Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41401	Find the Derivative - d/d@VAR	p(t)=7te^(-t/8)	$p (t) = 7 t e^{- \frac{t}{8}}$
41402	Find the Derivative - d/d@VAR	p(t)=7p(5-p)	$p (t) = 7 p (5 - p)$
41403	Find the Derivative - d/d@VAR	p(t)=8te^(-t/13)	$p (t) = 8 t e^{- \frac{t}{13}}$
41404	Find the Derivative - d/d@VAR	P(t)=9.906(0.997)^t	$P (t) = 9.906 {(0.997)}^{t}$
41405	Find the Derivative - d/d@VAR	P(t)=9t+3t^2-t^3	$P (t) = 9 t + 3 t^{2} - t^{3}$
41406	Find the Derivative - d/d@VAR	p(x)=36-0.014x	$p (x) = 36 - 0.014 x$
41407	Find the Derivative - d/d@VAR	p(x)=1160+20x-2x^2	$p (x) = 1160 + 20 x - 2 x^{2}$
41408	Find the Derivative - d/d@VAR	P(x)=((25x)/(8+x^2))	$P (x) = (\frac{25 x}{8 + x^{2}})$
41409	Find the Derivative - d/d@VAR	P(x)=((4x-8)/(8x-4))	$P (x) = (\frac{4 x - 8}{8 x - 4})$
41410	Find the Derivative - d/d@VAR	p(x)=(40x-0.5x^2)-(40x+30)	$p (x) = (40 x - 0.5 x^{2}) - (40 x + 30)$
41411	Find the Derivative - d/d@VAR	P(x)=(8x-0.06x^2)-(186+6.9x)	$P (x) = (8 x - 0.06 x^{2}) - (186 + 6.9 x)$
41412	Find the Derivative - d/d@VAR	P(x)=(x-2)(3x-1)	$P (x) = (x - 2) (3 x - 1)$
41413	Find the Derivative - d/d@VAR	p(x)=-0.12*30+60	$p (x) = - 0.12 \cdot 30 + 60$
41414	Find the Derivative - d/d@VAR	P(x)=(-0.1^2+100x-60)/(4000x)	$P (x) = \frac{- {0.1}^{2} + 100 x - 60}{4000 x}$
41415	Find the Derivative - d/d@VAR	p(x)=-1/2x^2+3x-100	$p (x) = \frac{- 1}{2} x^{2} + 3 x - 100$
41416	Find the Derivative - d/d@VAR	p(x)=-1/3x^3+30x^2-400x+27000	$p (x) = - \frac{1}{3} x^{3} + 30 x^{2} - 400 x + 27000$
41417	Find the Derivative - d/d@VAR	p(x)=1/5*(150-37)	$p (x) = \frac{1}{5} \cdot (150 - 37)$
41418	Find the Derivative - d/d@VAR	p(x)=1/5*(150-x)	$p (x) = \frac{1}{5} \cdot (150 - x)$
41419	Find the Derivative - d/d@VAR	P(x)=100/(1+47e^(-0.12x))	$P (x) = \frac{100}{1 + 47 e^{- 0.12 x}}$
41420	Find the Derivative - d/d@VAR	p(x)=100/(1+50e^(-0.12x))	$p (x) = \frac{100}{1 + 50 e^{- 0.12 x}}$
41421	Find the Derivative - d/d@VAR	p(x)=1040/(0.4x^2+8)	$p (x) = \frac{1040}{0.4 x^{2} + 8}$
41422	Find the Derivative - d/d@VAR	p(x)=((11x^3-246x^2-2340x+570,0))/77 , 0	$p (x) = \frac{(11 x^{3} - 246 x^{2} - 2340 x + 570, 0)}{77}$ , $0$
41423	Find the Derivative - d/d@VAR	P(x)=1270/(0.4x^2+9)	$P (x) = \frac{1270}{0.4 x^{2} + 9}$
41424	Find the Derivative - d/d@VAR	P(x)=1500/(x^2-6x+10)	$P (x) = \frac{1500}{x^{2} - 6 x + 10}$
