Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
25101	Evaluate the Derivative at x=1	y=26x-2x^4 , x=1	$y = 26 x - 2 x^{4}$ , $x = 1$
25102	Evaluate the Derivative at x=1	y=34x-2x^4 , x=1	$y = 34 x - 2 x^{4}$ , $x = 1$
25103	Evaluate the Derivative at x=1	y=34x-3x^4 , x=1	$y = 34 x - 3 x^{4}$ , $x = 1$
25104	Evaluate the Derivative at x=2	y=(x^2-3)/(x-2) , x=2	$y = \frac{x^{2} - 3}{x - 2}$ , $x = 2$
25105	Evaluate the Derivative at x=2	y=(2x-9)/(4x+5) , x=2	$y = \frac{2 x - 9}{4 x + 5}$ , $x = 2$
25106	Evaluate the Derivative at x=2	y=(3x-9)/(4x+5) , x=2	$y = \frac{3 x - 9}{4 x + 5}$ , $x = 2$
25107	Evaluate the Derivative at x=2	y=(4x-8)/(2x+3) , x=2	$y = \frac{4 x - 8}{2 x + 3}$ , $x = 2$
25108	Evaluate the Derivative at x=2	y=35x-2x^4 , x=2	$y = 35 x - 2 x^{4}$ , $x = 2$
25109	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x+7)/(x+1)	$f (x) = \frac{x + 7}{x + 1}$
25110	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x+6)/(x+2)	$f (x) = \frac{x + 6}{x + 2}$
25111	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-1)/(x^2+1)	$f (x) = \frac{x - 1}{x^{2} + 1}$
25112	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-1)/(x^2+3)	$f (x) = \frac{x - 1}{x^{2} + 3}$
25113	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-4)/(x-8)	$f (x) = \frac{x - 4}{x - 8}$
25114	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-8x^2+9	$f (x) = x^{4} - 8 x^{2} + 9$
25115	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4+5x^3	$f (x) = x^{4} + 5 x^{3}$
25116	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-6x^2-15	$f (x) = x^{3} - 6 x^{2} - 15$
25117	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4+16x^3	$f (x) = x^{4} + 16 x^{3}$
25118	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3-3x	$f (x) = - x^{3} - 3 x$
25119	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-75x+3	$f (x) = x^{3} - 75 x + 3$
25120	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-6x^2-24x	$f (x) = x^{3} - 6 x^{2} - 24 x$
25121	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-9x^2+24x+12	$f (x) = x^{3} - 9 x^{2} + 24 x + 12$
25122	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-9x^2+24x-18	$f (x) = x^{3} - 9 x^{2} + 24 x - 18$
25123	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-4x^2+3	$f (x) = x^{4} - 4 x^{2} + 3$
25124	Evaluate the Integral	integral from negative infinity to infinity of xe^(1-x^2) with respect to x	$\int_{- \infty}^{\infty} x e^{1 - x^{2}} d x$
25125	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-4x^3+9	$f (x) = x^{4} - 4 x^{3} + 9$
25126	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-10x^2+9	$f (x) = x^{4} - 10 x^{2} + 9$
25127	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-2x^2+3	$f (x) = x^{4} - 2 x^{2} + 3$
25128	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-15x^2-216x	$f (x) = 2 x^{3} - 15 x^{2} - 216 x$
25129	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-15x^2-84x	$f (x) = 2 x^{3} - 15 x^{2} - 84 x$
25130	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+5x^2-12	$f (x) = 2 x^{3} + 5 x^{2} - 12$
25131	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+9x^2+12x+54	$f (x) = 2 x^{3} + 9 x^{2} + 12 x + 54$
25132	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+3x^2-12x-7	$f (x) = 2 x^{3} + 3 x^{2} - 12 x - 7$
25133	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-3x^2-12x+18	$f (x) = 2 x^{3} - 3 x^{2} - 12 x + 18$
25134	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-6x^2-48x+84	$f (x) = 2 x^{3} - 6 x^{2} - 48 x + 84$
