Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4901	Find the Critical Points	(x+1)^2(2x-x^2)	${(x + 1)}^{2} (2 x - x^{2})$
4902	Find the Critical Points	f(x)=-x^2+8x-3	$f (x) = - x^{2} + 8 x - 3$
4903	Find the Critical Points	f(x)=x^3-3x+1	$f (x) = x^{3} - 3 x + 1$
4904	Find the Critical Points	f(x)=x^3-3x^2+1	$f (x) = x^{3} - 3 x^{2} + 1$
4905	Find the Critical Points	2-15x+9x^2-x^3	$2 - 15 x + 9 x^{2} - x^{3}$
4906	Find the Critical Points	xe^(-2x)	$x e^{- 2 x}$
4907	Find the Critical Points	x^3-3x+1	$x^{3} - 3 x + 1$
4908	Find the Critical Points	x^3-27x	$x^{3} - 27 x$
4909	Find the Critical Points	x^3+3x^2-144x	$x^{3} + 3 x^{2} - 144 x$
4910	Find the Critical Points	1/x	$\frac{1}{x}$
4911	Evaluate	arcsin(sin((5pi)/4))	$\arcsin (\sin (\frac{5 π}{4}))$
4912	Evaluate	arcsin(2)	$\arcsin (2)$
4913	Evaluate	cot((5pi)/4)	$\cot (\frac{5 π}{4})$
4914	Evaluate	-cot(pi/2)	$- \cot (\frac{π}{2})$
4915	Evaluate	cos(6pi)	$\cos (6 π)$
4916	Evaluate	cos(100)	$\cos (100)$
4917	Evaluate	sin(8pi)	$\sin (8 π)$
4918	Evaluate	sec(h(0))	$sech (0)$
4919	Evaluate	csc((7pi)/4)	$\csc (\frac{7 π}{4})$
4920	Evaluate	tan(2)	$\tan (2)$
4921	Evaluate	tan(-1/4)	$\tan (\frac{- 1}{4})$
4922	Evaluate the Limit	limit as x approaches 0 of sin(x)	$lim_{x \to 0} \sin (x)$
4923	Evaluate	( square root of 2)/4	$\frac{\sqrt{2}}{4}$
4924	Evaluate	square root of 81-(5.625)^2	$\sqrt{81 - {(5.625)}^{2}}$
4925	Evaluate	square root of 9.1	$\sqrt{9.1}$
4926	Evaluate	square root of 36-(3)^2	$\sqrt{36 - {(3)}^{2}}$
4927	Evaluate	square root of 121-8.25^2	$\sqrt{121 - {8.25}^{2}}$
4928	Evaluate the Limit	limit as x approaches 0 of (e^x-1)/x	$lim_{x \to 0} \frac{e^{x} - 1}{x}$
4929	Evaluate the Limit	limit as x approaches 0 of 1/(x square root of 1+x)-1/x	$lim_{x \to 0} \frac{1}{x \sqrt{1 + x}} - \frac{1}{x}$
4930	Convert to Trigonometric Form	47+16i	$47 + 16 i$
4931	Find the Horizontal Tangent Line	x^2+y^2=16x	$x^{2} + y^{2} = 16 x$
4932	Find the Horizontal Tangent Line	e^x	$e^{x}$
4933	Find the Horizontal Tangent Line	x^2+y^2=9	$x^{2} + y^{2} = 9$
4934	Find the Horizontal Tangent Line	x^3+y^3=6xy	$x^{3} + y^{3} = 6 x y$
4935	Find the Horizontal Tangent Line	y^3+xy-y=8x^4	$y^{3} + x y - y = 8 x^{4}$
4936	Find the Horizontal Tangent Line	2(x^2+y^2)^2=25(x^2-y^2)	$2 {(x^{2} + y^{2})}^{2} = 25 (x^{2} - y^{2})$
4937	Find the Horizontal Tangent Line	4x^2+y^2-8x+4y+4=0	$4 x^{2} + y^{2} - 8 x + 4 y + 4 = 0$
4938	Find the Horizontal Tangent Line	f(x)=x^3-4x^2	$f (x) = x^{3} - 4 x^{2}$