41425	Find the Derivative - d/d@VAR	p(X)=220/0.0375	$p (X) = \frac{220}{0.0375}$
41426	Find the Derivative - d/d@VAR	p(x)=5800/(x^2)+8.7x	$p (x) = \frac{5800}{x^{2}} + 8.7 x$
41427	Find the Derivative - d/d@VAR	p(x)=x^2 square root of x^4-12	$p (x) = x^{2} \sqrt{x^{4} - 12}$
41428	Find the Derivative - d/d@VAR	p(x)=x^2+12x+25	$p (x) = x^{2} + 12 x + 25$
41429	Find the Derivative - d/d@VAR	P(x)=x^2-8x	$P (x) = x^{2} - 8 x$
41430	Find the Derivative - d/d@VAR	P(x)=x^3-3/2x^2-5/2x+3	$P (x) = x^{3} - \frac{3}{2} x^{2} - \frac{5}{2} x + 3$
41431	Find the Derivative - d/d@VAR	P(x)=-x^3+3x^2+72x+1280	$P (x) = - x^{3} + 3 x^{2} + 72 x + 1280$
41432	Find the Derivative - d/d@VAR	P(x)=x^3+8x^2+11x-20	$P (x) = x^{3} + 8 x^{2} + 11 x - 20$
41433	Find the Derivative - d/d@VAR	P(x)=x^5-14x^3+x^2-15x+12	$P (x) = x^{5} - 14 x^{3} + x^{2} - 15 x + 12$
41434	Find the Derivative - d/d@VAR	p(x)=(x-4)/(x^3-16x)	$p (x) = \frac{x - 4}{x^{3} - 16 x}$
41435	Find the Derivative - d/d@VAR	p(x)=0.003x^3+100x	$p (x) = 0.003 x^{3} + 100 x$
41436	Find the Derivative - d/d@VAR	h(v) = square root of 5v+ natural log of v^4e^(6+9v)	$h (v) = \sqrt{5 v} + \ln (v^{4}) e^{6 + 9 v}$
41437	Find the Derivative - d/d@VAR	h(v) = cube root of 27/p(v+p)^(1/3)-3	$h (v) = \sqrt[3]{\frac{27}{p}} {(v + p)}^{\frac{1}{3}} - 3$
41438	Find the Derivative - d/d@VAR	h(w)=((w^3+4)^5)/8	$h (w) = \frac{{(w^{3} + 4)}^{5}}{8}$
41439	Find the Derivative - d/d@VAR	h(w)=(5w^5-w)/w	$h (w) = \frac{5 w^{5} - w}{w}$
41440	Find the Derivative - d/d@VAR	h(w)=-14w^-8+6 square root of w	$h (w) = - 14 w^{- 8} + 6 \sqrt{w}$
41441	Find the Derivative - d/d@VAR	h(x)=sin(x)	$h (x) = \sin (x)$
41442	Find the Derivative - d/d@VAR	h(x)=(5x+1)/((x+3)(x-5))	$h (x) = \frac{5 x + 1}{(x + 3) (x - 5)}$
41443	Find the Derivative - d/d@VAR	h(x)=1/(x^2)	$h (x) = \frac{1}{x^{2}}$
41444	Find the Derivative - d/d@VAR	h(x)=1/(x^4)	$h (x) = \frac{1}{x^{4}}$
41445	Find the Derivative - d/d@VAR	h(x) = square root of 3x-12	$h (x) = \sqrt{3 x - 12}$
41446	Find the Derivative - d/d@VAR	h(x)=sin(2x)cos(2x)	$h (x) = \sin (2 x) \cos (2 x)$
41447	Find the Derivative - d/d@VAR	h(x)=(1/x)-12sec(x)	$h (x) = (\frac{1}{x}) - 12 \sec (x)$
41448	Find the Derivative - d/d@VAR	h(x)=((1-cos(x))/(1+cos(x)))	$h (x) = (\frac{1 - \cos (x)}{1 + \cos (x)})$