25135	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-4x^2+2x-1	$f (x) = 2 x^{3} - 4 x^{2} + 2 x - 1$
25136	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-9x^2+12x+1	$f (x) = 2 x^{3} - 9 x^{2} + 12 x + 1$
25137	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-9x^2-108x	$f (x) = 2 x^{3} - 9 x^{2} - 108 x$
25138	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-9x^2-168x	$f (x) = 2 x^{3} - 9 x^{2} - 168 x$
25139	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-9x^2-240x	$f (x) = 2 x^{3} - 9 x^{2} - 240 x$
25140	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-9x^2-24x	$f (x) = 2 x^{3} - 9 x^{2} - 24 x$
25141	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^4+6x^3	$f (x) = 2 x^{4} + 6 x^{3}$
25142	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-1)/(x+3)	$f (x) = \frac{x - 1}{x + 3}$
25143	Find Where Increasing/Decreasing Using Derivatives	f(x)=12x^3-45x^2-216x+9	$f (x) = 12 x^{3} - 45 x^{2} - 216 x + 9$
25144	Find Where Increasing/Decreasing Using Derivatives	f(x)=1+5/x-9/(x^2)	$f (x) = 1 + \frac{5}{x} - \frac{9}{x^{2}}$
25145	Find Where Increasing/Decreasing Using Derivatives	f(x)=13x^4-78x^2	$f (x) = 13 x^{4} - 78 x^{2}$
25146	Find Where Increasing/Decreasing Using Derivatives	f(x)=2.9+3.8x-0.9x^2	$f (x) = 2.9 + 3.8 x - 0.9 x^{2}$
25147	Find Where Increasing/Decreasing Using Derivatives	f(x)=2.7+3.2x-1.1x^2	$f (x) = 2.7 + 3.2 x - 1.1 x^{2}$
25148	Find Where Increasing/Decreasing Using Derivatives	f(x)=-12x^5+105x^4-240x^3	$f (x) = - 12 x^{5} + 105 x^{4} - 240 x^{3}$
25149	Find Where Increasing/Decreasing Using Derivatives	f(x)=19x+1/x	$f (x) = 19 x + \frac{1}{x}$
25150	Find Where Increasing/Decreasing Using Derivatives	f(x)=x square root of 16-x^2	$f (x) = x \sqrt{16 - x^{2}}$
25151	Find Where Increasing/Decreasing Using Derivatives	f(x)=7x^2-5	$f (x) = 7 x^{2} - 5$
25152	Find Where Increasing/Decreasing Using Derivatives	f(x)=x square root of 8-x^2	$f (x) = x \sqrt{8 - x^{2}}$
25153	Find Where Increasing/Decreasing Using Derivatives	f(x)=8x^3+7x	$f (x) = 8 x^{3} + 7 x$
25154	Find Where Increasing/Decreasing Using Derivatives	f(x)=x(2x-3)^2	$f (x) = x {(2 x - 3)}^{2}$
25155	Find Where Increasing/Decreasing Using Derivatives	f(x)=64x^2+54/x-3	$f (x) = 64 x^{2} + \frac{54}{x} - 3$
25156	Find Where Increasing/Decreasing Using Derivatives	f(x)=-5x^4-4x^2+9	$f (x) = - 5 x^{4} - 4 x^{2} + 9$
25157	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-45x^2+150x	$f (x) = 4 x^{3} - 45 x^{2} + 150 x$
25158	Find Where Increasing/Decreasing Using Derivatives	f(x)=6x^4+24x^3	$f (x) = 6 x^{4} + 24 x^{3}$
25159	Find Where Increasing/Decreasing Using Derivatives	f(x)=5x^3-15x	$f (x) = 5 x^{3} - 15 x$
25160	Find Where Increasing/Decreasing Using Derivatives	f(x)=5x^2-1x+8	$f (x) = 5 x^{2} - 1 x + 8$
25161	Find Where Increasing/Decreasing Using Derivatives	f(x)=5+4x^2-x^4	$f (x) = 5 + 4 x^{2} - x^{4}$
25162	Find Where Increasing/Decreasing Using Derivatives	f(x)=6x^(1/3)	$f (x) = 6 x^{\frac{1}{3}}$
25163	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^3+18x^2-45x	$f (x) = 3 x^{3} + 18 x^{2} - 45 x$
25164	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^3-9x^2	$f (x) = 3 x^{3} - 9 x^{2}$
25165	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^3-36x-5	$f (x) = 3 x^{3} - 36 x - 5$
25166	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^4-6x^2+7	$f (x) = 3 x^{4} - 6 x^{2} + 7$
25167	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-9x^2-60x	$f (x) = 2 x^{3} - 9 x^{2} - 60 x$
