VAR	f(x)=(3x^2-4x+75)^9	$f (x) = {(3 x^{2} - 4 x + 75)}^{9}$
64453	Find the Derivative - d/d@VAR	f(x)=(3x^6+4x^3)^4	$f (x) = {(3 x^{6} + 4 x^{3})}^{4}$
64454	Find the Derivative - d/d@VAR	f(x)=48/x	$f (x) = \frac{48}{x}$
64455	Find the Derivative - d/d@VAR	f(x)=sin(2x)	$f (x) = \sin (2 x)$
64456	Find the Derivative - d/d@VAR	f(x)=sin(x) natural log of 9x	$f (x) = \sin (x) \ln (9 x)$
64457	Find the Derivative - d/d@VAR	f(x) = natural log of x+ square root of 1+x^2	$f (x) = \ln (x + \sqrt{1 + x^{2}})$
64458	Find the Derivative - d/d@VAR	f(x)=e^(-14x)	$f (x) = e^{- 14 x}$
64459	Find the Derivative - d/d@VAR	f(x)=e^pi	$f (x) = e^{π}$
64460	Find the Derivative - d/d@VAR	f(x)=8xe^xcsc(x)	$f (x) = 8 x e^{x} \csc (x)$
64461	Find the Derivative - d/d@VAR	f(x)=9e^(9x+7)	$f (x) = 9 e^{9 x + 7}$
64462	Find the Derivative - d/d@VAR	f(x)=e^xcos(x)	$f (x) = e^{x} \cos (x)$
64463	Find the Derivative - d/d@VAR	f(x)=2x^2+7x	$f (x) = 2 x^{2} + 7 x$
64464	Find the Derivative - d/d@VAR	f(x)=18e^x	$f (x) = 18 e^{x}$
64465	Find the Derivative - d/d@VAR	f(x)=16x^(1/8)	$f (x) = 16 x^{\frac{1}{8}}$
64466	Find the Derivative - d/d@VAR	f(x)=16-x^2	$f (x) = 16 - x^{2}$
64467	Find the Derivative - d/d@VAR	f(x)=2x^5(x^3-8x)	$f (x) = 2 x^{5} (x^{3} - 8 x)$
64468	Find the Derivative - d/d@VAR	f(x)=3sin(x)+4x^x	$f (x) = 3 \sin (x) + 4 x^{x}$
64469	Find the Derivative - d/d@VAR	f(x)=3x^4sec(5x)	$f (x) = 3 x^{4} \sec (5 x)$
64470	Find the Derivative - d/d@VAR	f(x)=5x^3 natural log of x	$f (x) = 5 x^{3} \ln (x)$
64471	Find the Derivative - d/d@VAR	f(x)=6(4x+1)^4(3x-5)^2	$f (x) = 6 {(4 x + 1)}^{4} {(3 x - 5)}^{2}$
64472	Find the Derivative - d/d@VAR	f(x)=-6 square root of x	$f (x) = - 6 \sqrt{x}$
64473	Find the Derivative - d/d@VAR	f(x)=6e^(-x)	$f (x) = 6 e^{- x}$
64474	Find the Derivative - d/d@VAR	f(x)=5x^4 natural log of x	$f (x) = 5 x^{4} \ln (x)$
64475	Find the Derivative - d/d@VAR	f(x)=8sin( square root of x)^4	$f (x) = 8 \sin^{4} (\sqrt{x})$
64476	Find the Derivative - d/d@VAR	f(x)=7x+4	$f (x) = 7 x + 4$
64477	Find the Derivative - d/d@VAR	f(x)=7e^(-6x)	$f (x) = 7 e^{- 6 x}$
64478	Find the Derivative - d/d@VAR	f(x)=4x^2-3x+4	$f (x) = 4 x^{2} - 3 x + 4$
64479	Find the Derivative - d/d@VAR	f(x)=-4x^2+7x-5	$f (x) = - 4 x^{2} + 7 x - 5$
64480	Find the Derivative - d/d@VAR	f(x)=4+8x-5x^2	$f (x) = 4 + 8 x - 5 x^{2}$
64481	Find the Derivative - d/d@VAR	f(x)=4-2x	$f (x) = 4 - 2 x$
64482	Find the Derivative - d/d@VAR	f(x)=3x+7	$f (x) = 3 x + 7$
64483	Find the Derivative - d/d@VAR	f(x)=(sin(x))/(1-cos(x))	$f (x) = \frac{\sin (x)}{1 - \cos (x)}$
64484	Find the Derivative - d/d@VAR	f(x)=( natural log of x)^2	$f (x) = \ln^{2} (x)$
64485	Find the Derivative - d/d@VAR	f(t)=t^7sin(t)	$f (t) = t^{7} \sin (t)$
64486	Find the Derivative - d/d@VAR	f(theta)=(sec(theta))/(1+sec(theta))	$f (θ) = \frac{\sec (θ)}{1 + \sec (θ)}$
64487	Find the Derivative - d/d@VAR	f(t)=(92t)/(99t-92)	$f (t) = \frac{92 t}{99 t - 92}$
64488	Find the Derivative - d/d@VAR	f(t)=arccsc(-4t^2)	$f (t) = arccsc (- 4 t^{2})$
64489	Find the Derivative - d/d@VAR	f(x)=(2x+5)e^x	$f (x) = (2 x + 5) e^{x}$
64490	Find the Derivative - d/d@VAR	f(x)=(2x^3-4x+3)^(4/3)	$f (x) = {(2 x^{3} - 4 x + 3)}^{\frac{4}{3}}$
64491	Find the Derivative - d/d@VAR	f(x)=1/((x+1)^2)	$f (x) = \frac{1}{{(x + 1)}^{2}}$
64492	Find the Derivative - d/d@VAR	f(x)=-1/4x^2	$f (x) = - \frac{1}{4} x^{2}$
64493	Find the Derivative - d/d@VAR	B(y)=cy^-3	$B (y) = c y^{- 3}$
64494	Find the Derivative - d/d@VAR	f(theta)=(theta+1)cos(theta)	$f (θ) = (θ + 1) \cos (θ)$
64495	Find the Derivative - d/d@VAR	A(s)=-12/(s^4)	$A (s) = - \frac{12}{s^{4}}$
64496	Divide	625/2	$\frac{625}{2}$
64497	Divide	(x^2-2x+1)/(x-2)	$\frac{x^{2} - 2 x + 1}{x - 2}$
64498	Divide	127÷13	$127 \div 13$
64499	Divide	( square root of 250x^2)/( square root of 2x)	$\frac{\sqrt{250 x^{2}}}{\sqrt{2 x}}$
64500	Divide	216/2	$\frac{216}{2}$