Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41301	Find the Derivative - d/d@VAR	k(t)=(t^2-9)^2	$k (t) = {(t^{2} - 9)}^{2}$
41302	Find the Derivative - d/d@VAR	k(t)=(t-6)^2	$k (t) = {(t - 6)}^{2}$
41303	Find the Derivative - d/d@VAR	k(t) = natural log of e^(3t)+e^(-3t)	$k (t) = \ln (e^{3 t} + e^{- 3 t})$
41304	Find the Derivative - d/d@VAR	k(u)=((u^2+1)^3)/((4u-5)^5)	$k (u) = \frac{{(u^{2} + 1)}^{3}}{{(4 u - 5)}^{5}}$
41305	Find the Derivative - d/d@VAR	k(x)=3.7e^x-2 natural log of x	$k (x) = 3.7 e^{x} - 2 \ln (x)$
41306	Find the Derivative - d/d@VAR	k(x)=(7x)/(x^2+36)	$k (x) = \frac{7 x}{x^{2} + 36}$
41307	Find the Derivative - d/d@VAR	k(x)=(e^( square root of x))/(e^-1)	$k (x) = \frac{e^{\sqrt{x}}}{e^{- 1}}$
41308	Find the Derivative - d/d@VAR	k(x)=45(3t^3-8)^(3/2)	$k (x) = 45 {(3 t^{3} - 8)}^{\frac{3}{2}}$
41309	Find the Derivative - d/d@VAR	k(x)=(9x+3)/(7x^2+x)	$k (x) = \frac{9 x + 3}{7 x^{2} + x}$
41310	Find the Derivative - d/d@VAR	k(x)=x+2sin(x)	$k (x) = x + 2 \sin (x)$
41311	Find the Derivative - d/d@VAR	l(r)=A( natural log of (2h)/r-0.75)	$l (r) = A (\ln (\frac{2 h}{r}) - 0.75)$
41312	Find the Derivative - d/d@VAR	l(x)=16x^3+17/( square root of x)-10x^3.1416	$l (x) = 16 x^{3} + \frac{17}{\sqrt{x}} - 10 x^{3.1416}$
41313	Find the Derivative - d/d@VAR	L(x)=sin(pi/6)+cos(pi/6)(x-pi/6)	$L (x) = \sin (\frac{π}{6}) + \cos (\frac{π}{6}) (x - \frac{π}{6})$
41314	Find the Derivative - d/d@VAR	m(p)=(4p-1)(3p+1)(p+2)	$m (p) = (4 p - 1) (3 p + 1) (p + 2)$
41315	Find the Derivative - d/d@VAR	M(t)=100(1-e^(-t/100))	$M (t) = 100 (1 - e^{- \frac{t}{100}})$
41316	Find the Derivative - d/d@VAR	M(t)=-2t^2+108t+200	$M (t) = - 2 t^{2} + 108 t + 200$
41317	Find the Derivative - d/d@VAR	m(t)=-3(30)^2+180(30)+150	$m (t) = - 3 {(30)}^{2} + 180 (30) + 150$
41318	Find the Derivative - d/d@VAR	M(t)=-4t^2+200t+100	$M (t) = - 4 t^{2} + 200 t + 100$
41319	Find the Derivative - d/d@VAR	m(t)=-5t(6t^4-1)^8	$m (t) = - 5 t {(6 t^{4} - 1)}^{8}$
41320	Find the Derivative - d/d@VAR	m(t)=-5t(6t^5-1)^3	$m (t) = - 5 t {(6 t^{5} - 1)}^{3}$
41321	Find the Derivative - d/d@VAR	m(t)=-6t(5t^6-1)^7	$m (t) = - 6 t {(5 t^{6} - 1)}^{7}$
41322	Find the Derivative - d/d@VAR	m(x)=cos(1-x^2)^(3/2)	$m (x) = {\cos (1 - x^{2})}^{\frac{3}{2}}$
41323	Find the Derivative - d/d@VAR	M(x)=3000/((x+3,600x^-1))	$M (x) = \frac{3000}{(x + 3, 600 x^{- 1})}$
41324	Find the Derivative - d/d@VAR	m(x)=xe^(5x)	$m (x) = x e^{5 x}$
41325	Find the Derivative - d/d@VAR	m(x)=1000e^(0.06x)	$m (x) = 1000 e^{0.06 x}$
