Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
54101	Find the Local Maxima and Minima	8+6x^2-4x^3	$8 + 6 x^{2} - 4 x^{3}$
54102	Find the Local Maxima and Minima	-10x^2+160x-10	$- 10 x^{2} + 160 x - 10$
54103	Find the Local Maxima and Minima	x^3-5x^2-8x+7	$x^{3} - 5 x^{2} - 8 x + 7$
54104	Find the Local Maxima and Minima	(x+3)/(x^2-5x-24)	$\frac{x + 3}{x^{2} - 5 x - 24}$
54105	Find the Local Maxima and Minima	-(40x)/(x^2+16)	$- \frac{40 x}{x^{2} + 16}$
54106	Find the Local Maxima and Minima	5-7x^2	$5 - 7 x^{2}$
54107	Find the Local Maxima and Minima	2x^3-24x+5	$2 x^{3} - 24 x + 5$
54108	Find the Local Maxima and Minima	-x^(3/2)+6x+10	$- x^{\frac{3}{2}} + 6 x + 10$
54109	Find the Local Maxima and Minima	-x^3+12x-14	$- x^{3} + 12 x - 14$
54110	Find the Local Maxima and Minima	2x^3-39x^2+180x-6	$2 x^{3} - 39 x^{2} + 180 x - 6$
54111	Find the Local Maxima and Minima	1/3x^3-5x+3	$\frac{1}{3} x^{3} - 5 x + 3$
54112	Find the Local Maxima and Minima	2x^3+39x^2+180x	$2 x^{3} + 39 x^{2} + 180 x$
54113	Find the Local Maxima and Minima	e^x(x-4)	$e^{x} (x - 4)$
54114	Find the Local Maxima and Minima	1/3x^3-2x^2+3x+1	$\frac{1}{3} x^{3} - 2 x^{2} + 3 x + 1$
54115	Find the Local Maxima and Minima	x^2+400/x	$x^{2} + \frac{400}{x}$
54116	Find the Local Maxima and Minima	7x-x^2	$7 x - x^{2}$
54117	Find the Local Maxima and Minima	((5-9x)^(2/3))/7+1	$\frac{{(5 - 9 x)}^{\frac{2}{3}}}{7} + 1$
54118	Find the Local Maxima and Minima	x^3+3x-10	$x^{3} + 3 x - 10$
54119	Find the Local Maxima and Minima	-5(3x^2-12)^2+5	$- 5 {(3 x^{2} - 12)}^{2} + 5$
54120	Find the Local Maxima and Minima	x^4-32x^2+6	$x^{4} - 32 x^{2} + 6$
54121	Find the Local Maxima and Minima	x square root of x-10	$x \sqrt{x - 10}$
54122	Find the Local Maxima and Minima	3x^3+9x^2-27x	$3 x^{3} + 9 x^{2} - 27 x$
54123	Find the Local Maxima and Minima	x(2-x)	$x (2 - x)$
54124	Find the Local Maxima and Minima	9.6x-0.014x^2	$9.6 x - 0.014 x^{2}$
54125	Find the Local Maxima and Minima	6x^3+9x^2-1008x	$6 x^{3} + 9 x^{2} - 1008 x$
54126	Find the Local Maxima and Minima	x^4-72x^2	$x^{4} - 72 x^{2}$
54127	Find the Local Maxima and Minima	1/4x^4+x^3-2	$\frac{1}{4} x^{4} + x^{3} - 2$
54128	Find the Local Maxima and Minima	25x^2-16	$25 x^{2} - 16$
54129	Find the Local Maxima and Minima	cos(x)-7x	$\cos (x) - 7 x$
54130	Find the Local Maxima and Minima	6x^(4/3)-7x^(1/3)+8	$6 x^{\frac{4}{3}} - 7 x^{\frac{1}{3}} + 8$
54131	Find the Local Maxima and Minima	x^3+2x^4	$x^{3} + 2 x^{4}$
54132	Find the Local Maxima and Minima	16x+19x^(16/19)	$16 x + 19 x^{\frac{16}{19}}$
54133	Find the Local Maxima and Minima	4x^3-9x^2-12x-3	$4 x^{3} - 9 x^{2} - 12 x - 3$
54134	Find the Local Maxima and Minima	8x^3-75x^2-336x+9	$8 x^{3} - 75 x^{2} - 336 x + 9$
