Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43801	Find the Second Derivative	y=sin(x)cos(x)	$y = \sin (x) \cos (x)$
43802	Find the Second Derivative	y=11xcos(x)	$y = 11 x \cos (x)$
43803	Find the Second Derivative	y=4sec(x)	$y = 4 \sec (x)$
43804	Find the Second Derivative	-x^2+2xy=4	$- x^{2} + 2 x y = 4$
43805	Find the Degree	sin(theta)=1/2	$\sin (θ) = \frac{1}{2}$
43806	Find the Second Derivative	7x^2+y^2=4	$7 x^{2} + y^{2} = 4$
43807	Find Where Increasing/Decreasing Using Derivatives	f(x)=(5x)/(x^2+1)	$f (x) = \frac{5 x}{x^{2} + 1}$
43808	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/4x^4-1/3x^3-3x^2	$f (x) = \frac{1}{4} x^{4} - \frac{1}{3} x^{3} - 3 x^{2}$
43809	Find Where Increasing/Decreasing Using Derivatives	f(x)=(6x)/(x^2+100)	$f (x) = \frac{6 x}{x^{2} + 100}$
43810	Divide	180/3	$\frac{180}{3}$
43811	Divide	((2pi)/3)÷4	$\frac{2 π}{3} \div 4$
43812	Divide	162/2	$\frac{162}{2}$
43813	Divide	15÷2	$15 \div 2$
43814	Evaluate the Summation	sum from n=1 to 3 of n-1	$\sum_{n = 1}^{3} n - 1$
43815	Evaluate the Summation	sum from i=0 to 9 of 9(-3/4)^i	$\sum_{i = 0}^{9} 9 {(- \frac{3}{4})}^{i}$
43816	Convert to a Decimal	1/infinity	$\frac{1}{\infty}$
43817	Convert to a Decimal	5/13	$\frac{5}{13}$
43818	Find the Inflection Points	f(x)=x square root of x+24	$f (x) = x \sqrt{x + 24}$
43819	Find the Tangent Line at the Point	y=8xe^x , (0,0)	$y = 8 x e^{x}$ , $(0, 0)$
43820	Find the Tangent Line at the Point	(y-3)^2=4(x-5) , (6,1)	${(y - 3)}^{2} = 4 (x - 5)$ , $(6, 1)$
43821	Find the Tangent Line at the Point	y=7x^2-x^3 , (1,6)	$y = 7 x^{2} - x^{3}$ , $(1, 6)$
43822	Find dy/dx at (2,-6)	y^2-x^3=28 ; (2,-6)	$y^{2} - x^{3} = 28$ ; $(2, - 6)$
43823	Find the Area Between the Curves	y=81-x^4	$y = 81 - x^{4}$
43824	Find the Second Derivative	f(x)=x^2e^(12x)	$f (x) = x^{2} e^{12 x}$
43825	Find the Second Derivative	f(x)=sin(4x^2)	$f (x) = \sin (4 x^{2})$
43826	Find the Second Derivative	f(x)=4x-5x^(9/10)	$f (x) = 4 x - 5 x^{\frac{9}{10}}$
43827	Find the Second Derivative	f(x)=6x^3+7x^2+8x	$f (x) = 6 x^{3} + 7 x^{2} + 8 x$
43828	Find the Second Derivative	f(t) = square root of 6t+3	$f (t) = \sqrt{6 t + 3}$
43829	Find the Tangent at a Given Point Using the Limit Definition	y=x+x(x-2) , (2,7)	$y = x + x (x - 2)$ , $(2, 7)$
43830	Find the Derivative Using Chain Rule - d/dx	(7x-4)^7	${(7 x - 4)}^{7}$
43831	Find Where Increasing/Decreasing Using Derivatives	x^6-3x^5	$x^{6} - 3 x^{5}$
43832	Find the Derivative Using Chain Rule - d/d@VAR	f(theta)=cos(theta^2)	$f (θ) = \cos (θ^{2})$
