Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15801	Find the Derivative - d/dt	(t-1)/(t^2+1)	$\frac{t - 1}{t^{2} + 1}$
15802	Find the Derivative - d/dt	t^3-27t	$t^{3} - 27 t$
15803	Find the Derivative - d/dt	t^3-2t+4	$t^{3} - 2 t + 4$
15804	Find the Derivative - d/dt	t^3-3t	$t^{3} - 3 t$
15805	Find the Derivative - d/dt	t^3sin(t)	$t^{3} \sin (t)$
15806	Find the Derivative - d/dt	t^4-16t^3+70t^2	$t^{4} - 16 t^{3} + 70 t^{2}$
15807	Find the Derivative - d/dt	t^5 natural log of t	$t^{5} \ln (t)$
15808	Find the Derivative - d/dt	t^3-15t^2+72t	$t^{3} - 15 t^{2} + 72 t$
15809	Find the Derivative - d/dt	t^11 natural log of \|t\|	$t^{11} \ln (\| t \|)$
15810	Find the Derivative - d/dt	t^12 natural log of \|t\|	$t^{12} \ln (\| t \|)$
15811	Find the Derivative - d/dt	t^2-2t+6	$t^{2} - 2 t + 6$
15812	Find the Derivative - d/dt	t^2e^(8t)	$t^{2} e^{8 t}$
15813	Find the Derivative - d/dt	t^2cos(t)	$t^{2} \cos (t)$
15814	Find the Derivative - d/dt	(7t)/( natural log of t)	$\frac{7 t}{\ln (t)}$
15815	Find the Derivative - d/dt	8/(t^3)	$\frac{8}{t^{3}}$
15816	Find the Derivative - d/dt	(8+e^t)/(3t^4-t)	$\frac{8 + e^{t}}{3 t^{4} - t}$
15817	Find the Derivative - d/dt	(80t^2)/(t^2+100)	$\frac{80 t^{2}}{t^{2} + 100}$
15818	Find the Derivative - d/dt	6/(t^2+5t-9)	$\frac{6}{t^{2} + 5 t - 9}$
15819	Find the Derivative - d/dt	5/(t^2)	$\frac{5}{t^{2}}$
15820	Find the Derivative - d/dt	(5cos((2t)/pi))/(2+sin((2t)/pi))+6	$\frac{5 \cos (\frac{2 t}{π})}{2 + \sin (\frac{2 t}{π})} + 6$
15821	Find the Derivative - d/dt	(40t^2)/(t^2+150)	$\frac{40 t^{2}}{t^{2} + 150}$
15822	Find the Derivative - d/dt	5/(t^(1/5))-8/(t^(3/2))	$\frac{5}{t^{\frac{1}{5}}} - \frac{8}{t^{\frac{3}{2}}}$
15823	Find the Derivative - d/dt	(500t)/(2t^2+25)	$\frac{500 t}{2 t^{2} + 25}$
15824	Find the Derivative - d/dt	9/(t^2)	$\frac{9}{t^{2}}$
15825	Find the Derivative - d/dt	Ae^(kt)sin(bt)	$A e^{k t} \sin (b t)$
15826	Find the Derivative - d/dt	d/(dd)*(dcos(t))+t^2sin(t)	$\frac{d}{d d} \cdot (d \cos (t)) + t^{2} \sin (t)$
15827	Find the Derivative - d/dt	d/(dt)*(x^5+8)	$\frac{d}{d t} \cdot (x^{5} + 8)$
15828	Find the Derivative - d/dt	(3t-1)/(t^2+5t)	$\frac{3 t - 1}{t^{2} + 5 t}$
15829	Find the Derivative - d/dt	(4t)/(4+ square root of t)	$\frac{4 t}{4 + \sqrt{t}}$
15830	Find the Derivative - d/dt	-3/(t^2)	$- \frac{3}{t^{2}}$
15831	Find the Derivative - d/dt	2^( square root of t)	$2^{\sqrt{t}}$
15832	Find the Derivative - d/dt	4/(5t)	$\frac{4}{5 t}$
15833	Find the Derivative - d/dt	1/(t+1)	$\frac{1}{t + 1}$