54135	Find the Local Maxima and Minima	x^4-18x^2+9	$x^{4} - 18 x^{2} + 9$
54136	Find Amplitude, Period, and Phase Shift	4cos(660pit-4)	$4 \cos (660 π t - 4)$
54137	Find Amplitude, Period, and Phase Shift	cos(2x-pi)	$\cos (2 x - π)$
54138	Find the Parallel Line	y=3/4x-4 (-1,7)	$y = \frac{3}{4} x - 4$ $(- 1, 7)$
54139	Plot	r=4cos(theta)	$r = 4 \cos (θ)$
54140	Plot	x>=3	$x \geq 3$
54141	Find Where Undefined/Discontinuous	f(x)=(x^2-4x)/(x^2-16)	$f (x) = \frac{x^{2} - 4 x}{x^{2} - 16}$
54142	Find Where Undefined/Discontinuous	f(x)=(x^2-5x+6)/(x^2-4)	$f (x) = \frac{x^{2} - 5 x + 6}{x^{2} - 4}$
54143	Find Where Undefined/Discontinuous	f(x)=1/(x-10)	$f (x) = \frac{1}{x - 10}$
54144	Find Where Undefined/Discontinuous	f(x)=(x^2-3x-4)/(x-4)	$f (x) = \frac{x^{2} - 3 x - 4}{x - 4}$
54145	Find the Inflection Points	x^4-8x^3+18x^2+2	$x^{4} - 8 x^{3} + 18 x^{2} + 2$
54146	Find the Inflection Points	(4x)/(x^2-16)	$\frac{4 x}{x^{2} - 16}$
54147	Find the Inflection Points	natural log of x^2-2x+17	$\ln (x^{2} - 2 x + 17)$
54148	Find the Inflection Points	x^5-3x^3+4	$x^{5} - 3 x^{3} + 4$
54149	Find the Inflection Points	2x^3-3x^2+8x-9	$2 x^{3} - 3 x^{2} + 8 x - 9$
54150	Find the Inflection Points	6x^2-x^3	$6 x^{2} - x^{3}$
54151	Find the Inflection Points	2x^3+18x^2+30x+2	$2 x^{3} + 18 x^{2} + 30 x + 2$
54152	Find the Inflection Points	x^4-6x^2+10	$x^{4} - 6 x^{2} + 10$
54153	Find the Inflection Points	1/12x^4-2x^2+15	$\frac{1}{12} x^{4} - 2 x^{2} + 15$
54154	Find the Inflection Points	(x+1)/(x^2-7x-8)	$\frac{x + 1}{x^{2} - 7 x - 8}$
54155	Find the Inflection Points	17x+17e^x	$17 x + 17 e^{x}$
54156	Find the Inflection Points	natural log of x^2-6x+34	$\ln (x^{2} - 6 x + 34)$
54157	Find the Inflection Points	x^3+6x^2-3x-3	$x^{3} + 6 x^{2} - 3 x - 3$
54158	Expand the Logarithmic Expression	log of x(x^2+4)^(-1/2)	$\log (x {(x^{2} + 4)}^{- \frac{1}{2}})$
54159	Expand the Logarithmic Expression	log of (z^4)/( square root of xy^3)	$\log (\frac{z^{4}}{\sqrt{x y^{3}}})$
54160	Find the Roots (Zeros)	f(x)=(-25x^2+9)^2	$f (x) = {(- 25 x^{2} + 9)}^{2}$
54161	Find the Roots (Zeros)	f(x)=x^3-73x+72	$f (x) = x^{3} - 73 x + 72$
54162	Find the Roots (Zeros)	f(x)=x^3+7x^2-215x-221	$f (x) = x^{3} + 7 x^{2} - 215 x - 221$
54163	Find the Roots (Zeros)	f(x)=x^3-21x+20	$f (x) = x^{3} - 21 x + 20$
54164	Find the Roots (Zeros)	f(x)=x^3+7x^2-113x-119	$f (x) = x^{3} + 7 x^{2} - 113 x - 119$
54165	Find the Roots (Zeros)	f(x)=x^3+8x^2-16x-128	$f (x) = x^{3} + 8 x^{2} - 16 x - 128$
54166	Find the Roots (Zeros)	P(x)=x^4-9	$P (x) = x^{4} - 9$
54167	Find the Roots (Zeros)	f(x)=x^3-5x^2-9x+18	$f (x) = x^{3} - 5 x^{2} - 9 x + 18$
54168	Find the Roots (Zeros)	f(x)=x^4-2x^3+78x^2+166x+85	$f (x) = x^{4} - 2 x^{3} + 78 x^{2} + 166 x + 85$
54169	Find the Local Maxima and Minima	f(x)=sin(2x)-2sin(x)	$f (x) = \sin (2 x) - 2 \sin (x)$