43833	Find Where Increasing/Decreasing Using Derivatives	4x^4-24x^2	$4 x^{4} - 24 x^{2}$
43834	Find Where Increasing/Decreasing Using Derivatives	(25x^2+16)/(25x^2-16)	$\frac{25 x^{2} + 16}{25 x^{2} - 16}$
43835	Find the Derivative Using Chain Rule - d/dy	tan(x/y)	$\tan (\frac{x}{y})$
43836	Find the Local Maxima and Minima	x^3-20x^2+100x	$x^{3} - 20 x^{2} + 100 x$
43837	Find the Local Maxima and Minima	8x^4-48x^2	$8 x^{4} - 48 x^{2}$
43838	Find the Antiderivative	3sec(x)^2+2	$3 \sec^{2} (x) + 2$
43839	Find the Antiderivative	sin(x)-cos(x)	$\sin (x) - \cos (x)$
43840	Find the Antiderivative	cos(x/2)	$\cos (\frac{x}{2})$
43841	Find the Antiderivative	natural log of x^2-3x+3	$\ln (x^{2} - 3 x + 3)$
43842	Find the Antiderivative	e^(sin(x))cos(x)	$e^{\sin (x)} \cos (x)$
43843	Find the Antiderivative	pix	$π x$
43844	Find the Antiderivative	4x^3-2 square root of x+8x+10	$4 x^{3} - 2 \sqrt{x} + 8 x + 10$
43845	Find the Antiderivative	1/(sec(x))	$\frac{1}{\sec (x)}$
43846	Find the Antiderivative	square root of x^3+6	$\sqrt{x^{3} + 6}$
43847	Find the Antiderivative	(x+2)	$(x + 2)$
43848	Find the Antiderivative	1/(y+5)	$\frac{1}{y + 5}$
43849	Find the Asymptotes	6/(x-7)	$\frac{6}{x - 7}$
43850	Find the Asymptotes	(3x^3-x^2-12x+4)/(x^2+3x+2)	$\frac{3 x^{3} - x^{2} - 12 x + 4}{x^{2} + 3 x + 2}$
43851	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( natural log of 3x)/(e^(7x))	$lim_{x \to \infty} \frac{\ln (3 x)}{e^{7 x}}$
43852	Find Where Increasing/Decreasing	f(x)=4cos(x)^2	$f (x) = 4 \cos^{2} (x)$
43853	Find the Derivative Using Quotient Rule - d/dy	-(2x)/(3y)	$- \frac{2 x}{3 y}$
43854	Find the Derivative Using Quotient Rule - d/dx	-(2x)/(3y)	$- \frac{2 x}{3 y}$
43855	Find the Second Derivative	7cot(x)	$7 \cot (x)$
43856	Find the Second Derivative	6xcos(x^2)	$6 x \cos (x^{2})$
43857	Find the Second Derivative	e^(7x)sin(x)	$e^{7 x} \sin (x)$
43858	Find the Second Derivative	4x-5x^(9/10)	$4 x - 5 x^{\frac{9}{10}}$
43859	Find the Third Derivative	7cot(x)	$7 \cot (x)$
43860	Find the Second Derivative	4 natural log of x	$4 \ln (x)$
43861	Find the Second Derivative	14xcos(x)	$14 x \cos (x)$
43862	Find the Second Derivative	[2sin(-4x-3)]	$[2 \sin (- 4 x - 3)]$
43863	Find the Critical Points	f(x)=3x^4-20x^3+24x^2	$f (x) = 3 x^{4} - 20 x^{3} + 24 x^{2}$
43864	Find the Critical Points	f(x)=cos(x)+2x	$f (x) = \cos (x) + 2 x$
43865	Write in y=mx+b Form	y-6=1/12(x-36)	$y - 6 = \frac{1}{12} (x - 36)$
