Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4801	Find the Derivative - d/d@VAR	f(x)=x^(1/4)	$f (x) = x^{\frac{1}{4}}$
4802	Evaluate the Limit	limit as x approaches 0 of (sin(x))/x	$lim_{x \to 0} \frac{(\sin (x))}{x}$
4803	Evaluate the Limit	limit as x approaches 3 of (2x^2-x-15)/(4x-12)	$lim_{x \to 3} \frac{2 x^{2} - x - 15}{4 x - 12}$
4804	Evaluate the Limit	limit as x approaches infinity of square root of x^2+1	$lim_{x \to \infty} \sqrt{x^{2} + 1}$
4805	Evaluate the Limit	limit as x approaches 3 of 2x+\|x-3\|	$lim_{x \to 3} 2 x + \| x - 3 \|$
4806	Evaluate the Limit	limit as X approaches -2 of (X^3+8)/(X^2+5X+6)	$lim_{X \to - 2} \frac{X^{3} + 8}{X^{2} + 5 X + 6}$
4807	Evaluate the Limit	limit as x approaches infinity of (5x-3)/(2x^2+2x+4)	$lim_{x \to \infty} \frac{5 x - 3}{2 x^{2} + 2 x + 4}$
4808	Evaluate the Limit	limit as x approaches 7 of (x-7)/(x^2-6x-7)	$lim_{x \to 7} \frac{x - 7}{x^{2} - 6 x - 7}$
4809	Evaluate the Limit	limit as x approaches 0 of natural log of x	$lim_{x \to 0} \ln (x)$
4810	Evaluate the Limit	limit as x approaches 8 of square root of 36x^2+x-6x	$lim_{x \to 8} \sqrt{36 x^{2} + x} - 6 x$
4811	Evaluate the Limit	limit as x approaches 8 of e^(-8x)cos(x)	$lim_{x \to 8} e^{- 8 x} \cos (x)$
4812	Evaluate the Limit	limit as x approaches -2 of (1/2+1/x)/(2+x)	$lim_{x \to - 2} \frac{\frac{1}{2} + \frac{1}{x}}{2 + x}$
4813	Evaluate the Limit	limit as x approaches 5 of cos((pix)/6)	$lim_{x \to 5} \cos (\frac{π x}{6})$
4814	Evaluate the Limit	limit as x approaches 5 of g(x)	$lim_{x \to 5} g (x)$
4815	Evaluate the Limit	limit as x approaches -1 of (x^2-8x)/(x^2-7x-8)	$lim_{x \to - 1} \frac{x^{2} - 8 x}{x^{2} - 7 x - 8}$
4816	Evaluate the Limit	limit as x approaches 16 of (4- square root of x)/(x-16)	$lim_{x \to 16} \frac{4 - \sqrt{x}}{x - 16}$
4817	Evaluate the Limit	limit as x approaches infinity of ( square root of x+x^2)/(4x-x^2)	$lim_{x \to \infty} \frac{\sqrt{x} + x^{2}}{4 x - x^{2}}$
4818	Evaluate the Limit	limit as x approaches 6 of (5x^2-29x-6)/(x^2+19x-150)	$lim_{x \to 6} \frac{5 x^{2} - 29 x - 6}{x^{2} + 19 x - 150}$
4819	Evaluate the Limit	limit as x approaches 0 of (sin(4x)^2)/(3x)	$lim_{x \to 0} \frac{\sin^{2} (4 x)}{3 x}$
4820	Evaluate the Limit	limit as x approaches 5 of 2/(x-5)	$lim_{x \to 5} \frac{2}{x - 5}$
4821	Evaluate the Limit	limit as x approaches 0 of (5x^3+8x^2)/(3x^4-16x^2)	$lim_{x \to 0} \frac{5 x^{3} + 8 x^{2}}{3 x^{4} - 16 x^{2}}$
4822	Evaluate the Limit	limit as x approaches 8 of (x^2-3x-40)/(x-8)	$lim_{x \to 8} \frac{x^{2} - 3 x - 40}{x - 8}$
4823	Evaluate the Limit	limit as x approaches e of natural log of x^3	$lim_{x \to e} \ln (x^{3})$
4824	Evaluate the Limit	limit as x approaches 8 of 8cos(x)	$lim_{x \to 8} 8 \cos (x)$
4825	Evaluate the Limit	limit as x approaches 0 of (x^3+12x^2-5x)/(5x)	$lim_{x \to 0} \frac{x^{3} + 12 x^{2} - 5 x}{5 x}$
