Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
24101	Find the Critical Points	f(x)=-4x^(3/2)+24x+13	$f (x) = - 4 x^{\frac{3}{2}} + 24 x + 13$
24102	Find dy/dx	6x^2+xy+6y^2=13	$6 x^{2} + x y + 6 y^{2} = 13$
24103	Find the Critical Points	f(x)=3x^4+6x^3-5	$f (x) = 3 x^{4} + 6 x^{3} - 5$
24104	Find dy/dx	ycos(x)=2x^2+4y^2	$y \cos (x) = 2 x^{2} + 4 y^{2}$
24105	Find the Critical Points	f(x)=4x^3-3x^2-36x+2	$f (x) = 4 x^{3} - 3 x^{2} - 36 x + 2$
24106	Find the Critical Points	f(x)=4x^3-48x-4	$f (x) = 4 x^{3} - 48 x - 4$
24107	Find the Asymptotes	f(x)=x+9/x	$f (x) = x + \frac{9}{x}$
24108	Find the Critical Points	f(x)=4x^3-6x^2-24x+5	$f (x) = 4 x^{3} - 6 x^{2} - 24 x + 5$
24109	Find the Critical Points	f(x)=4x^3-27x^2-108x+7	$f (x) = 4 x^{3} - 27 x^{2} - 108 x + 7$
24110	Find the Critical Points	f(x)=4x^3-3x^2-36x+6	$f (x) = 4 x^{3} - 3 x^{2} - 36 x + 6$
24111	Find ds/dt	s=5t^4-4t^5	$s = 5 t^{4} - 4 t^{5}$
24112	Find the Critical Points	f(x)=4x^3-4x	$f (x) = 4 x^{3} - 4 x$
24113	Find the Critical Points	f(x)=4-3x-x^2	$f (x) = 4 - 3 x - x^{2}$
24114	Find the Critical Points	f(x)=4x+1/x	$f (x) = 4 x + \frac{1}{x}$
24115	Find the Critical Points	f(x)=-4x+9x^(4/9)	$f (x) = - 4 x + 9 x^{\frac{4}{9}}$
24116	Find the Critical Points	f(x)=3x^3+9x-1	$f (x) = 3 x^{3} + 9 x - 1$
24117	Find the Critical Points	f(x)=3x^3-5	$f (x) = 3 x^{3} - 5$
24118	Find the Critical Points	f(x)=-3x^2+12x-5	$f (x) = - 3 x^{2} + 12 x - 5$
24119	Find the Critical Points	f(x)=3x^2-18x+24	$f (x) = 3 x^{2} - 18 x + 24$
24120	Find the Critical Points	f(x)=3x^2-12x	$f (x) = 3 x^{2} - 12 x$
24121	Find the Critical Points	f(x)=2x-3	$f (x) = 2 x - 3$
24122	Find the Critical Points	f(x)=3x^(5/3)-15x^(2/3)	$f (x) = 3 x^{\frac{5}{3}} - 15 x^{\frac{2}{3}}$
24123	Find the Critical Points	f(x)=3x^2+4	$f (x) = 3 x^{2} + 4$
24124	Find the Critical Points	f(x)=3x^4+4x^3-6x^2	$f (x) = 3 x^{4} + 4 x^{3} - 6 x^{2}$
24125	Find the Critical Points	f(x)=3x^4+8x^3-18x^2-4	$f (x) = 3 x^{4} + 8 x^{3} - 18 x^{2} - 4$
24126	Find the Critical Points	f(x)=2x+3	$f (x) = 2 x + 3$
24127	Find the Critical Points	f(x)=-3x^4+24x^3-30x^2	$f (x) = - 3 x^{4} + 24 x^{3} - 30 x^{2}$
24128	Find the Critical Points	f(x)=3x^4-28x^3+60x^2	$f (x) = 3 x^{4} - 28 x^{3} + 60 x^{2}$
24129	Find the Critical Points	f(x)=3x^4-18x^2+15	$f (x) = 3 x^{4} - 18 x^{2} + 15$
24130	Find the Critical Points	f(x)=3x^4-4x^3-6x^2+12x+1	$f (x) = 3 x^{4} - 4 x^{3} - 6 x^{2} + 12 x + 1$
24131	Find the Critical Points	f(x)=3x^4-8x^3+6x^2+2	$f (x) = 3 x^{4} - 8 x^{3} + 6 x^{2} + 2$
24132	Find the Critical Points	f(x)=3-x	$f (x) = 3 - x$
24133	Find the Critical Points	f(x)=5x^4-16x	$f (x) = 5 x^{4} - 16 x$