43866	Write in y=mx+b Form	y-7=1/14(x-49)	$y - 7 = \frac{1}{14} (x - 49)$
43867	Find Where Undefined/Discontinuous	f(x)=6/(x^2-2x-8)	$f (x) = \frac{6}{x^{2} - 2 x - 8}$
43868	Find the Domain	f(x)=x/(1- natural log of x-7)	$f (x) = \frac{x}{1 - \ln (x - 7)}$
43869	Find the Concavity	x^2-x- natural log of x	$x^{2} - x - \ln (x)$
43870	Find the 5th Term	5 , 10 , 20	$5$ , $10$ , $20$
43871	Find the Derivative of the Integral	y=sec(theta)(theta-tan(theta))	$y = \sec (θ) (θ - \tan (θ))$
43872	Write as a Single Logarithm	13 natural log of x-12 natural log of x^2+16	$13 \ln (x) - 12 \ln (x^{2} + 16)$
43873	Find the Absolute Max and Min over the Interval	f(x)=x^3-27x , [0,6]	$f (x) = x^{3} - 27 x$ , $[0, 6]$
43874	Evaluate Using the Squeeze Theorem	limit as x approaches infinity of (sin(x))/x	$lim_{x \to \infty} \frac{\sin (x)}{x}$
43875	Multiply	50*50	$50 \cdot 50$
43876	Multiply	28*3	$28 \cdot 3$
43877	Multiply	64*5	$64 \cdot 5$
43878	Find the Critical Points	1+2cos(x)	$1 + 2 \cos (x)$
43879	Find the Critical Points	x^5-5x^3	$x^{5} - 5 x^{3}$
43880	Find the Asymptotes	f(x)=(x^2+36)/(x^2-36)	$f (x) = \frac{x^{2} + 36}{x^{2} - 36}$
43881	Find the Asymptotes	f(x)=(6x)/(x^2-5x)	$f (x) = \frac{6 x}{x^{2} - 5 x}$
43882	Find the Asymptotes	f(x)=(x^2-2x-8)/(x^2-6x+8)	$f (x) = \frac{x^{2} - 2 x - 8}{x^{2} - 6 x + 8}$
43883	Find the Inverse	(x+4)/(3x-2)	$\frac{x + 4}{3 x - 2}$
43884	Find the Second Derivative	w=3z^2e^z	$w = 3 z^{2} e^{z}$
43885	Find the Second Derivative	-3x^2+xy=11	$- 3 x^{2} + x y = 11$
43886	Find the Second Derivative	y=(5x^3)/3-7x	$y = \frac{5 x^{3}}{3} - 7 x$
43887	Find the Second Derivative	y=5cot(x)	$y = 5 \cot (x)$
43888	Find the Second Derivative	y=5csc(x)sec(x)	$y = 5 \csc (x) \sec (x)$
43889	Find the Second Derivative	y=6xcos(x)	$y = 6 x \cos (x)$
43890	Find the Second Derivative	y=7xsin(x^2)	$y = 7 x \sin (x^{2})$
43891	Find the Second Derivative	y=cos(sin(3theta))	$y = \cos (\sin (3 θ))$
43892	Find the Second Derivative	y=3cot(x)	$y = 3 \cot (x)$
43893	Find the Second Derivative	y=10xcos(x)	$y = 10 x \cos (x)$
43894	Find the Second Derivative	y=8cot(x)	$y = 8 \cot (x)$
43895	Find the Second Derivative	y = square root of 9x+9	$y = \sqrt{9 x + 9}$
43896	Find the Third Derivative	y=(x^3-2x)^2	$y = {(x^{3} - 2 x)}^{2}$
43897	Find the Third Derivative	x^2+2y^2=1	$x^{2} + 2 y^{2} = 1$
43898	Find the Third Derivative	y=4xsin(x)	$y = 4 x \sin (x)$
43899	Find the Second Derivative	y=(x^3-2x)^2	$y = {(x^{3} - 2 x)}^{2}$
43900	Find the Second Derivative	y=6cot(x)	$y = 6 \cot (x)$