41449	Find the Derivative - d/d@VAR	h(x)=((cos(x))/(1+sin(x)))	$h (x) = (\frac{\cos (x)}{1 + \sin (x)})$
41450	Find the Derivative - d/d@VAR	h(x)=(x^2+1)(x-1)	$h (x) = (x^{2} + 1) (x - 1)$
41451	Find the Derivative - d/d@VAR	h(x)=(x^3-3x+7)	$h (x) = (x^{3} - 3 x + 7)$
41452	Find the Derivative - d/d@VAR	h(x)=(x^3-6x)(2-4x^3)	$h (x) = (x^{3} - 6 x) (2 - 4 x^{3})$
41453	Find the Derivative - d/d@VAR	h(x)=(1+x^2)arctan(x)	$h (x) = (1 + x^{2}) \arctan (x)$
41454	Find the Derivative - d/d@VAR	h(x)=(14x)(8x+6)	$h (x) = (14 x) (8 x + 6)$
41455	Find the Derivative - d/d@VAR	h(x)=(-20x^-5)+(504x^-10)	$h (x) = (- 20 x^{- 5}) + (504 x^{- 10})$
41456	Find the Derivative - d/d@VAR	h(x)=(3x^3)(sin(x^2))	$h (x) = (3 x^{3}) (\sin (x^{2}))$
41457	Find the Derivative - d/d@VAR	h(x)=(5x^-2-10x+7)(x^3-4x+5)^2	$h (x) = (5 x^{- 2} - 10 x + 7) {(x^{3} - 4 x + 5)}^{2}$
41458	Find the Derivative - d/d@VAR	h(x)=(x-2)(4x+1)	$h (x) = (x - 2) (4 x + 1)$
41459	Find the Derivative - d/d@VAR	h(x)=(x-3)(4x+10)	$h (x) = (x - 3) (4 x + 10)$
41460	Find the Derivative - d/d@VAR	h(x)=(x-4)(5x+17)	$h (x) = (x - 4) (5 x + 17)$
41461	Find the Derivative - d/d@VAR	h(x)=(x-5)(4x+19)	$h (x) = (x - 5) (4 x + 19)$
41462	Find the Derivative - d/d@VAR	h(x)=((3x+2)/(5x-1))^3	$h (x) = {(\frac{3 x + 2}{5 x - 1})}^{3}$
41463	Find the Derivative - d/d@VAR	h(x)=((cos(x))/(1+sin(x)))^5	$h (x) = {(\frac{\cos (x)}{1 + \sin (x)})}^{5}$
41464	Find the Derivative - d/d@VAR	h(x)=( square root of x+6)^4	$h (x) = {(\sqrt{x + 6})}^{4}$
41465	Find the Derivative - d/d@VAR	h(x)=(x^2+3)^3	$h (x) = {(x^{2} + 3)}^{3}$
41466	Find the Derivative - d/d@VAR	h(x)=(x^2+5)^2(x-5)	$h (x) = {(x^{2} + 5)}^{2} (x - 5)$
41467	Find the Derivative - d/d@VAR	h(t)=4t^3+2e^t	$h (t) = 4 t^{3} + 2 e^{t}$
41468	Find the Derivative - d/d@VAR	h(t)=47t-0.83t^2	$h (t) = 47 t - 0.83 t^{2}$
41469	Find the Derivative - d/d@VAR	h(t)=4 natural log of t^4	$h (t) = 4 \ln (t^{4})$
41470	Find the Derivative - d/d@VAR	h(t)=600 natural log of t^2+1+3t+4	$h (t) = 600 \ln (t^{2} + 1 + 3 t + 4)$
41471	Find the Derivative - d/d@VAR	h(t)=7t+9	$h (t) = 7 t + 9$
41472	Find the Derivative - d/d@VAR	h(t)=8 natural log of t^6	$h (t) = 8 \ln (t^{6})$
41473	Find the Derivative - d/d@VAR	h(t)=arccos(t^2)	$h (t) = \arccos (t^{2})$
41474	Find the Derivative - d/d@VAR	h(t)=arccot(t)	$h (t) = arccot (t)$