4826	Evaluate the Limit	limit as x approaches 8 of xtan(1/x)	$lim_{x \to 8} x \tan (\frac{1}{x})$
4827	Evaluate the Limit	limit as x approaches 9 of (40+ square root of x)/( square root of 40+x)	$lim_{x \to 9} \frac{40 + \sqrt{x}}{\sqrt{40 + x}}$
4828	Evaluate the Limit	limit as x approaches 8 of ( square root of 9x^2+x)-3x	$lim_{x \to 8} (\sqrt{9 x^{2} + x}) - 3 x$
4829	Evaluate the Limit	limit as t approaches 0 of (t(1-cos(t)))/(t-sin(t))	$lim_{t \to 0} \frac{t (1 - \cos (t))}{t - \sin (t)}$
4830	Find dy/dx	6(x^2+y^2)^2=169(x^2-y^2)	$6 {(x^{2} + y^{2})}^{2} = 169 (x^{2} - y^{2})$
4831	Find dy/dx	3x^2-2y^2=5	$3 x^{2} - 2 y^{2} = 5$
4832	Find the Derivative - d/dx	y = square root of 5x+ square root of 5x+ square root of 5x	$y = \sqrt{5 x + \sqrt{5 x + \sqrt{5 x}}}$
4833	Evaluate the Limit	( limit as x approaches 0 of sec(x)-1)/x	$\frac{lim_{x \to 0} \sec (x) - 1}{x}$
4834	Evaluate the Limit	( limit as x approaches 0 of sin(4x))/(sin(6x))	$\frac{lim_{x \to 0} \sin (4 x)}{\sin (6 x)}$
4835	Evaluate the Limit	( limit as x approaches 0 of tan(3x)^2)/(2x)	$\frac{lim_{x \to 0} \tan^{2} (3 x)}{2 x}$
4836	Evaluate the Limit	limit as x approaches -6 of (6-\|x\|)/(6+x)	$lim_{x \to - 6} \frac{6 - \| x \|}{6 + x}$
4837	Evaluate the Limit	limit as x approaches 8 of (x-8)/(x^2-7x-8)	$lim_{x \to 8} \frac{x - 8}{x^{2} - 7 x - 8}$
4838	Evaluate the Derivative at @POINT	square root of x , (1,1)	$\sqrt{x}$ , $(1, 1)$
4839	Evaluate the Integral	integral of e^(2x)cos(3x) with respect to x	$\int e^{2 x} \cos (3 x) d x$
4840	Find the Derivative - d/dx	-x/(4y)	$- \frac{x}{4 y}$
4841	Find the Derivative - d/d@VAR	h(x)=4/x-2/(x^3)+1/(x^4)	$h (x) = \frac{4}{x} - \frac{2}{x^{3}} + \frac{1}{x^{4}}$
4842	Evaluate the Limit	limit as x approaches 5 of -2/2*(12x-8)	$lim_{x \to 5} - \frac{2}{2} \cdot (12 x - 8)$
4843	Determine if Continuous	f(x)=( square root of x-2)/(x^2-9)	$f (x) = \frac{\sqrt{x - 2}}{x^{2} - 9}$
4844	Determine if Continuous	f(x)=(x^2-4)/(x+2)	$f (x) = \frac{x^{2} - 4}{x + 2}$
4845	Graph	y=x-x^3	$y = x - x^{3}$
4846	Graph	y=4x^2+5x	$y = 4 x^{2} + 5 x$
4847	Evaluate the Limit	limit as x approaches 0 of ( square root of 1+x- square root of 1-x)/x	$lim_{x \to 0} \frac{\sqrt{1 + x} - \sqrt{1 - x}}{x}$
4848	Graph	y=6/(x^2)	$y = \frac{6}{x^{2}}$
4849	Graph	y = square root of 7-x	$y = \sqrt{7 - x}$
4850	Graph	y=16-x^2	$y = 16 - x^{2}$
4851	Graph	y=16x-3x^2	$y = 16 x - 3 x^{2}$
4852	Graph	y=12x-6x^2	$y = 12 x - 6 x^{2}$
4853	Graph	y=2 square root of x-x	$y = 2 \sqrt{x} - x$
4854	Graph	x = square root of y	$x = \sqrt{y}$
4855	Find the Derivative - d/dx	y=10 square root of x	$y = 10 \sqrt{x}$
4856	Graph	f(x)=x^4-4x^3+10	$f (x) = x^{4} - 4 x^{3} + 10$
4857	Graph	f(x)=x^3-3x	$f (x) = x^{3} - 3 x$
4858	Graph	f(x)=\|2x+4\|	$f (x) = \| 2 x + 4 \|$