4939	Find the Horizontal Tangent Line	y=x square root of x	$y = x \sqrt{x}$
4940	Find the Horizontal Tangent Line	y=x+sin(x)	$y = x + \sin (x)$
4941	Find the Horizontal Tangent Line	y=2x^2+4x-7	$y = 2 x^{2} + 4 x - 7$
4942	Find the Horizontal Tangent Line	y=x^4-3x^2+2	$y = x^{4} - 3 x^{2} + 2$
4943	Find the Horizontal Tangent Line	y=x^2+3x	$y = x^{2} + 3 x$
4944	Find the Horizontal Tangent Line	y=x^3+3x	$y = x^{3} + 3 x$
4945	Find the Horizontal Tangent Line	y = square root of 3x+2cos(x)	$y = \sqrt{3} x + 2 \cos (x)$
4946	Determine if Odd, Even, or Neither	f(x)=4x^2-4x+4	$f (x) = 4 x^{2} - 4 x + 4$
4947	Find the Linearization at a=1	f(x)=x^4+2x^2 , a=1	$f (x) = x^{4} + 2 x^{2}$ , $a = 1$
4948	Find Where dy/dx is Equal to Zero	y^2-3xy+x^2=7	$y^{2} - 3 x y + x^{2} = 7$
4949	Find the Derivative - d/dx	x^(3x)	$x^{3 x}$
4950	Find the Slope	f(7)=-1 , g(3)=4	$f (7) = - 1$ , $g (3) = 4$
4951	Evaluate the Derivative at x=0	y = square root of 5+9x , x=0	$y = \sqrt{5 + 9 x}$ , $x = 0$
4952	Evaluate the Derivative at x=0	y = square root of 6+3x , x=0	$y = \sqrt{6 + 3 x}$ , $x = 0$
4953	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-50x^2	$f (x) = x^{4} - 50 x^{2}$
4954	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-6x^2	$f (x) = x^{4} - 6 x^{2}$
4955	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-32x+4	$f (x) = x^{4} - 32 x + 4$
4956	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-3x^2-12x	$f (x) = 2 x^{3} - 3 x^{2} - 12 x$
4957	Find Where Increasing/Decreasing Using Derivatives	f(x)=-12x^5+135x^4-400x^3	$f (x) = - 12 x^{5} + 135 x^{4} - 400 x^{3}$
4958	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^4-4x^3	$f (x) = 3 x^{4} - 4 x^{3}$
4959	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-1/2x^2	$f (x) = \frac{1}{3} x^{3} - \frac{1}{2} x^{2}$
4960	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
4961	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2)/(x^2-4)	$f (x) = \frac{x^{2}}{x^{2} - 4}$
4962	Find Where Increasing/Decreasing Using Derivatives	f(x)=x/(x^2+9)	$f (x) = \frac{x}{x^{2} + 9}$
4963	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^(1/3)(x-4)	$f (x) = x^{\frac{1}{3}} (x - 4)$
4964	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^2-2x+1	$f (x) = x^{2} - 2 x + 1$
4965	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3+6x^2+9x	$f (x) = x^{3} + 6 x^{2} + 9 x$
4966	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-12x+1	$f (x) = x^{3} - 12 x + 1$
4967	Find the Critical Points	y=4x^3-48x-1	$y = 4 x^{3} - 48 x - 1$
