Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9401	Find the Inflection Points	y=x^(1/3)(x-4)	$y = x^{\frac{1}{3}} (x - 4)$
9402	Find the Inflection Points	y=(3x)/(x^2-1)	$y = \frac{3 x}{x^{2} - 1}$
9403	Find the Inflection Points	y=x^3+3x^2+2	$y = x^{3} + 3 x^{2} + 2$
9404	Find the Inflection Points	y=x^3-12x+3	$y = x^{3} - 12 x + 3$
9405	Find the Inflection Points	y=x^3-5x^2-8x+3	$y = x^{3} - 5 x^{2} - 8 x + 3$
9406	Find the Inflection Points	y=x^3-6x^2-96x	$y = x^{3} - 6 x^{2} - 96 x$
9407	Find the Inflection Points	y=x^3-7x^2-24x+4	$y = x^{3} - 7 x^{2} - 24 x + 4$
9408	Find the Inflection Points	y=x^3-7x^2-5x+1	$y = x^{3} - 7 x^{2} - 5 x + 1$
9409	Find the Inflection Points	y=x^4-3x^2	$y = x^{4} - 3 x^{2}$
9410	Find the Inflection Points	y=-x^4+8x^3-8x+19	$y = - x^{4} + 8 x^{3} - 8 x + 19$
9411	Evaluate the Integral	integral of e^(10x) with respect to x	$\int e^{10 x} d x$
9412	Find the Inflection Points	f(x)=-3x^4+28x^3-60x^2	$f (x) = - 3 x^{4} + 28 x^{3} - 60 x^{2}$
9413	Find the Inflection Points	f(x)=3x^4-4x^3	$f (x) = 3 x^{4} - 4 x^{3}$
9414	Find the Inflection Points	f(x)=3x^4-4x^3+1	$f (x) = 3 x^{4} - 4 x^{3} + 1$
9415	Find the Inflection Points	f(x)=6x^4+32x^3	$f (x) = 6 x^{4} + 32 x^{3}$
9416	Find the Inflection Points	f(x)=x square root of 4-x^2	$f (x) = x \sqrt{4 - x^{2}}$
9417	Find the Critical Points	y=((x+1)/(x-1))^7	$y = {(\frac{x + 1}{x - 1})}^{7}$
9418	Find the Critical Points	y=(x-7)^3	$y = {(x - 7)}^{3}$
9419	Find the Critical Points	y=x/(x^2+25)	$y = \frac{x}{x^{2} + 25}$
9420	Find the Critical Points	y=x/(x^2+36)	$y = \frac{x}{x^{2} + 36}$
9421	Find the Critical Points	y=x/(x^2+4)	$y = \frac{x}{x^{2} + 4}$
9422	Find the Critical Points	y=x/(x^2+9)	$y = \frac{x}{x^{2} + 9}$
9423	Find the Critical Points	y=x^3-3x+3	$y = x^{3} - 3 x + 3$
9424	Find the Critical Points	y=x^3-4x^2-3x+1	$y = x^{3} - 4 x^{2} - 3 x + 1$
9425	Find the Critical Points	y=x^3-3x^2	$y = x^{3} - 3 x^{2}$
9426	Find the Critical Points	y=x^3-3x^2+1	$y = x^{3} - 3 x^{2} + 1$
9427	Find the Critical Points	y=x^4-3x^2	$y = x^{4} - 3 x^{2}$
9428	Find the Critical Points	y=x^3-4x^2-3x+9	$y = x^{3} - 4 x^{2} - 3 x + 9$
9429	Find the Critical Points	y=x^3-6x^2+12x-6	$y = x^{3} - 6 x^{2} + 12 x - 6$
9430	Find the Critical Points	y=x^3-7x^2-5x+9	$y = x^{3} - 7 x^{2} - 5 x + 9$
9431	Find the Critical Points	y=x^3-9x^2-48x	$y = x^{3} - 9 x^{2} - 48 x$
9432	Find the Critical Points	y=x^3-9x^2-81x	$y = x^{3} - 9 x^{2} - 81 x$
9433	Find the Critical Points	y=x^(2/3)(x+2)	$y = x^{\frac{2}{3}} (x + 2)$
9434	Find the Critical Points	y=x^(4/5)(x+3)	$y = x^{\frac{4}{5}} (x + 3)$
9435	Find the Critical Points	tan(x)	$\tan (x)$
9436	Find the Critical Points	g(x)=2x^2-68x	$g (x) = 2 x^{2} - 68 x$
9437	Find the Critical Points	y=3x^(2/3)-2x	$y = 3 x^{\frac{2}{3}} - 2 x$
9438	Find the Critical Points	y=1.1-0.3x-0.3x^2	$y = 1.1 - 0.3 x - 0.3 x^{2}$