24134	Find the Critical Points	f(x)=5x^4-10x^2-6	$f (x) = 5 x^{4} - 10 x^{2} - 6$
24135	Find the Critical Points	f(x)=5x^3-6x^2+1	$f (x) = 5 x^{3} - 6 x^{2} + 1$
24136	Find the Critical Points	f(x)=5x^4-6x^2+1	$f (x) = 5 x^{4} - 6 x^{2} + 1$
24137	Find the Critical Points	f(x)=5x^2+8x-2	$f (x) = 5 x^{2} + 8 x - 2$
24138	Find the Critical Points	f(x)=5x^3+15x-1	$f (x) = 5 x^{3} + 15 x - 1$
24139	Find the Critical Points	f(x)=5x^2+6x-7	$f (x) = 5 x^{2} + 6 x - 7$
24140	Find the Critical Points	f(x)=5x^2+6x-5	$f (x) = 5 x^{2} + 6 x - 5$
24141	Find the Critical Points	f(x)=-5x^2+4x-1	$f (x) = - 5 x^{2} + 4 x - 1$
24142	Find the Critical Points	f(x)=5x^(2/3)	$f (x) = 5 x^{\frac{2}{3}}$
24143	Find the Critical Points	f(x)=4x-x^2	$f (x) = 4 x - x^{2}$
24144	Find the Critical Points	f(x)=-6x^2+2x^3	$f (x) = - 6 x^{2} + 2 x^{3}$
24145	Find the Critical Points	f(x)=6x^2-6x-12	$f (x) = 6 x^{2} - 6 x - 12$
24146	Find the Critical Points	f(x)=5x^4-30x^2	$f (x) = 5 x^{4} - 30 x^{2}$
24147	Find the Critical Points	f(x)=5x^4-4x^3	$f (x) = 5 x^{4} - 4 x^{3}$
24148	Find the Critical Points	f(x)=6x^3-9x^2-36x	$f (x) = 6 x^{3} - 9 x^{2} - 36 x$
24149	Find the Critical Points	f(x)=6x^4-8x^3	$f (x) = 6 x^{4} - 8 x^{3}$
24150	Find the Critical Points	f(x)=8x^3-12x^2-48x	$f (x) = 8 x^{3} - 12 x^{2} - 48 x$
24151	Find the Critical Points	f(x)=8x^3-3x^4	$f (x) = 8 x^{3} - 3 x^{4}$
24152	Find the Derivative - d/dx	(16x)/(x^2+4)	$\frac{16 x}{x^{2} + 4}$
24153	Find the Critical Points	f(x)=8x^3+x^2+8x	$f (x) = 8 x^{3} + x^{2} + 8 x$
24154	Find the Critical Points	f(x)=8x^3-90x^2-96x+5	$f (x) = 8 x^{3} - 90 x^{2} - 96 x + 5$
24155	Find the Critical Points	f(x)=6x^5+33x^4-30x^3+100	$f (x) = 6 x^{5} + 33 x^{4} - 30 x^{3} + 100$
24156	Find the Critical Points	f(x)=x square root of 30-x^2	$f (x) = x \sqrt{30 - x^{2}}$
24157	Find the Critical Points	f(x)=x square root of 10-x	$f (x) = x \sqrt{10 - x}$
24158	Find the Critical Points	f(x)=x-54/x	$f (x) = x - \frac{54}{x}$
24159	Find the Critical Points	f(x)=x square root of 196-x^2	$f (x) = x \sqrt{196 - x^{2}}$
24160	Find the Critical Points	f(x)=8x^3-6x^2-72x+9	$f (x) = 8 x^{3} - 6 x^{2} - 72 x + 9$
24161	Find the Critical Points	f(x)=8x^3-18x^2-24x+8	$f (x) = 8 x^{3} - 18 x^{2} - 24 x + 8$
24162	Find the Critical Points	f(x)=8x^3-6x^2-336x+1	$f (x) = 8 x^{3} - 6 x^{2} - 336 x + 1$
24163	Find the Critical Points	f(x)=-9x^2-2x^3	$f (x) = - 9 x^{2} - 2 x^{3}$
24164	Find the Critical Points	f(x)=16/(3(x-6)^(1/3))	$f (x) = \frac{16}{3 {(x - 6)}^{\frac{1}{3}}}$
24165	Find the Critical Points	f(x)=(2x+3)/( square root of 4x-5)	$f (x) = \frac{2 x + 3}{\sqrt{4 x - 5}}$
24166	Find the Critical Points	f(x)=2/3x^3-x^2-24x-4	$f (x) = \frac{2}{3} x^{3} - x^{2} - 24 x - 4$