15834	Find the Derivative - d/dt	10000/(9+4e^(-0.2t))	$\frac{10000}{9 + 4 e^{- 0.2 t}}$
15835	Find the Derivative - d/dt	(180t)/(t+4)	$\frac{180 t}{t + 4}$
15836	Find the Derivative - d/dt	(1-8t)/(1+8t)	$\frac{1 - 8 t}{1 + 8 t}$
15837	Find the Derivative - d/dt	2^(-t)	$2^{- t}$
15838	Find the Derivative - d/dt	27500/(1+12e^(-0.52t))	$\frac{27500}{1 + 12 e^{- 0.52 t}}$
15839	Find the Derivative - d/ds	12/(s^5)	$\frac{12}{s^{5}}$
15840	Find the Derivative - d/ds	-12/(s^5)	$- \frac{12}{s^{5}}$
15841	Find the Derivative - d/ds	1/s-10csc(s)	$\frac{1}{s} - 10 \csc (s)$
15842	Find the Derivative - d/ds	1/(2s)-5/(4s^3)	$\frac{1}{2 s} - \frac{5}{4 s^{3}}$
15843	Find the Derivative - d/ds	1/(2s)-6/(5s^4)	$\frac{1}{2 s} - \frac{6}{5 s^{4}}$
15844	Find the Derivative - d/ds	1/(2s)-7/(3s^2)	$\frac{1}{2 s} - \frac{7}{3 s^{2}}$
15845	Find the Derivative - d/ds	(s^8+1)e^(-s^8)	$(s^{8} + 1) e^{- s^{8}}$
15846	Find the Derivative - d/ds	1/(3s^2)-5/(2s)	$\frac{1}{3 s^{2}} - \frac{5}{2 s}$
15847	Find the Derivative - d/ds	1/(3s^2)-6/(5s^4)	$\frac{1}{3 s^{2}} - \frac{6}{5 s^{4}}$
15848	Find the Derivative - d/ds	-13/(s^5)	$- \frac{13}{s^{5}}$
15849	Find the Derivative - d/ds	s^2+4sh	$s^{2} + 4 s h$
15850	Find the Derivative - d/ds	d/(ds)* square root of s^2+1	$\frac{d}{d s} \cdot \sqrt{s^{2} + 1}$
15851	Find the Derivative - d/ds	log base 5 of 9^s-4	$\log_{5} (9^{s} - 4)$
15852	Find the Derivative - d/ds	square root of (s^2+1)/(s^2+4)	$\sqrt{\frac{s^{2} + 1}{s^{2} + 4}}$
15853	Find the Derivative - d/dr	g(r)=(8r^3+7r+4)(r^2+3)	$g (r) = (8 r^{3} + 7 r + 4) (r^{2} + 3)$
15854	Find the Derivative - d/dr	2p(r^2+v/(pr))	$2 p (r^{2} + \frac{v}{p r})$
15855	Find the Derivative - d/dr	y=(r^2-2r)e^r	$y = (r^{2} - 2 r) e^{r}$
15856	Find the Derivative - d/dR	S(R)=4pR^2	$S (R) = 4 p R^{2}$
15857	Find the Derivative - d/dr	G(r) = square root of r+ fifth root of r	$G (r) = \sqrt{r} + \sqrt[5]{r}$
15858	Find the Derivative - d/dr	k(r)=e^r+r^e	$k (r) = e^{r} + r^{e}$
15859	Find the Derivative - d/ds	(s^2+1)e^(-s^2)	$(s^{2} + 1) e^{- s^{2}}$
15860	Find the Derivative - d/ds	(s^5+1)e^(-s^5)	$(s^{5} + 1) e^{- s^{5}}$
15861	Find the Derivative - d/ds	( square root of s)/4	$\frac{\sqrt{s}}{4}$
15862	Find the Derivative - d/dr	square root of r+ cube root of r	$\sqrt{r} + \sqrt[3]{r}$
15863	Find the Derivative - d/dr	108pr^2-2p^2r^3	$108 p r^{2} - 2 p^{2} r^{3}$
15864	Find the Derivative - d/dr	2pr	$2 p r$
15865	Find the Derivative - d/dr	2prh	$2 p r h$
15866	Find the Derivative - d/dR	9pR^2	$9 p R^{2}$
