Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43501	Divide	54/3	$\frac{54}{3}$
43502	Multiply	49*3	$49 \cdot 3$
43503	Find the Second Derivative	y=9sec(x)	$y = 9 \sec (x)$
43504	Find the Second Derivative	y=sec(x)csc(x)	$y = \sec (x) \csc (x)$
43505	Find the Second Derivative	y=4csc(x)	$y = 4 \csc (x)$
43506	Find the Second Derivative	y=3csc(x)	$y = 3 \csc (x)$
43507	Find the Second Derivative	y=2sec(x)	$y = 2 \sec (x)$
43508	Factor	6x^2-42x+60	$6 x^{2} - 42 x + 60$
43509	Find the Third Derivative	4xsin(x)	$4 x \sin (x)$
43510	Find the Third Derivative	5xcos(x)	$5 x \cos (x)$
43511	Find the Inverse	g(x)=x/2-5	$g (x) = \frac{x}{2} - 5$
43512	Find the Derivative Using Chain Rule - d/dx	y=sin(x)^6	$y = \sin^{6} (x)$
43513	Find the Inflection Points	x^4-8x^3+16x^2	$x^{4} - 8 x^{3} + 16 x^{2}$
43514	Find the Antiderivative	9/(x^3)	$\frac{9}{x^{3}}$
43515	Find the Antiderivative	1/(e^y)	$\frac{1}{e^{y}}$
43516	Find the Antiderivative	(x- square root of x)/3	$\frac{x - \sqrt{x}}{3}$
43517	Find the Antiderivative	4x^(1/3)	$4 x^{\frac{1}{3}}$
43518	Find the Antiderivative	2/(1+x^2)	$\frac{2}{1 + x^{2}}$
43519	Find the Antiderivative	10e^(-x/2)	$10 e^{- \frac{x}{2}}$
43520	Find the Concavity	x/(x^2-16)	$\frac{x}{x^{2} - 16}$
43521	Evaluate the Summation	sum from x=1 to 3 of 4x	$\sum_{x = 1}^{3} 4 x$
43522	Evaluate the Summation	sum from k=0 to 2 of 2k+2	$\sum_{k = 0}^{2} 2 k + 2$
43523	Evaluate the Summation	sum from x=1 to 2 of 6x	$\sum_{x = 1}^{2} 6 x$
43524	Find the Domain	natural log of x^2-8x	$\ln (x^{2} - 8 x)$
43525	Find the Concavity	f(x)=x/(9x^2-16)	$f (x) = \frac{x}{9 x^{2} - 16}$
43526	Find the Concavity	f(x)=x^3-4x-2	$f (x) = x^{3} - 4 x - 2$
43527	Multiply	60*60	$60 \cdot 60$
43528	Multiply	-x*x	$- x \cdot x$
43529	Divide	56/7	$\frac{56}{7}$
43530	Divide	7÷2	$7 \div 2$
43531	Divide	27/2	$\frac{27}{2}$
43532	Divide	75/5	$\frac{75}{5}$
43533	Find the Second Derivative	4e^(-x^4)	$4 e^{- x^{4}}$
43534	Find the Second Derivative	-4x^2e^x+5xe^x-10e^x	$- 4 x^{2} e^{x} + 5 x e^{x} - 10 e^{x}$
43535	Find the Second Derivative	3xcos(x)	$3 x \cos (x)$
43536	Factor	6x^2-6x-120	$6 x^{2} - 6 x - 120$
43537	Factor	6x^2+78x+252	$6 x^{2} + 78 x + 252$
43538	Find the Second Derivative	y=7csc(x)	$y = 7 \csc (x)$
43539	Find the Fourth Derivative	y=x(3x+4)^5	$y = x {(3 x + 4)}^{5}$
43540	Find the Third Derivative	y=x(3x+4)^5	$y = x {(3 x + 4)}^{5}$
43541	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/4x^4-1/3x^3-6x^2	$f (x) = \frac{1}{4} x^{4} - \frac{1}{3} x^{3} - 6 x^{2}$