41326	Find the Derivative - d/d@VAR	m(x)=12(x^2+5)^(3/2)-93	$m (x) = 12 {(x^{2} + 5)}^{\frac{3}{2}} - 93$
41327	Find the Derivative - d/d@VAR	m(x)=f(g(h(x)))	$m (x) = f (g (h (x)))$
41328	Find the Derivative - d/d@VAR	m(y)=(1+4y^2)/(6y^2+1)	$m (y) = \frac{1 + 4 y^{2}}{6 y^{2} + 1}$
41329	Find the Derivative - d/d@VAR	N(a)=exp ((9e)/V*(r-ro))((ro)/r)^(2/3)	$N (a) =$ exp $(\frac{9 e}{V} \cdot (r - r o)) {(\frac{r o}{r})}^{\frac{2}{3}}$
41330	Find the Derivative - d/d@VAR	n(r)=-5000 natural log of 0.89	$n (r) = - 5000 \ln (0.89)$
41331	Find the Derivative - d/d@VAR	N(t)=(4t)/(t+1)	$N (t) = \frac{4 t}{t + 1}$
41332	Find the Derivative - d/d@VAR	N(t)=21.26t^2-330.62t+2155	$N (t) = 21.26 t^{2} - 330.62 t + 2155$
41333	Find the Derivative - d/d@VAR	N(t)=21000/(1+165e^(-0.85t))	$N (t) = \frac{21000}{1 + 165 e^{- 0.85 t}}$
41334	Find the Derivative - d/d@VAR	N(t)=2500/((1+20.7)(e)^(-0.8t))	$N (t) = \frac{2500}{(1 + 20.7) {(e)}^{- 0.8 t}}$
41335	Find the Derivative - d/d@VAR	N(t)=5000/(1+23.9e^(-0.07t))	$N (t) = \frac{5000}{1 + 23.9 e^{- 0.07 t}}$
41336	Find the Derivative - d/d@VAR	N(t)=-t^3+6t^2+16t	$N (t) = - t^{3} + 6 t^{2} + 16 t$
41337	Find the Derivative - d/d@VAR	n(t)=1.1+1.2e^(-0.08t)	$n (t) = 1.1 + 1.2 e^{- 0.08 t}$
41338	Find the Derivative - d/d@VAR	n(t)=12e^0.014	$n (t) = 12 e^{0.014}$
41339	Find the Derivative - d/d@VAR	n(t)=1250e^(-0.0075t)	$n (t) = 1250 e^{- 0.0075 t}$
41340	Find the Derivative - d/d@VAR	n(t)=2t^3-3t^2+2t	$n (t) = 2 t^{3} - 3 t^{2} + 2 t$
41341	Find the Derivative - d/d@VAR	n(t)=34.68+23.88 natural log of 1.05(t)+5.3	$n (t) = 34.68 + 23.88 \ln (1.05) (t) + 5.3$
41342	Find the Derivative - d/d@VAR	N(t)=34.86+23.88 natural log of 1.05*2005+5.3	$N (t) = 34.86 + 23.88 \ln (1.05 \cdot 2005 + 5.3)$
41343	Find the Derivative - d/d@VAR	N(t)=48872e^(0.035t)	$N (t) = 48872 e^{0.035 t}$
41344	Find the Derivative - d/d@VAR	n(t)=5t^2(e^(-t))	$n (t) = 5 t^{2} (e^{- t})$
41345	Find the Derivative - d/d@VAR	N(t)=(at)/(k+t)	$N (t) = \frac{a t}{k + t}$
41346	Find the Derivative - d/d@VAR	n(x)=10000/(1+t^2)+2000	$n (x) = \frac{10000}{1 + t^{2}} + 2000$
41347	Find the Derivative - d/d@VAR	n(x)=(100x+500)/(x+38)	$n (x) = \frac{100 x + 500}{x + 38}$
41348	Find the Derivative - d/d@VAR	N(x)=-12x^2+216x+756	$N (x) = - 12 x^{2} + 216 x + 756$
41349	Find the Derivative - d/d@VAR	N(x)=340+84 natural log of 2+3.5x	$N (x) = 340 + 84 \ln (2 + 3.5 x)$
