Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51301	Find the Second Derivative	f(x)=(x^2-7x-18)/(x+2)	$f (x) = \frac{x^{2} - 7 x - 18}{x + 2}$
51302	Find the Second Derivative	g(x)=2cos(x)	$g (x) = 2 \cos (x)$
51303	Find the Second Derivative	f(x)=8x^4-6x^2+6	$f (x) = 8 x^{4} - 6 x^{2} + 6$
51304	Find the Second Derivative	f(x)=4x^2-10x-9/(x^3)	$f (x) = 4 x^{2} - 10 x - \frac{9}{x^{3}}$
51305	Find the Second Derivative	f(t)=(7 natural log of t)/t	$f (t) = \frac{7 \ln (t)}{t}$
51306	Find the Second Derivative	f(x)=99x^99	$f (x) = 99 x^{99}$
51307	Find the Second Derivative	S(t)=2t^3-t^2+8t-4	$S (t) = 2 t^{3} - t^{2} + 8 t - 4$
51308	Find the Second Derivative	f(x)=(x^2-6x-27)/(x+3)	$f (x) = \frac{x^{2} - 6 x - 27}{x + 3}$
51309	Find the Second Derivative	f(x)=3x^3+9x^2+5x	$f (x) = 3 x^{3} + 9 x^{2} + 5 x$
51310	Find the Second Derivative	s(t)=2t^3-t^2+6t-4	$s (t) = 2 t^{3} - t^{2} + 6 t - 4$
51311	Find the Second Derivative	f(x) = square root of r+ cube root of r	$f (x) = \sqrt{r} + \sqrt[3]{r}$
51312	Find the Second Derivative	f(x)=(x/12)^15	$f (x) = {(\frac{x}{12})}^{15}$
51313	Find the Second Derivative	f(x)=x^4-4x^3-6x^2+4x-7	$f (x) = x^{4} - 4 x^{3} - 6 x^{2} + 4 x - 7$
51314	Find the Second Derivative	f(x)=x^2+sin(2x)	$f (x) = x^{2} + \sin (2 x)$
51315	Find the Second Derivative	h(s)=s^3(s^2-25s+10)	$h (s) = s^{3} (s^{2} - 25 s + 10)$
51316	Find the Second Derivative	f(x)=7x^3+4x^2+3x	$f (x) = 7 x^{3} + 4 x^{2} + 3 x$
51317	Find the Second Derivative	f(x)=3x^2-12x-4/(x^2)	$f (x) = 3 x^{2} - 12 x - \frac{4}{x^{2}}$
51318	Find the Second Derivative	f(x)=4x^2-11x-9/(x^3)	$f (x) = 4 x^{2} - 11 x - \frac{9}{x^{3}}$
51319	Find the Second Derivative	s(t)=3t^3-t^2+8t-6	$s (t) = 3 t^{3} - t^{2} + 8 t - 6$
51320	Find the Second Derivative	f(x)=(-4x^2+16)^2	$f (x) = {(- 4 x^{2} + 16)}^{2}$
51321	Find the Second Derivative	f(x)=6x^3+3x^2+7x	$f (x) = 6 x^{3} + 3 x^{2} + 7 x$
51322	Find the Second Derivative	f(x)=4x^2+4sin(2x)	$f (x) = 4 x^{2} + 4 \sin (2 x)$
51323	Find the Second Derivative	g(t)=2t^4-4t^2-8	$g (t) = 2 t^{4} - 4 t^{2} - 8$
51324	Find the Second Derivative	f(x)=63/( cube root of x)	$f (x) = \frac{63}{\sqrt[3]{x}}$
51325	Find the Second Derivative	f(x)=e^(4x)sin(3x)	$f (x) = e^{4 x} \sin (3 x)$