15867	Find the Derivative - d/dr	P(r)=(5(3r+1))/(r^2+r+2)	$P (r) = \frac{5 (3 r + 1)}{r^{2} + r + 2}$
15868	Find the Derivative - d/dr	(GmM)/(r^2)	$\frac{G m M}{r^{2}}$
15869	Find the Derivative - d/dr	-A/(r^2)+B/(r^3)	$- \frac{A}{r^{2}} + \frac{B}{r^{3}}$
15870	Find the Derivative - d/dr	4/3(p(r+h)^3)-4/3(pr^3)	$\frac{4}{3} \cdot (p {(r + h)}^{3}) - \frac{4}{3} \cdot (p r^{3})$
15871	Find the Derivative - d/dq	500/(q^2)	$\frac{500}{q^{2}}$
15872	Find the Derivative - d/dQ	100Q^(1/2)	$100 Q^{\frac{1}{2}}$
15873	Find the Derivative - d/dq	9ab^8q	$9 a b^{8} q$
15874	Find the Derivative - d/dq	(qsin(q))/(q^2-1)	$\frac{q \sin (q)}{q^{2} - 1}$
15875	Find the Derivative - d/dq	840-12q^7q^2+2q	$840 - 12 q^{7} q^{2} + 2 q$
15876	Find the Derivative - d/dq	(cos(q)-sin(q))/(cos(q))	$\frac{\cos (q) - \sin (q)}{\cos (q)}$
15877	Find the Derivative - d/dq	3q^3-18q^2+75q	$3 q^{3} - 18 q^{2} + 75 q$
15878	Find the Derivative - d/dr	(4/3)pr^3	$(\frac{4}{3}) p r^{3}$
15879	Find the Derivative - d/dr	(r^2+1)^4	${(r^{2} + 1)}^{4}$
15880	Find the Derivative - d/dr	1/3*(pr^2h)	$\frac{1}{3} \cdot (p r^{2} h)$
15881	Find the Derivative - d/dp	square root of 100-3p	$\sqrt{100 - 3 p}$
15882	Find the Derivative - d/dn	y=3cot(nx)	$y = 3 \cot (n x)$
15883	Find the Derivative - d/dn	y=6/(n^3)	$y = \frac{6}{n^{3}}$
15884	Find the Derivative - d/dn	f(x)=cos((pix)/2)	$f (x) = \cos (\frac{p i x}{2})$
15885	Find the Derivative - d/dx	y=cos(4x)	$y = \cos (4 x)$
15886	Evaluate the Limit	limit as x approaches 6 of (1/x-1/6)/(x-6)	$lim_{x \to 6} \frac{\frac{1}{x} - \frac{1}{6}}{x - 6}$
15887	Find the Derivative - d/dP	P(theta(3))-theta(P(3))	$P (θ (3)) - θ (P (3))$
15888	Find the Derivative - d/dp	h(p)=(p-1)/(p^2+4)	$h (p) = \frac{p - 1}{p^{2} + 4}$
15889	Find the Derivative - d/dp	q(p)=2.8/p+3.1	$q (p) = \frac{2.8}{p} + 3.1$
15890	Find the Derivative - d/dp	v(p)=(nRt)/p	$v (p) = \frac{n R t}{p}$
15891	Find the Derivative - d/dp	y=e^p(p+p square root of p)	$y = e^{p} (p + p \sqrt{p})$
15892	Find the Derivative - d/dn	1/(n+1)	$\frac{1}{n + 1}$
15893	Find the Derivative - d/dm	y=e^(mx)	$y = e^{m x}$
15894	Find the Derivative - d/dn	n/(n+7)	$\frac{n}{n + 7}$
15895	Find the Derivative - d/dn	1/n	$\frac{1}{n}$
15896	Find the Derivative - d/dn	(nr)/(1+(n-1)r)	$\frac{n r}{1 + (n - 1) r}$
15897	Find the Derivative - d/dn	(sin(n))/n	$\frac{\sin (n)}{n}$
15898	Find the Derivative - d/dn	sin(x)^n	${\sin (x)}^{n}$
15899	Find the Derivative - d/dn	7cot(nx)	$7 \cot (n x)$
15900	Find the Derivative - d/dn	natural log of n	$\ln (n)$