9439	Find the Critical Points	y=3x^3-36x-2	$y = 3 x^{3} - 36 x - 2$
9440	Find the Critical Points	y=4x^3-48x-2	$y = 4 x^{3} - 48 x - 2$
9441	Find the Critical Points	y=4x^3-48x-3	$y = 4 x^{3} - 48 x - 3$
9442	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x+3x^2-x^3	$f (x) = 4 x + 3 x^{2} - x^{3}$
9443	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-12x+2	$f (x) = x^{3} - 12 x + 2$
9444	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-3x^2-9x+10	$f (x) = x^{3} - 3 x^{2} - 9 x + 10$
9445	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-3x+4	$f (x) = x^{3} - 3 x + 4$
9446	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-12x	$f (x) = x^{3} - 12 x$
9447	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3+3x^2-9x+2	$f (x) = x^{3} + 3 x^{2} - 9 x + 2$
9448	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^2+4x+4	$f (x) = x^{2} + 4 x + 4$
9449	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^2-8x	$f (x) = x^{2} - 8 x$
9450	Find Where Increasing/Decreasing Using Derivatives	f(x)=x/(x-1)	$f (x) = \frac{x}{x - 1}$
9451	Find Where Increasing/Decreasing Using Derivatives	f(x)=x/(x+1)	$f (x) = \frac{x}{x + 1}$
9452	Find Where Increasing/Decreasing Using Derivatives	f(x)=x/(1-x)	$f (x) = \frac{x}{1 - x}$
9453	Find Where Increasing/Decreasing Using Derivatives	f(x)=5/(x+5)	$f (x) = \frac{5}{x + 5}$
9454	Find Where Increasing/Decreasing Using Derivatives	f(x) = square root of x^2+4	$f (x) = \sqrt{x^{2} + 4}$
9455	Find Where Increasing/Decreasing Using Derivatives	f(x) = square root of 4-x	$f (x) = \sqrt{4 - x}$
9456	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2)/(x^2-25)	$f (x) = \frac{x^{2}}{x^{2} - 25}$
9457	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-3x^2+9x+20	$f (x) = \frac{1}{3} x^{3} - 3 x^{2} + 9 x + 20$
9458	Find Where Increasing/Decreasing Using Derivatives	f(x)=(2x^2)/(x^2-16)	$f (x) = \frac{2 x^{2}}{x^{2} - 16}$
9459	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^2-8x^3	$f (x) = 3 x^{2} - 8 x^{3}$
9460	Find Where Increasing/Decreasing Using Derivatives	f(x)=5x^(4/7)-x^(5/7)	$f (x) = 5 x^{\frac{4}{7}} - x^{\frac{5}{7}}$
9461	Find Where Increasing/Decreasing Using Derivatives	f(x)=6x^4+32x^3	$f (x) = 6 x^{4} + 32 x^{3}$
9462	Find Where Increasing/Decreasing Using Derivatives	f(x)=x square root of x+2	$f (x) = x \sqrt{x + 2}$
9463	Find Where Increasing/Decreasing Using Derivatives	f(x)=x-x^3	$f (x) = x - x^{3}$
9464	Find Where Increasing/Decreasing Using Derivatives	f(x)=x+9/x	$f (x) = x + \frac{9}{x}$
9465	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-21x^2-48x	$f (x) = 2 x^{3} - 21 x^{2} - 48 x$
9466	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-15x^2-36x	$f (x) = 2 x^{3} - 15 x^{2} - 36 x$
9467	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-18x^2	$f (x) = x^{4} - 18 x^{2}$
9468	Find the Derivative - d/d@VAR	f(x)=7-x^2	$f (x) = 7 - x^{2}$