54170	Find the Local Maxima and Minima	f(x)=x^2-6x+12	$f (x) = x^{2} - 6 x + 12$
54171	Find the Local Maxima and Minima	f(x)=cos(2x)	$f (x) = \cos (2 x)$
54172	Find the Local Maxima and Minima	f(x)=5x square root of 4-x	$f (x) = 5 x \sqrt{4 - x}$
54173	Find the Local Maxima and Minima	f(x)=2x+50/x	$f (x) = 2 x + \frac{50}{x}$
54174	Find the Local Maxima and Minima	f(x)=9x+64/x	$f (x) = 9 x + \frac{64}{x}$
54175	Find the Local Maxima and Minima	f(x)=-0.1x^2+0.8x+6	$f (x) = - 0.1 x^{2} + 0.8 x + 6$
54176	Find the Local Maxima and Minima	f(x)=(3e^x)/(x^5)	$f (x) = \frac{3 e^{x}}{x^{5}}$
54177	Find the Local Maxima and Minima	f(x)=x^3-48x+123	$f (x) = x^{3} - 48 x + 123$
54178	Find the Local Maxima and Minima	f(x)=x-36/x	$f (x) = x - \frac{36}{x}$
54179	Find the Local Maxima and Minima	p(x)=2x^4+3x^3-19x^2-8x-48	$p (x) = 2 x^{4} + 3 x^{3} - 19 x^{2} - 8 x - 48$
54180	Find the Local Maxima and Minima	f(x) = square root of x^3-12x^2+45x+2	$f (x) = \sqrt{x^{3} - 12 x^{2} + 45 x + 2}$
54181	Find the Local Maxima and Minima	f(x)=(-25x^2+9)^2	$f (x) = {(- 25 x^{2} + 9)}^{2}$
54182	Find the Local Maxima and Minima	f(x)=-5x^3+x^4	$f (x) = - 5 x^{3} + x^{4}$
54183	Find the Local Maxima and Minima	f(x)=(-25x^2+1)^2	$f (x) = {(- 25 x^{2} + 1)}^{2}$
54184	Find the Local Maxima and Minima	h(x)=1/2x^4-108x^2+864x-6	$h (x) = \frac{1}{2} x^{4} - 108 x^{2} + 864 x - 6$
54185	Find the Local Maxima and Minima	f(x)=7x^2-14x+6	$f (x) = 7 x^{2} - 14 x + 6$
54186	Find the Local Maxima and Minima	f(x)=1/3x^3-4x^2+16x-2	$f (x) = \frac{1}{3} x^{3} - 4 x^{2} + 16 x - 2$
54187	Find the Local Maxima and Minima	f(x)=-x^3+3x-7	$f (x) = - x^{3} + 3 x - 7$
54188	Find the Local Maxima and Minima	f(x)=16x+1/x	$f (x) = 16 x + \frac{1}{x}$
54189	Find the Local Maxima and Minima	f(x)=25x+49/x	$f (x) = 25 x + \frac{49}{x}$
54190	Find the Local Maxima and Minima	g(x)=-1-12x-2x^2	$g (x) = - 1 - 12 x - 2 x^{2}$
54191	Find the Local Maxima and Minima	f(x)=x^3-2x^4	$f (x) = x^{3} - 2 x^{4}$
54192	Find the Local Maxima and Minima	f(x)=(2x)/(x^2-25)	$f (x) = \frac{2 x}{x^{2} - 25}$
54193	Find the Local Maxima and Minima	V(r)=k(16r^2-r^3)	$V (r) = k (16 r^{2} - r^{3})$
54194	Find the Local Maxima and Minima	f(x)=10x natural log of \|x\|	$f (x) = 10 x \ln (\| x \|)$
54195	Find the Local Maxima and Minima	f(x)=x^3-12x+11	$f (x) = x^{3} - 12 x + 11$
54196	Find the Inflection Points	(2x)/(9x^2-4)	$\frac{2 x}{9 x^{2} - 4}$
54197	Find the Inflection Points	1/3x^3-2x^2+3x+1	$\frac{1}{3} x^{3} - 2 x^{2} + 3 x + 1$
54198	Find the Inflection Points	2(x^2-48)^2	$2 {(x^{2} - 48)}^{2}$
54199	Find the Inflection Points	x^4-6x^2-4	$x^{4} - 6 x^{2} - 4$
54200	Find the Inflection Points	(4x)/(x^2-1)	$\frac{4 x}{x^{2} - 1}$