41350	Find the Derivative - d/d@VAR	N(x)=-4x^3+108x^2+756x+19000	$N (x) = - 4 x^{3} + 108 x^{2} + 756 x + 19000$
41351	Find the Derivative - d/d@VAR	p(x)=( square root of 5)/(2 square root of x)	$p (x) = \frac{\sqrt{5}}{2 \sqrt{x}}$
41352	Find the Derivative - d/d@VAR	P(a)=0.35	$P (a) = 0.35$
41353	Find the Derivative - d/d@VAR	P(k)=160/(1+0.05e^(2(-k)))	$P (k) = \frac{160}{1 + 0.05 e^{2 (- k)}}$
41354	Find the Derivative - d/dp	p(p)=-0.2p^2+170p	$p (p) = - 0.2 p^{2} + 170 p$
41355	Find the Derivative - d/d@VAR	P(p)=-5x^2+26125x-6x-370	$P (p) = - 5 x^{2} + 26125 x - 6 x - 370$
41356	Find the Derivative - d/d@VAR	p(q)=(55q)/( natural log of q)-102	$p (q) = \frac{55 q}{\ln (q)} - 102$
41357	Find the Derivative - d/d@VAR	p(q)=22.2-1.2q	$p (q) = 22.2 - 1.2 q$
41358	Find the Derivative - d/d@VAR	p(q)=(46q)/( natural log of q)	$p (q) = \frac{46 q}{\ln (q)}$
41359	Find the Derivative - d/d@VAR	p(t)=2200/(1+3(2.71828)^(-0.26*0))	$p (t) = \frac{2200}{1 + 3 {(2.71828)}^{- 0.26 \cdot 0}}$
41360	Find the Derivative - d/d@VAR	P(t)=20.6e^(-0.0009*18)	$P (t) = 20.6 e^{- 0.0009 \cdot 18}$
41361	Find the Derivative - d/d@VAR	p(t)=20.6e^(-0.009*0)	$p (t) = 20.6 e^{- 0.009 \cdot 0}$
41362	Find the Derivative - d/d@VAR	p(t)=(1/5255)2^t+210^8	$p (t) = (\frac{1}{5255}) \cdot 2^{t} + 2 \cdot 10^{8}$
41363	Find the Derivative - d/d@VAR	P(t)=1/(1+ae^(-kt))	$P (t) = \frac{1}{1 + a e^{- k t}}$
41364	Find the Derivative - d/d@VAR	p(t)=(14t)/(t^2+60)+0.18	$p (t) = \frac{14 t}{t^{2} + 60} + 0.18$
41365	Find the Derivative - d/d@VAR	P(t)=160/(1+0.05e^(-k*2))	$P (t) = \frac{160}{1 + 0.05 e^{- k \cdot 2}}$
41366	Find the Derivative - d/d@VAR	p(t)=(400t)/(2t^2+9)	$p (t) = \frac{400 t}{2 t^{2} + 9}$
41367	Find the Derivative - d/d@VAR	P(t)=(400t)/(3t^2+25)	$P (t) = \frac{400 t}{3 t^{2} + 25}$
41368	Find the Derivative - d/d@VAR	p(t)=(5t^2+6)/(t^2+3)	$p (t) = \frac{5 t^{2} + 6}{t^{2} + 3}$
41369	Find the Derivative - d/d@VAR	P(t)=5760/(1+4.76e^(-0.5t))	$P (t) = \frac{5760}{1 + 4.76 e^{- 0.5 t}}$
41370	Find the Derivative - d/d@VAR	P(t)=5780/(1+4.78e^(-0.4t))	$P (t) = \frac{5780}{1 + 4.78 e^{- 0.4 t}}$
41371	Find the Derivative - d/d@VAR	p(t)=(600t)/(3t^2+4)	$p (t) = \frac{600 t}{3 t^{2} + 4}$
41372	Find the Derivative - d/d@VAR	p(t)=t/(t+1)	$p (t) = \frac{t}{t + 1}$
41373	Find the Derivative - d/d@VAR	P(t)=t^4+5t^3-2t^2+6/(7t+4)	$P (t) = t^{4} + 5 t^{3} - 2 t^{2} + \frac{6}{7 t + 4}$
41374	Find the Derivative - d/d@VAR	p(t)=0-0.009e^(-0.009t)	$p (t) = 0 - 0.009 e^{- 0.009 t}$