9469	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-50x^2+1	$f (x) = x^{4} - 50 x^{2} + 1$
9470	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-8x^2-20x	$f (x) = x^{3} - 8 x^{2} - 20 x$
9471	Evaluate the Derivative at x=1	y=24x-4x^4 , x=1	$y = 24 x - 4 x^{4}$ , $x = 1$
9472	Evaluate the Derivative at x=3	y=(4x-6)/(3x+8) , x=3	$y = \frac{4 x - 6}{3 x + 8}$ , $x = 3$
9473	Evaluate the Derivative at x=0	y = square root of 7-3x , x=0	$y = \sqrt{7 - 3 x}$ , $x = 0$
9474	Evaluate the Derivative at t=4	s=7t^3-9t^2 , t=4	$s = 7 t^{3} - 9 t^{2}$ , $t = 4$
9475	Evaluate the Derivative at t=5	y=1-t , t=5	$y = 1 - t$ , $t = 5$
9476	Evaluate the Derivative at u=sin(x)	y=cos(u) , u=sin(x)	$y = \cos (u)$ , $u = \sin (x)$
9477	Evaluate the Derivative at t=3	x=2t^2+t , t=3	$x = 2 t^{2} + t$ , $t = 3$
9478	Find the Slope	f(2)=4 , g(5)=3	$f (2) = 4$ , $g (5) = 3$
9479	Find the Absolute Max and Min over the Interval	f(x)=x^3-x^2-8x+4 , [-2,0]	$f (x) = x^{3} - x^{2} - 8 x + 4$ , $[- 2, 0]$
9480	Find the Absolute Max and Min over the Interval	f(x)=3-x , [-1,2]	$f (x) = 3 - x$ , $[- 1, 2]$
9481	Find the Absolute Max and Min over the Interval	f(x)=3x^(2/3)-2x , [-1,1]	$f (x) = 3 x^{\frac{2}{3}} - 2 x$ , $[- 1, 1]$
9482	Find dy/dx	16x^4+32x^2y^2+16y^4=144x^2-144y^2	$16 x^{4} + 32 x^{2} y^{2} + 16 y^{4} = 144 x^{2} - 144 y^{2}$
9483	Find the Absolute Max and Min over the Interval	f(x)=x^3-12x , (0,4)	$f (x) = x^{3} - 12 x$ , $(0, 4)$
9484	Find the Absolute Max and Min over the Interval	f(x)=x^3-6x^2+5 , [-3,5]	$f (x) = x^{3} - 6 x^{2} + 5$ , $[- 3, 5]$
9485	Find the Absolute Max and Min over the Interval	f(x)=x+16/x , [-7,-1]	$f (x) = x + \frac{16}{x}$ , $[- 7, - 1]$
9486	Find the Absolute Max and Min over the Interval	f(x)=3x^(2/3) , [-27,27]	$f (x) = 3 x^{\frac{2}{3}}$ , $[- 27, 27]$
9487	Find the Absolute Max and Min over the Interval	f(x)=6x+2 , [-1,2]	$f (x) = 6 x + 2$ , $[- 1, 2]$
9488	Find Where dy/dx is Equal to Zero	x^2+y^2+1=0	$x^{2} + y^{2} + 1 = 0$
9489	Find Where dy/dx is Equal to Zero	x^2+y^2=25	$x^{2} + y^{2} = 25$
9490	Evaluate the Derivative at y=3(~(x)~)	y=x , y=3 square root of x	$y = x$ , $y = 3 \sqrt{x}$
9491	Find Where dy/dx is Equal to Zero	x^6=cot(y)	$x^{6} = \cot (y)$
9492	Find Where dy/dx is Equal to Zero	x^2+xy=10	$x^{2} + x y = 10$
9493	Evaluate the Function	f(x)=( natural log of x)^5 at x=8	$\sin (x) + 2 \cos (2 y) = 1$
9494	Find Where dy/dx is Equal to Zero	7x^2+6xy+9y^2=0	$7 x^{2} + 6 x y + 9 y^{2} = 0$
9495	Find Where dy/dx is Equal to Zero	y=x+sin(xy)	$y = x + \sin (x y)$
9496	Determine if Odd, Even, or Neither	f(x)=2x^2-7	$f (x) = 2 x^{2} - 7$
9497	Graph	(-x^2-4x-7)/(x+3)	$\frac{- x^{2} - 4 x - 7}{x + 3}$
9498	Find the Horizontal Tangent Line	y=1/(x^2)	$y = \frac{1}{x^{2}}$
9499	Solve over the Interval	sin(theta)=1/3 , 0=theta=pi/2	$\sin (θ) = \frac{1}{3}$ , $0 = θ = \frac{π}{2}$
9500	Find the Horizontal Tangent Line	y=x^3-14x^2+9x	$y = x^{3} - 14 x^{2} + 9 x$