51326	Find the Second Derivative	n(t)=5.20t^3-24.53t^2+48.06+69.5	$n (t) = 5.2 t^{3} - 24.53 t^{2} + 48.06 + 69.5$
51327	Find the Second Derivative	s(t)=3t^3-t^2+8t-4	$s (t) = 3 t^{3} - t^{2} + 8 t - 4$
51328	Find the Second Derivative	f(x)=(8x^3-11)^5	$f (x) = {(8 x^{3} - 11)}^{5}$
51329	Find the Second Derivative	f(x)=17x^17+9x^9-x	$f (x) = 17 x^{17} + 9 x^{9} - x$
51330	Find the Second Derivative	S(t)=2t^3-t^2+8t-9	$S (t) = 2 t^{3} - t^{2} + 8 t - 9$
51331	Find the Second Derivative	S(t)=3t^3-t^2+8t-4	$S (t) = 3 t^{3} - t^{2} + 8 t - 4$
51332	Find the Second Derivative	f(x)=0.73x^3-2.80x^2+3.63x+4.0	$f (x) = 0.73 x^{3} - 2.8 x^{2} + 3.63 x + 4$
51333	Find the Second Derivative	s(t)=2t^3-t^2+8t-9	$s (t) = 2 t^{3} - t^{2} + 8 t - 9$
51334	Find the Second Derivative	s(t)=2t^3-t^2+9t-7	$s (t) = 2 t^{3} - t^{2} + 9 t - 7$
51335	Find the Second Derivative	v(r)=k(26r^2-r^3)	$v (r) = k (26 r^{2} - r^{3})$
51336	Find the Second Derivative	f(x)=2+6x-x^2	$f (x) = 2 + 6 x - x^{2}$
51337	Find the Third Derivative	f(x)=(x^3+4x^2-x+5)(x^5-6x^4-7)	$f (x) = (x^{3} + 4 x^{2} - x + 5) (x^{5} - 6 x^{4} - 7)$
51338	Find the Third Derivative	f(x)=x^2+9x-5	$f (x) = x^{2} + 9 x - 5$
51339	Find the Third Derivative	f(x)=0.73x^3-2.80x^2+3.63x+4.0	$f (x) = 0.73 x^{3} - 2.8 x^{2} + 3.63 x + 4$
51340	Find the Third Derivative	f(x)=4x^2-10x-9/(x^3)	$f (x) = 4 x^{2} - 10 x - \frac{9}{x^{3}}$
51341	Find the Third Derivative	g(t) = square root of 5t+10	$g (t) = \sqrt{5 t + 10}$
51342	Find the Third Derivative	f(x)=x^4-8x^3+9	$f (x) = x^{4} - 8 x^{3} + 9$
51343	Find the Third Derivative	n(t)=5.20t^3-24.53t^2+48.06+69.5	$n (t) = 5.2 t^{3} - 24.53 t^{2} + 48.06 + 69.5$
51344	Find the Third Derivative	f(x)=8x^3+2x^2+4x	$f (x) = 8 x^{3} + 2 x^{2} + 4 x$
51345	Find the Third Derivative	f(x)=14x^3-38x^2	$f (x) = 14 x^{3} - 38 x^{2}$
51346	Find the Third Derivative	f(x)=3t^5-20t^3+15	$f (x) = 3 t^{5} - 20 t^{3} + 15$
51347	Find the Third Derivative	f(x)=(x^2+3)(5x^2-3)	$f (x) = (x^{2} + 3) (5 x^{2} - 3)$
51348	Find the Third Derivative	f(x)=3x^2-13x-8/(x^2)	$f (x) = 3 x^{2} - 13 x - \frac{8}{x^{2}}$
51349	Find the Third Derivative	g(t)=2t^4-4t^2-8	$g (t) = 2 t^{4} - 4 t^{2} - 8$
51350	Find the Third Derivative	f(x)=(x^3)/5-2x	$f (x) = \frac{x^{3}}{5} - 2 x$