25168	Find Where Increasing/Decreasing Using Derivatives	f(x)=2+3x-x^3	$f (x) = 2 + 3 x - x^{3}$
25169	Find Where Increasing/Decreasing Using Derivatives	f(x)=20x^3-3x^5	$f (x) = 20 x^{3} - 3 x^{5}$
25170	Find Where Increasing/Decreasing Using Derivatives	f(x)=-2x-1/2x^2+1/2x^3	$f (x) = - 2 x - \frac{1}{2} x^{2} + \frac{1}{2} x^{3}$
25171	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3+3x^2-6x+1	$f (x) = 4 x^{3} + 3 x^{2} - 6 x + 1$
25172	Find Where Increasing/Decreasing Using Derivatives	f(x)=4(x+2) square root of x	$f (x) = 4 (x + 2) \sqrt{x}$
25173	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^2+4x+6	$f (x) = 4 x^{2} + 4 x + 6$
25174	Find Where Increasing/Decreasing Using Derivatives	f(x)=4-\|x\|	$f (x) = 4 - \| x \|$
25175	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^5-5x^3	$f (x) = 3 x^{5} - 5 x^{3}$
25176	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-24x^2+3	$f (x) = 4 x^{3} - 24 x^{2} + 3$
25177	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-12x^2	$f (x) = 4 x^{3} - 12 x^{2}$
25178	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-32	$f (x) = 4 x^{3} - 32$
25179	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-33x^2-240x+2	$f (x) = 4 x^{3} - 33 x^{2} - 240 x + 2$
25180	Find Where Increasing/Decreasing Using Derivatives	f(x)=4-12x+6x^2-x^3	$f (x) = 4 - 12 x + 6 x^{2} - x^{3}$
25181	Evaluate the Integral	integral of 2/(x^2) with respect to x	$\int \frac{2}{x^{2}} d x$
25182	Find Where Increasing/Decreasing Using Derivatives	f(x)=2/3x^3-x^2-24x-4	$f (x) = \frac{2}{3} x^{3} - x^{2} - 24 x - 4$
25183	Find Where Increasing/Decreasing Using Derivatives	f(x)=(2x)/(x^2-36)	$f (x) = \frac{2 x}{x^{2} - 36}$
25184	Find Where Increasing/Decreasing Using Derivatives	f(x)=3^(-x)	$f (x) = 3^{- x}$
25185	Find Where Increasing/Decreasing Using Derivatives	f(x)=-4/(x^2-2x-3)	$f (x) = \frac{- 4}{x^{2} - 2 x - 3}$
25186	Find Where Increasing/Decreasing Using Derivatives	f(x)=(1+x^2)/(1-x^2)	$f (x) = \frac{1 + x^{2}}{1 - x^{2}}$
25187	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-9x+2	$f (x) = \frac{1}{3} x^{3} - 9 x + 2$
25188	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-x	$f (x) = \frac{1}{3} x^{3} - x$
25189	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/(x^2-4)	$f (x) = \frac{1}{x^{2} - 4}$
25190	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-2)/(x+6)	$f (x) = \frac{x - 2}{x + 6}$
25191	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-1)^(2/3)	$f (x) = {(x - 1)}^{\frac{2}{3}}$
25192	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x+5)^(2/3)	$f (x) = {(x + 5)}^{\frac{2}{3}}$
25193	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2-80)/(x-9)	$f (x) = \frac{x^{2} - 80}{x - 9}$
25194	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2-9)/(x^2-4)	$f (x) = \frac{x^{2} - 9}{x^{2} - 4}$
25195	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^3)/(x^2-4)	$f (x) = \frac{x^{3}}{x^{2} - 4}$
25196	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2+9)/x	$f (x) = \frac{x^{2} + 9}{x}$
25197	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2-63)/(x-8)	$f (x) = \frac{x^{2} - 63}{x - 8}$
25198	Find Where Increasing/Decreasing Using Derivatives	f(x) = square root of x^2+5	$f (x) = \sqrt{x^{2} + 5}$
25199	Find Where Increasing/Decreasing Using Derivatives	f(x)=- square root of x+3	$f (x) = - \sqrt{x + 3}$
25200	Find Where Increasing/Decreasing Using Derivatives	f(x)=(7x-7)/(x+7)	$f (x) = \frac{7 x - 7}{x + 7}$