Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51401	Split Using Partial Fraction Decomposition	4/(x^2-8x)	$\frac{4}{x^{2} - 8 x}$
51402	Split Using Partial Fraction Decomposition	81/(x^3-9x^2)	$\frac{81}{x^{3} - 9 x^{2}}$
51403	Split Using Partial Fraction Decomposition	(48x^2)/((x-6)(x+2)^2)	$\frac{48 x^{2}}{(x - 6) {(x + 2)}^{2}}$
51404	Split Using Partial Fraction Decomposition	(z+12)/(z^2(z-1))	$\frac{z + 12}{z^{2} (z - 1)}$
51405	Split Using Partial Fraction Decomposition	(x^4)/(x^4-16)	$\frac{x^{4}}{x^{4} - 16}$
51406	Split Using Partial Fraction Decomposition	(z+7)/(z^2(z-1))	$\frac{z + 7}{z^{2} (z - 1)}$
51407	Split Using Partial Fraction Decomposition	(x^2)/((x-1)^3)	$\frac{x^{2}}{{(x - 1)}^{3}}$
51408	Split Using Partial Fraction Decomposition	(7x-21)/((x-7)(x+1))	$\frac{7 x - 21}{(x - 7) (x + 1)}$
51409	Split Using Partial Fraction Decomposition	(16x^2)/((x-9)(x+3)^2)	$\frac{16 x^{2}}{(x - 9) {(x + 3)}^{2}}$
51410	Split Using Partial Fraction Decomposition	(4x^2+3x+7)/((x+1)(x^2+1))	$\frac{4 x^{2} + 3 x + 7}{(x + 1) (x^{2} + 1)}$
51411	Split Using Partial Fraction Decomposition	1/(81x^2-25)	$\frac{1}{81 x^{2} - 25}$
51412	Split Using Partial Fraction Decomposition	(x+4)/(x^2+5x-6)	$\frac{x + 4}{x^{2} + 5 x - 6}$
51413	Find the Critical Points	f(x)=x^4e^(-9x)	$f (x) = x^{4} e^{- 9 x}$
51414	Find the Critical Points	f(x)=e^(-1.5x^2)	$f (x) = e^{- 1.5 x^{2}}$
51415	Find the Critical Points	f(x)=x^2+8x+13	$f (x) = x^{2} + 8 x + 13$
51416	Find the Critical Points	f(x)=x^3-3x^2-9x+7	$f (x) = x^{3} - 3 x^{2} - 9 x + 7$
51417	Find the Critical Points	f(x)=9x^2-4	$f (x) = 9 x^{2} - 4$
51418	Find the Critical Points	f(t)=t^3+3t^2	$f (t) = t^{3} + 3 t^{2}$
51419	Find the Critical Points	f(x)=-7x^3+21x+4	$f (x) = - 7 x^{3} + 21 x + 4$
51420	Find the Critical Points	f(x)=x^5+5x^4+95	$f (x) = x^{5} + 5 x^{4} + 95$
51421	Find the Critical Points	h(p)=(p-2)/(p^2+2)	$h (p) = \frac{p - 2}{p^{2} + 2}$
51422	Find the Critical Points	g(t)=\|2t-7\|	$g (t) = \| 2 t - 7 \|$
51423	Find the Critical Points	f(x)=-x^3+9x^2-15x-1	$f (x) = - x^{3} + 9 x^{2} - 15 x - 1$
51424	Find the Critical Points	f(x)=x^3-27x+47	$f (x) = x^{3} - 27 x + 47$
51425	Find the Critical Points	f(x)=-10x^2-120x-5	$f (x) = - 10 x^{2} - 120 x - 5$
51426	Find the Critical Points	f(x)=x^4+8x^3-14x^2+3	$f (x) = x^{4} + 8 x^{3} - 14 x^{2} + 3$
51427	Find the Critical Points	f(x)=0.6x^2-4.2x+6	$f (x) = 0.6 x^{2} - 4.2 x + 6$
51428	Find the Critical Points	f(x)=cos(x)^2-sin(x)	$f (x) = \cos^{2} (x) - \sin (x)$
51429	Find the Critical Points	g(x)=-5x^3-3x^4	$g (x) = - 5 x^{3} - 3 x^{4}$
51430	Find the Critical Points	f(x)=80x^3-3x^5	$f (x) = 80 x^{3} - 3 x^{5}$
51431	Find the Critical Points	f(x)=12x^3-81x^2-1008x+5	$f (x) = 12 x^{3} - 81 x^{2} - 1008 x + 5$
51432	Find the Critical Points	f(x)=x^4+4x^3+4x^2+5	$f (x) = x^{4} + 4 x^{3} + 4 x^{2} + 5$