41475	Find the Derivative - d/d@VAR	h(t)=-cos(pi/2+2t)	$h (t) = - \cos (\frac{π}{2} + 2 t)$
41476	Find the Derivative - d/d@VAR	h(t)=cot(t)	$h (t) = \cot (t)$
41477	Find the Derivative - d/d@VAR	h(t)=a+bt-(gt^2)/2	$h (t) = a + b t - \frac{g t^{2}}{2}$
41478	Find the Derivative - d/d@VAR	h(t)=sin(2*pi/4)	$h (t) = \sin (2 \cdot \frac{π}{4})$
41479	Find the Derivative - d/d@VAR	h(t)=t	$h (t) = t$
41480	Find the Derivative - d/d@VAR	h(t) = square root of t-1	$h (t) = \sqrt{t - 1}$
41481	Find the Derivative - d/d@VAR	h(t) = fourth root of t( square root of t+t)	$h (t) = \sqrt[4]{t} (\sqrt{t} + t)$
41482	Find the Derivative - d/d@VAR	h(t) = fourth root of t-4et	$h (t) = \sqrt[4]{t} - 4 e t$
41483	Find the Derivative - d/d@VAR	h(t)=10.1+8.6t+0.6t^2	$h (t) = 10.1 + 8.6 t + 0.6 t^{2}$
41484	Find the Derivative - d/d@VAR	H(t)=100 natural log of 3+2x-e^(3x)	$H (t) = 100 \ln (3 + 2 x - e^{3 x})$
41485	Find the Derivative - d/d@VAR	h(t)=11.8+5.5t-0.5t^3	$h (t) = 11.8 + 5.5 t - 0.5 t^{3}$
41486	Find the Derivative - d/d@VAR	h(t)=11arccot(t)+11arccot(1/t)	$h (t) = 11 arccot (t) + 11 arccot (\frac{1}{t})$
41487	Find the Derivative - d/d@VAR	H(t)=15-11e^(-0.1t)	$H (t) = 15 - 11 e^{- 0.1 t}$
41488	Find the Derivative - d/d@VAR	h(t)=16t^2+v^0t	$h (t) = 16 t^{2} + v^{0} t$
41489	Find the Derivative - d/d@VAR	h(t)=-16t^2+20t+2	$h (t) = - 16 t^{2} + 20 t + 2$
41490	Find the Derivative - d/d@VAR	h(t)=-16t^2+256t+272	$h (t) = - 16 t^{2} + 256 t + 272$
41491	Find the Derivative - d/d@VAR	h(t)=-16t^2+48t+160	$h (t) = - 16 t^{2} + 48 t + 160$
41492	Find the Derivative - d/d@VAR	h(t)=-16t^2+5t+7	$h (t) = - 16 t^{2} + 5 t + 7$
41493	Find the Derivative - d/d@VAR	h(t)=1- natural log of t	$h (t) = 1 - \ln (t)$
41494	Find the Derivative - d/d@VAR	h(t)=2 square root of t	$h (t) = 2 \sqrt{t}$
41495	Find the Derivative - d/d@VAR	h(t)=2 natural log of t^5	$h (t) = 2 \ln (t^{5})$
41496	Find the Derivative - d/d@VAR	g(y)=(y-5)/(y^2-y+5)	$g (y) = \frac{y - 5}{y^{2} - y + 5}$
41497	Find the Derivative - d/d@VAR	g(y)=2sin(y)cos(y)	$g (y) = 2 \sin (y) \cos (y)$
41498	Find the Derivative - d/d@VAR	g(y)=-4y^2+24y-20	$g (y) = - 4 y^{2} + 24 y - 20$
41499	Find the Derivative - d/d@VAR	g(z)=- natural log of 2-3z	$g (z) = - \ln (2 - 3 z)$
41500	Find the Derivative - d/d@VAR	g(z)=(z^6+(z^2-1)^6)^-6	$g (z) = {(z^{6} + {(z^{2} - 1)}^{6})}^{- 6}$