4859	Graph	f(x)=x(x-9)^2	$f (x) = x {(x - 9)}^{2}$
4860	Graph	f(x)=cos(x)-sin(x)	$f (x) = \cos (x) - \sin (x)$
4861	Graph	f(x)=3x^4+4x^3	$f (x) = 3 x^{4} + 4 x^{3}$
4862	Graph	f(x)=2-0.4x	$f (x) = 2 - 0.4 x$
4863	Graph	x/(x+1)	$\frac{x}{x + 1}$
4864	Find the Tangent Line at x=0	f(x)=4 , x=0	$f (x) = 4$ , $x = 0$
4865	Find Where Undefined/Discontinuous	(x^2-4)/(x-2)	$\frac{x^{2} - 4}{x - 2}$
4866	Evaluate the Derivative at @POINT	y=x^3-2x , (2,4)	$y = x^{3} - 2 x$ , $(2, 4)$
4867	Evaluate the Derivative at @POINT	y=3x^3-2x , (1,1)	$y = 3 x^{3} - 2 x$ , $(1, 1)$
4868	Evaluate	4cos(pi/6)	$4 \cos (\frac{π}{6})$
4869	Evaluate	4sin(pi/6)	$4 \sin (\frac{π}{6})$
4870	Evaluate	70÷66	$70 \div 66$
4871	Evaluate	2(-4)^3+3(-4)^2-72*-4	$2 {(- 4)}^{3} + 3 {(- 4)}^{2} - 72 \cdot - 4$
4872	Evaluate	2sin(pi)	$2 \sin (π)$
4873	Evaluate	312p-12p^252/p	$312 p - 12 p^{2} \frac{52}{p}$
4874	Evaluate	csc(0)^2	$\csc^{2} (0)$
4875	Evaluate	-csc(pi/4)^2	$- \csc^{2} (\frac{π}{4})$
4876	Evaluate	e^2-1	$e^{2} - 1$
4877	Evaluate	e^(ip)+1	$e^{i p} + 1$
4878	Evaluate	sec(pi/2)^2	$\sec^{2} (\frac{π}{2})$
4879	Evaluate	500^2	$500^{2}$
4880	Evaluate	(9.26-8)/(1.1-1)	$\frac{9.26 - 8}{1.1 - 1}$
4881	Find the Critical Points	f(x)=x^3-6x^2+7	$f (x) = x^{3} - 6 x^{2} + 7$
4882	Find the Critical Points	f(x)=x^4-2x^2	$f (x) = x^{4} - 2 x^{2}$
4883	Find the Critical Points	f(x)=x^4-4x^3+9	$f (x) = x^{4} - 4 x^{3} + 9$
4884	Find the Derivative - d/d@VAR	f(x)=1/(x^8)	$f (x) = \frac{1}{x^{8}}$
4885	Find the Critical Points	f(x)=2x^3+x^2+2x	$f (x) = 2 x^{3} + x^{2} + 2 x$
4886	Find the Critical Points	f(x)=14x^4-84x^2	$f (x) = 14 x^{4} - 84 x^{2}$
4887	Find the Critical Points	f(x)=2x^3+9x^2-24x	$f (x) = 2 x^{3} + 9 x^{2} - 24 x$
4888	Find the Critical Points	f(x)=2x^3-3x^2-36x+5	$f (x) = 2 x^{3} - 3 x^{2} - 36 x + 5$
4889	Find the Critical Points	f(x)=2x^3-6x	$f (x) = 2 x^{3} - 6 x$
4890	Find the Critical Points	f(x)=2x^3-9x^2+12x	$f (x) = 2 x^{3} - 9 x^{2} + 12 x$
4891	Find the Critical Points	f(x)=3x^5-10x^3+15x	$f (x) = 3 x^{5} - 10 x^{3} + 15 x$
4892	Find the Critical Points	f(x)=3x(16-x)^3	$f (x) = 3 x {(16 - x)}^{3}$
4893	Find the Critical Points	f(x)=3x-x^3	$f (x) = 3 x - x^{3}$
4894	Find the Critical Points	f(x)=4+1/3x-1/2x^2	$f (x) = 4 + \frac{1}{3} x - \frac{1}{2} x^{2}$
4895	Find the Critical Points	f(x)=3x^4-4x^3-12x^2+24	$f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 24$
4896	Find the Critical Points	f(x)=3x^4+16x^3+24x^2+32	$f (x) = 3 x^{4} + 16 x^{3} + 24 x^{2} + 32$
4897	Find the Critical Points	f(x)=1/(x^2+1)	$f (x) = \frac{1}{x^{2} + 1}$
4898	Find the Critical Points	f(x)=(x^2)/(x-6)	$f (x) = \frac{x^{2}}{x - 6}$
4899	Find the Critical Points	f(x)=x/(x^2+64)	$f (x) = \frac{x}{x^{2} + 64}$
4900	Find the Critical Points	f(x)=x/(x^2+1)	$f (x) = \frac{x}{x^{2} + 1}$