51433	Find the Critical Points	f(x)=( natural log of x)/x	$f (x) = \frac{(\ln (x))}{x}$
51434	Find the Critical Points	f(x)=x^3-8x^2-12x+2	$f (x) = x^{3} - 8 x^{2} - 12 x + 2$
51435	Find the Critical Points	f(x)=x^3-3x^2-9x+9	$f (x) = x^{3} - 3 x^{2} - 9 x + 9$
51436	Find the Critical Points	f(x)=8x^3-54x^2-672x+2	$f (x) = 8 x^{3} - 54 x^{2} - 672 x + 2$
51437	Find the Critical Points	f(x)=7(-3x^2+12)^2+1	$f (x) = 7 {(- 3 x^{2} + 12)}^{2} + 1$
51438	Find the Critical Points	f(x)=x^4e^(-5x)	$f (x) = x^{4} e^{- 5 x}$
51439	Find the Critical Points	f(x)=100x+81/x	$f (x) = 100 x + \frac{81}{x}$
51440	Find the Critical Points	f(x)=5x^2+8x-7	$f (x) = 5 x^{2} + 8 x - 7$
51441	Find the Critical Points	f(x)=2.5+3.2x-1.1x^2	$f (x) = 2.5 + 3.2 x - 1.1 x^{2}$
51442	Find the Critical Points	f(x)=5x^2-2x+4	$f (x) = 5 x^{2} - 2 x + 4$
51443	Find the Critical Points	K(x)=xe^(3x)	$K (x) = x e^{3 x}$
51444	Find the Critical Points	g(t)=\|5t-2\|	$g (t) = \| 5 t - 2 \|$
51445	Find the Critical Points	f(x)=19x^4-144x^2	$f (x) = 19 x^{4} - 144 x^{2}$
51446	Find the Critical Points	h(x)=cos((3x)/2)	$h (x) = \cos (\frac{3 x}{2})$
51447	Find the Critical Points	g(t)=t square root of 16-t	$g (t) = t \sqrt{16 - t}$
51448	Find the Critical Points	f(x)=4x^3-3x^2-36x+7	$f (x) = 4 x^{3} - 3 x^{2} - 36 x + 7$
51449	Find the Critical Points	f(x)=-1/3x^3+4x^2-15x-12	$f (x) = - \frac{1}{3} x^{3} + 4 x^{2} - 15 x - 12$
51450	Find the Critical Points	g(t)=\|2t-5\|	$g (t) = \| 2 t - 5 \|$
51451	Find the Critical Points	g(t)=\|3t-2\|	$g (t) = \| 3 t - 2 \|$
51452	Find the Critical Points	f(x)=1/3x^3-4x^2+16x-4	$f (x) = \frac{1}{3} x^{3} - 4 x^{2} + 16 x - 4$
51453	Find the Critical Points	f(x)=(7x)/(x^2+16)	$f (x) = \frac{7 x}{x^{2} + 16}$
51454	Find the Critical Points	f(x)=2.7+2.6x-0.8x^2	$f (x) = 2.7 + 2.6 x - 0.8 x^{2}$
51455	Find the Critical Points	f(x)=10cos(x)+5sin(2x)	$f (x) = 10 \cos (x) + 5 \sin (2 x)$
51456	Find the Critical Points	v(x)=4x^3-39x^2+90x	$v (x) = 4 x^{3} - 39 x^{2} + 90 x$
51457	Find the Critical Points	f(x)=2.5+1.6x-0.3x^2	$f (x) = 2.5 + 1.6 x - 0.3 x^{2}$
51458	Find the Critical Points	f(x)=3x^(2/3)+x^(5/3)	$f (x) = 3 x^{\frac{2}{3}} + x^{\frac{5}{3}}$
51459	Find the Critical Points	f(x)=4x^3-39x^2-144x+9	$f (x) = 4 x^{3} - 39 x^{2} - 144 x + 9$
51460	Find the Critical Points	f(x)=12x^3-99x^2-720x+1	$f (x) = 12 x^{3} - 99 x^{2} - 720 x + 1$
51461	Find the Critical Points	f(x)=-x^2+8x-5	$f (x) = - x^{2} + 8 x - 5$
51462	Find the Critical Points	f(x)=2.2+5.8x-2.4x^2	$f (x) = 2.2 + 5.8 x - 2.4 x^{2}$
51463	Find the Critical Points	f(x)=4x^3-63x^2+162x-1	$f (x) = 4 x^{3} - 63 x^{2} + 162 x - 1$
51464	Find the Critical Points	g(t)=t square root of 10-t	$g (t) = t \sqrt{10 - t}$
51465	Find the Critical Points	f(x)=-x^2+8x-8	$f (x) = - x^{2} + 8 x - 8$
51466	Find the Critical Points	a(x)=x(400-2x)	$a (x) = x (400 - 2 x)$
51467	Find the Critical Points	f(x)=(x+5)^(1/3)	$f (x) = {(x + 5)}^{\frac{1}{3}}$