4968	Find the Critical Points	y=4x^3-48x-5	$y = 4 x^{3} - 48 x - 5$
4969	Find the Critical Points	y=4x^3-48x-8	$y = 4 x^{3} - 48 x - 8$
4970	Find the Critical Points	y=2.3+3.4x-1.2x^2	$y = 2.3 + 3.4 x - 1.2 x^{2}$
4971	Find the Critical Points	sin(2x)	$\sin (2 x)$
4972	Find the Critical Points	sin(x)-cos(x)	$\sin (x) - \cos (x)$
4973	Find the Critical Points	y=x^3-2x^2-15x-1	$y = x^{3} - 2 x^{2} - 15 x - 1$
4974	Find the Critical Points	y=x^3-2x^2-4x+1	$y = x^{3} - 2 x^{2} - 4 x + 1$
4975	Find the Critical Points	x-2sin(x)	$x - 2 \sin (x)$
4976	Find the Inflection Points	f(x)=6x^4-36x^2	$f (x) = 6 x^{4} - 36 x^{2}$
4977	Find the Inflection Points	f(x)=3x^3-36x-9	$f (x) = 3 x^{3} - 36 x - 9$
4978	Find the Inflection Points	f(x)=4x^3-x^4	$f (x) = 4 x^{3} - x^{4}$
4979	Find the Inflection Points	f(x)=3x(x-3)^3	$f (x) = 3 x {(x - 3)}^{3}$
4980	Find the Inflection Points	y=-x^4+8x^3-8x+13	$y = - x^{4} + 8 x^{3} - 8 x + 13$
4981	Find the Inflection Points	y=-x^4+4x^3-4x+2	$y = - x^{4} + 4 x^{3} - 4 x + 2$
4982	Find the Inflection Points	y=x^4-8x^3+16x^2	$y = x^{4} - 8 x^{3} + 16 x^{2}$
4983	Find the Inflection Points	y=x^3-8x^2-12x+9	$y = x^{3} - 8 x^{2} - 12 x + 9$
4984	Find the Inflection Points	y=x^3-12x+4	$y = x^{3} - 12 x + 4$
4985	Find the Inflection Points	f(x)=x^4-2x^3	$f (x) = x^{4} - 2 x^{3}$
4986	Find the Inflection Points	f(x)=2x^3+3x^2-12x	$f (x) = 2 x^{3} + 3 x^{2} - 12 x$
4987	Find the Inflection Points	f(x)=2x^3+3x^2-180x	$f (x) = 2 x^{3} + 3 x^{2} - 180 x$
4988	Find the Inflection Points	f(x)=2x^3+3x^2-36x	$f (x) = 2 x^{3} + 3 x^{2} - 36 x$
4989	Find the Inflection Points	f(x)=x^3+27x^2	$f (x) = x^{3} + 27 x^{2}$
4990	Find the Inflection Points	f(x)=x^3+42x^2	$f (x) = x^{3} + 42 x^{2}$
4991	Find the Inflection Points	f(x)=x^3-27x	$f (x) = x^{3} - 27 x$
4992	Find the Inflection Points	f(x)=x^4-2x^2	$f (x) = x^{4} - 2 x^{2}$
4993	Find dy/dx	y=x^6e^x	$y = x^{6} e^{x}$
4994	Find the Inflection Points	(e^x)/(8+e^x)	$\frac{e^{x}}{8 + e^{x}}$
4995	Find Where Increasing/Decreasing Using Derivatives	g(x)=x^2-2x-80	$g (x) = x^{2} - 2 x - 80$
4996	Find the Inflection Points	f(x)=(x^2)/(x^2+4)	$f (x) = \frac{x^{2}}{x^{2} + 4}$
4997	Find the Concavity	y=-x^4+4x^3-4x+2	$y = - x^{4} + 4 x^{3} - 4 x + 2$
4998	Find the Concavity	f(x)=2x^3+3x^2-336x	$f (x) = 2 x^{3} + 3 x^{2} - 336 x$
4999	Find the Concavity	f(x)=2x^4-12x^2	$f (x) = 2 x^{4} - 12 x^{2}$
5000	Find the Concavity	f(x)=3x(x-2)^3	$f (x) = 3 x {(x - 2)}^{3}$