41375	Find the Derivative - d/d@VAR	p(t)=10te^((-t)/7)	$p (t) = 10 t e^{\frac{- t}{7}}$
41376	Find the Derivative - d/d@VAR	p(t)=10te^((-t)/8)	$p (t) = 10 t e^{\frac{- t}{8}}$
41377	Find the Derivative - d/d@VAR	P(t)=100(1-e^(0.10t))	$P (t) = 100 (1 - e^{0.1 t})$
41378	Find the Derivative - d/d@VAR	P(t)=100(1-e^(-0.15t))	$P (t) = 100 (1 - e^{- 0.15 t})$
41379	Find the Derivative - d/d@VAR	p(t)=100(1-e^(-0.18*1))	$p (t) = 100 (1 - e^{- 0.18 \cdot 1})$
41380	Find the Derivative - d/d@VAR	P(t)=100(1-e^(-0.41t))	$P (t) = 100 (1 - e^{- 0.41 t})$
41381	Find the Derivative - d/d@VAR	p(t)=100(1.05)^(0.2t)	$p (t) = 100 {(1.05)}^{0.2 t}$
41382	Find the Derivative - d/d@VAR	P(t)=135000e^(0.016t)	$P (t) = 135000 \cdot e^{0.016 \cdot t}$
41383	Find the Derivative - d/d@VAR	P(t)=2(8)^(0.019t)	$P (t) = 2 {(8)}^{0.019 t}$
41384	Find the Derivative - d/d@VAR	P(t)=2t^2+5t-2	$P (t) = 2 t^{2} + 5 t - 2$
41385	Find the Derivative - d/d@VAR	p(t)=20.6e^(-0.099t)	$p (t) = 20.6 e^{- 0.099 t}$
41386	Find the Derivative - d/d@VAR	P(t)=20.6e^(-0.009t)	$P (t) = 20.6 e^{- 0.009 t}$
41387	Find the Derivative - d/d@VAR	P(t)=200000+9000t^2	$P (t) = 200000 + 9000 t^{2}$
41388	Find the Derivative - d/d@VAR	P(t)=21+((10(sin(2pit)))/7)/( square root of t- square root of 20)	$P (t) = 21 + \frac{\frac{10 (\sin (2 π t))}{7}}{\sqrt{t} - \sqrt{20}}$
41389	Find the Derivative - d/d@VAR	P(t)=25+75e^(-0.4t)	$P (t) = 25 + 75 e^{- 0.4 t}$
41390	Find the Derivative - d/d@VAR	p(t)=3+1.6e^(0.05t)	$p (t) = 3 + 1.6 e^{0.05 t}$
41391	Find the Derivative - d/d@VAR	P(t)=300 , 0(-0.09)e^(-0.09t)+0.5	$P (t) = 300$ , $0 (- 0.09) e^{- 0.09 t} + 0.5$
41392	Find the Derivative - d/d@VAR	P(t)=300e^(0.01t)	$P (t) = 300 e^{0.01 t}$
41393	Find the Derivative - d/d@VAR	p(t)=4e^(-2e^(2t))	$p (t) = 4 e^{- 2 e^{2 t}}$
41394	Find the Derivative - d/d@VAR	p(t)=400(t+ natural log of 24+t^2)+60000-400 natural log of 24	$p (t) = 400 (t + \ln (24 + t^{2})) + 60000 - 400 \ln (24)$
41395	Find the Derivative - d/d@VAR	p(t)=500(1-e^(-0.2*4))	$p (t) = 500 (1 - e^{- 0.2 \cdot 4})$
41396	Find the Derivative - d/d@VAR	P(t)=53000+30t^(3/2)+18t	$P (t) = 53000 + 30 t^{\frac{3}{2}} + 18 t$
41397	Find the Derivative - d/d@VAR	P(t)=562+t(37t^0.6-107)	$P (t) = 562 + t (37 t^{0.6} - 107)$
41398	Find the Derivative - d/d@VAR	P(t)=564+t(36t^0.6-101)	$P (t) = 564 + t (36 t^{0.6} - 101)$
41399	Find the Derivative - d/d@VAR	p(t)=59.2(43)^0.6-104	$p (t) = 59.2 {(43)}^{0.6} - 104$
41400	Find the Derivative - d/d@VAR	p(t)=7*1.1^t	$p (t) = 7 \cdot {1.1}^{t}$