24167	Find the Critical Points	f(x)=2/3x^3-x^2-4x+2	$f (x) = \frac{2}{3} x^{3} - x^{2} - 4 x + 2$
24168	Find the Critical Points	f(x)=(36-2x^2)/( square root of 36-x^2)	$f (x) = \frac{36 - 2 x^{2}}{\sqrt{36 - x^{2}}}$
24169	Find the Critical Points	f(x)=(-4x)/(x+9)	$f (x) = \frac{- 4 x}{x + 9}$
24170	Find the Critical Points	f(x)=(4x)/(x-6)	$f (x) = \frac{4 x}{x - 6}$
24171	Find the Critical Points	f(x)=\|25x^2-4\|	$f (x) = \| 25 x^{2} - 4 \|$
24172	Find the Critical Points	f(x)=(x^2-9)/(x-5)	$f (x) = \frac{x^{2} - 9}{x - 5}$
24173	Find the Critical Points	f(x)=(x^3)/3-36x	$f (x) = \frac{x^{3}}{3} - 36 x$
24174	Find the Critical Points	f(x)=(x^2+25)/x	$f (x) = \frac{x^{2} + 25}{x}$
24175	Find the Critical Points	f(x)=1/3x^3-9x+3	$f (x) = \frac{1}{3} x^{3} - 9 x + 3$
24176	Find the Critical Points	f(x)=1/3x^3-x	$f (x) = \frac{1}{3} x^{3} - x$
24177	Find the Derivative - d/da	e^(ax)sin(Bx)	$e^{a x} \sin (B x)$
24178	Find the Critical Points	f(x)=1/(x+3)	$f (x) = \frac{1}{x + 3}$
24179	Find the Derivative - d/da	cos(a^8+x^8)	$\cos (a^{8} + x^{8})$
24180	Find the Critical Points	f(x)=1/(x^2-2x+8)	$f (x) = \frac{1}{x^{2} - 2 x + 8}$
24181	Find the Critical Points	f(x)=1/(x^2-9)	$f (x) = \frac{1}{x^{2} - 9}$
24182	Find the Critical Points	f(x)=(x^2-1)^3	$f (x) = {(x^{2} - 1)}^{3}$
24183	Find the Critical Points	cos(2x)-x	$\cos (2 x) - x$
24184	Find the Critical Points	f(x)=(4x-6)(5x+1)	$f (x) = (4 x - 6) (5 x + 1)$
24185	Find the Derivative - d/d@VAR	k(t)=(t^2-10)^2	$k (t) = {(t^{2} - 10)}^{2}$
24186	Find the Critical Points	f(x)=(x^2-4)^7	$f (x) = {(x^{2} - 4)}^{7}$
24187	Find the Critical Points	f(x)=(4x-5)^(2/3)	$f (x) = {(4 x - 5)}^{\frac{2}{3}}$
24188	Find the Critical Points	f(x)=(x-1)(x-2)(x-3)	$f (x) = (x - 1) (x - 2) (x - 3)$
24189	Find the Critical Points	f(x)=0.1x+10	$f (x) = 0.1 x + 10$
24190	Find the Critical Points	f(x)=(x-3)/(x^2)	$f (x) = \frac{x - 3}{x^{2}}$
24191	Find the Critical Points	f(x)=(x-3)^(1/3)	$f (x) = {(x - 3)}^{\frac{1}{3}}$
24192	Find the Derivative - d/d@VAR	f(x) = square root of 2	$f (x) = \sqrt{2}$
24193	Find the Critical Points	f(x)=((x-1)^2)/(x-3)	$f (x) = \frac{{(x - 1)}^{2}}{x - 3}$
24194	Find the Critical Points	f(x)=(x-8)^2(x+9)	$f (x) = {(x - 8)}^{2} (x + 9)$
24195	Find the Critical Points	f(x)=(x+5)^(4/5)	$f (x) = {(x + 5)}^{\frac{4}{5}}$
24196	Find the Critical Points	f(x)=(x-1)^2(x-3)	$f (x) = {(x - 1)}^{2} (x - 3)$
24197	Find the Critical Points	f(x)=(x+3)^4	$f (x) = {(x + 3)}^{4}$
24198	Simplify	( natural log of x)^2	$\ln^{2} (x)$
24199	Simplify	(x^3-1/(4x^3))^2	${(x^{3} - \frac{1}{4 x^{3}})}^{2}$
24200	Simplify	e^( natural log of x+ natural log of 2)	$e^{\ln (x) + \ln (2)}$