51351	Find the Third Derivative	f(x)=1/9x^4-5x^2+1	$f (x) = \frac{1}{9} x^{4} - 5 x^{2} + 1$
51352	Find the Third Derivative	f(x)=5x^9-e^(2x)	$f (x) = 5 x^{9} - e^{2 x}$
51353	Find the Third Derivative	f(t)=8/(2t+16)	$f (t) = \frac{8}{2 t + 16}$
51354	Find the Third Derivative	f(x)=16x^3-34x^2	$f (x) = 16 x^{3} - 34 x^{2}$
51355	Find the Third Derivative	x(t)=8sin(t)	$x (t) = 8 \sin (t)$
51356	Find the Third Derivative	f(x)=5cos(x)	$f (x) = 5 \cos (x)$
51357	Find the Third Derivative	f(x)=e^xsin(x)-3e^xcos(x)	$f (x) = e^{x} \sin (x) - 3 e^{x} \cos (x)$
51358	Find the Third Derivative	c(x)=8x^3-64x^2+12000x	$c (x) = 8 x^{3} - 64 x^{2} + 12000 x$
51359	Find the Third Derivative	f(x)=7x^3+6x^2+3x	$f (x) = 7 x^{3} + 6 x^{2} + 3 x$
51360	Find the Third Derivative	f(x)=99x^99	$f (x) = 99 x^{99}$
51361	Find the Third Derivative	f(x)=8x^4-6x^2+6	$f (x) = 8 x^{4} - 6 x^{2} + 6$
51362	Find the Third Derivative	f(x)=3x^5-4x^4+3x^3+5x^2+7	$f (x) = 3 x^{5} - 4 x^{4} + 3 x^{3} + 5 x^{2} + 7$
51363	Find the Third Derivative	f(x)=2x^2+3x+pi^3	$f (x) = 2 x^{2} + 3 x + π^{3}$
51364	Find the Third Derivative	f(x)=7x^3+3x^2+5x	$f (x) = 7 x^{3} + 3 x^{2} + 5 x$
51365	Find the Third Derivative	f(x)=(x^2-4x-21)/(x+3)	$f (x) = \frac{x^{2} - 4 x - 21}{x + 3}$
51366	Find the Third Derivative	S(t)=3t^3-t^2+8t-4	$S (t) = 3 t^{3} - t^{2} + 8 t - 4$
51367	Find the Third Derivative	f(t)=(t^3-2t^2)/(1-t)	$f (t) = \frac{t^{3} - 2 t^{2}}{(1 - t)}$
51368	Find the Third Derivative	s(x)=((3x-6)/(2x+6))^3	$s (x) = {(\frac{3 x - 6}{2 x + 6})}^{3}$
51369	Find the Fourth Derivative	t(n)=3n^(-1/3)+4n^(5/3)	$t (n) = 3 n^{- \frac{1}{3}} + 4 n^{\frac{5}{3}}$
51370	Find the Fourth Derivative	f(x)=3sin(2x)-3cos(4x)	$f (x) = 3 \sin (2 x) - 3 \cos (4 x)$
51371	Find the Fourth Derivative	n(t)=5.20t^3-24.53t^2+48.06+69.5	$n (t) = 5.2 t^{3} - 24.53 t^{2} + 48.06 + 69.5$
51372	Find the Fourth Derivative	g(x)=2cos(x)	$g (x) = 2 \cos (x)$
51373	Find the Fourth Derivative	r(x)=5-3x^2	$r (x) = 5 - 3 x^{2}$
51374	Find the Fourth Derivative	f(x)=8e^(-4x)	$f (x) = 8 e^{- 4 x}$
51375	Find the Fourth Derivative	g(t)=2t^4-4t^2-8	$g (t) = 2 t^{4} - 4 t^{2} - 8$
51376	Find the Fourth Derivative	f(x)=-2x^4+7x^3+4x^2+x	$f (x) = - 2 x^{4} + 7 x^{3} + 4 x^{2} + x$
51377	Find the Fourth Derivative	f(x)=tan(4x)	$f (x) = \tan (4 x)$