51468	Find the Critical Points	f(x)=2.8+1.8x-0.4x^2	$f (x) = 2.8 + 1.8 x - 0.4 x^{2}$
51469	Find the Critical Points	f(x)=x^2+160/x	$f (x) = x^{2} + \frac{160}{x}$
51470	Find the Critical Points	f(x)=2x^3-30x^2+126x	$f (x) = 2 x^{3} - 30 x^{2} + 126 x$
51471	Find the Critical Points	g(t)=t square root of 5-t	$g (t) = t \sqrt{5 - t}$
51472	Find the Critical Points	f(x)=x^3+9x^2-21x	$f (x) = x^{3} + 9 x^{2} - 21 x$
51473	Find the Critical Points	f(x)=2x^3-3x^2-12x+20	$f (x) = 2 x^{3} - 3 x^{2} - 12 x + 20$
51474	Find the Critical Points	r(x)=2800x-8x^2-x^3	$r (x) = 2800 x - 8 x^{2} - x^{3}$
51475	Find the Critical Points	f(x)=1/3x^3+1/2x^2-6x+8	$f (x) = \frac{1}{3} x^{3} + \frac{1}{2} x^{2} - 6 x + 8$
51476	Find the Critical Points	f(x)=3x^2-48	$f (x) = 3 x^{2} - 48$
51477	Find the Critical Points	h(p)=(p-5)/(p^2+2)	$h (p) = \frac{p - 5}{p^{2} + 2}$
51478	Find the Critical Points	f(x)=12x^3-45x^2-756x+5	$f (x) = 12 x^{3} - 45 x^{2} - 756 x + 5$
51479	Find the Critical Points	f(x)=8x^3-6x^2-72x+6	$f (x) = 8 x^{3} - 6 x^{2} - 72 x + 6$
51480	Find the Critical Points	f(x)=(3x^2+5x-12)/(x^2-4)	$f (x) = \frac{3 x^{2} + 5 x - 12}{x^{2} - 4}$
51481	Find the Critical Points	s(t)=-16t^2+30t+5	$s (t) = - 16 t^{2} + 30 t + 5$
51482	Find the Critical Points	f(x)=6x^5-5x^6	$f (x) = 6 x^{5} - 5 x^{6}$
51483	Find the Critical Points	f(x)=6x^2-8x	$f (x) = 6 x^{2} - 8 x$
51484	Find the Critical Points	f(x)=2x^3-3x^2-72x+6	$f (x) = 2 x^{3} - 3 x^{2} - 72 x + 6$
51485	Find the Critical Points	f(x)=x^3(2x^2+x-3)^2	$f (x) = x^{3} {(2 x^{2} + x - 3)}^{2}$
51486	Find the Critical Points	f(x)=-x^3+3x+7	$f (x) = - x^{3} + 3 x + 7$
51487	Find the Critical Points	f(x)=10/3x^3-41/2x^2+4x+6	$f (x) = \frac{10}{3} x^{3} - \frac{41}{2} x^{2} + 4 x + 6$
51488	Find the Critical Points	f(x)=2x^2+5x-1	$f (x) = 2 x^{2} + 5 x - 1$
51489	Find the Critical Points	f(x)=4x+9x^(4/9)	$f (x) = 4 x + 9 x^{\frac{4}{9}}$
51490	Find the Critical Points	g(x)=x^3-4x^2-3x-5	$g (x) = x^{3} - 4 x^{2} - 3 x - 5$
51491	Find the Critical Points	f(x)=(x-9)e^(-x)	$f (x) = (x - 9) e^{- x}$
51492	Find the Critical Points	F(x)=4x^3+12x^2-96x+8	$F (x) = 4 x^{3} + 12 x^{2} - 96 x + 8$
51493	Find the Critical Points	f(x)=1/3x^3-x^(2/3)	$f (x) = \frac{1}{3} x^{3} - x^{\frac{2}{3}}$
51494	Find the Critical Points	f(x)=e^x-2x^2	$f (x) = e^{x} - 2 x^{2}$
51495	Find the Critical Points	f(x)=3x^2-66x	$f (x) = 3 x^{2} - 66 x$
51496	Find the Critical Points	f(x)=2x^3+3x^2-120x+4	$f (x) = 2 x^{3} + 3 x^{2} - 120 x + 4$
51497	Find the Critical Points	f(x)=(x^2-8x+16)/(x-9)	$f (x) = \frac{x^{2} - 8 x + 16}{x - 9}$
51498	Find the Critical Points	f(x)=7+1/6x-1/2x^2	$f (x) = 7 + \frac{1}{6} x - \frac{1}{2} x^{2}$
51499	Find the Critical Points	f(x)=2.6+2.2x-0.6x^2	$f (x) = 2.6 + 2.2 x - 0.6 x^{2}$
51500	Find the Critical Points	f(x)=8x^3-66x^2-72x+3	$f (x) = 8 x^{3} - 66 x^{2} - 72 x + 3$