51378	Find the Fourth Derivative	f(x)=(2x^3+3x)(x-1)(x+3)	$f (x) = (2 x^{3} + 3 x) (x - 1) (x + 3)$
51379	Find the Fourth Derivative	f(x)=3t^5-20t^3+15	$f (x) = 3 t^{5} - 20 t^{3} + 15$
51380	Find the Fourth Derivative	f(x)=(5x)/(x-6)	$f (x) = \frac{5 x}{x - 6}$
51381	Find the Fourth Derivative	f(x)=(4x-5)^4	$f (x) = {(4 x - 5)}^{4}$
51382	Find the Fourth Derivative	f(x)=6x^5+4x^(1/3) square root of x-10e^(x/2)+3^x	$f (x) = 6 x^{5} + 4 x^{\frac{1}{3}} \sqrt{x} - 10 e^{\frac{x}{2}} + 3^{x}$
51383	Find the Fourth Derivative	f(x)=99x^99	$f (x) = 99 x^{99}$
51384	Find the Fourth Derivative	f(x)=4/(s^2)	$f (x) = \frac{4}{s^{2}}$
51385	Find the Fourth Derivative	f(x)=4x^5-5x^4+4x^3+6x^2+5	$f (x) = 4 x^{5} - 5 x^{4} + 4 x^{3} + 6 x^{2} + 5$
51386	Find the Fourth Derivative	f(x)=sin(x)+x^3-7x+2	$f (x) = \sin (x) + x^{3} - 7 x + 2$
51387	Find the Fourth Derivative	f(x)=x^2+9x-5	$f (x) = x^{2} + 9 x - 5$
51388	Find the Fourth Derivative	f(x)=0.73x^3-2.80x^2+3.63x+4.0	$f (x) = 0.73 x^{3} - 2.8 x^{2} + 3.63 x + 4$
51389	Split Using Partial Fraction Decomposition	y/(y^2-3y-4)	$\frac{y}{y^{2} - 3 y - 4}$
51390	Split Using Partial Fraction Decomposition	(x^2+2)/(x^2-6x+8)	$\frac{x^{2} + 2}{x^{2} - 6 x + 8}$
51391	Split Using Partial Fraction Decomposition	48/(x^2-64)	$\frac{48}{x^{2} - 64}$
51392	Split Using Partial Fraction Decomposition	(14x^2)/(x^4-25x^2+144)	$\frac{14 x^{2}}{x^{4} - 25 x^{2} + 144}$
51393	Split Using Partial Fraction Decomposition	(x-42)/(x^2(x+3))	$\frac{x - 42}{x^{2} (x + 3)}$
51394	Split Using Partial Fraction Decomposition	(x^4-2x^3+x^2+4x-1)/(x^2-2x+1)	$\frac{x^{4} - 2 x^{3} + x^{2} + 4 x - 1}{x^{2} - 2 x + 1}$
51395	Split Using Partial Fraction Decomposition	(x^4)/(x^4-81)	$\frac{x^{4}}{x^{4} - 81}$
51396	Split Using Partial Fraction Decomposition	(x^2+4)/(x^2-14x+48)	$\frac{x^{2} + 4}{x^{2} - 14 x + 48}$
51397	Split Using Partial Fraction Decomposition	(z+10)/(z^2(z-1))	$\frac{z + 10}{z^{2} (z - 1)}$
51398	Split Using Partial Fraction Decomposition	(x^4-2x^3+x^2+7x-4)/(x^2-2x+1)	$\frac{x^{4} - 2 x^{3} + x^{2} + 7 x - 4}{x^{2} - 2 x + 1}$
51399	Split Using Partial Fraction Decomposition	17/((x-1)(x^2+16))	$\frac{17}{(x - 1) (x^{2} + 16)}$
51400	Split Using Partial Fraction Decomposition	48/(x^2-9)	$\frac{48}{x^{2} - 9}$