43542	Find the Tangent Line at the Point	y=2e^xcos(x) , (0,2)	$y = 2 e^{x} \cos (x)$ , $(0, 2)$
43543	Find the Local Maxima and Minima	f(x)=4x^3-3x^2-18x+17	$f (x) = 4 x^{3} - 3 x^{2} - 18 x + 17$
43544	Find the Inflection Points	x^3+3x+1	$x^{3} + 3 x + 1$
43545	Find the Inflection Points	9x^4-54x^2	$9 x^{4} - 54 x^{2}$
43546	Find the Inflection Points	-x^7+7x^6	$- x^{7} + 7 x^{6}$
43547	Find the Second Derivative	f(t) = square root of 6t+8	$f (t) = \sqrt{6 t + 8}$
43548	Find the Antiderivative	1+3 square root of x	$1 + 3 \sqrt{x}$
43549	Find the Antiderivative	sin(theta)^2	$\sin^{2} (θ)$
43550	Find the Antiderivative	1/2e^(2x)	$\frac{1}{2} e^{2 x}$
43551	Evaluate the Summation	sum from n=1 to 32 of 4n+1	$\sum_{n = 1}^{32} 4 n + 1$
43552	Evaluate the Summation	sum from y=1 to 2 of 1-y	$\sum_{y = 1}^{2} 1 - y$
43553	Evaluate the Summation	sum from n=1 to 6 of 4(-5)^(n-1)	$\sum_{n = 1}^{6} 4 {(- 5)}^{n - 1}$
43554	Find the Concavity	(2x)/(x^2-9)	$\frac{2 x}{x^{2} - 9}$
43555	Find the Domain	x/(1- natural log of x-4)	$\frac{x}{1 - \ln (x - 4)}$
43556	Find the Domain	natural log of x^2-14x	$\ln (x^{2} - 14 x)$
43557	Find the Critical Points	(e^(2x))/(x-3)	$\frac{e^{2 x}}{x - 3}$
43558	Find the Critical Points	x^4-4x^3+8	$x^{4} - 4 x^{3} + 8$
43559	Find the Critical Points	x^3-3x^2-72x	$x^{3} - 3 x^{2} - 72 x$
43560	Find the Asymptotes	f(x)=4/(x+5)	$f (x) = \frac{4}{x + 5}$
43561	Identify the Polar Equation	r=2sin(theta)	$r = 2 \sin (θ)$
43562	Divide	64/2	$\frac{64}{2}$
43563	Divide	56/2	$\frac{56}{2}$
43564	Divide	3.5/2	$\frac{3.5}{2}$
43565	Divide	64/16	$\frac{64}{16}$
43566	Multiply	5*3	$5 \cdot 3$
43567	Find the Maximum/Minimum Value	f(x)=x^2-8x+19	$f (x) = x^{2} - 8 x + 19$
43568	Find the Second Derivative	( natural log of x)/(2x)	$\frac{\ln (x)}{2 x}$
43569	Find the Fourth Derivative	6 cube root of x^2-20 fifth root of x^4+7/( seventh root of x^5)+4/( sixth root of x)	$6 \sqrt[3]{x^{2}} - 20 \sqrt[5]{x^{4}} + \frac{7}{\sqrt[7]{x^{5}}} + \frac{4}{\sqrt[6]{x}}$
43570	Find the Third Derivative	7x cube root of x	$7 x \sqrt[3]{x}$
43571	Find the Third Derivative	x^2sin(x)	$x^{2} \sin (x)$
43572	Find the Second Derivative	8tan(x)	$8 \tan (x)$
43573	Find Where Increasing/Decreasing Using Derivatives	y=5+6x-8x^3	$y = 5 + 6 x - 8 x^{3}$
43574	Find the Area Between the Curves	y=12-x^2 , y=x^2-6	$y = 12 - x^{2}$ , $y = x^{2} - 6$
43575	Find the Area Between the Curves	y^2=2x , x=2y	$y^{2} = 2 x$ , $x = 2 y$
43576	Find the Linearization at a=4	f(x) = square root of x , a=4	$f (x) = \sqrt{x}$ , $a = 4$
43577	Find the Second Derivative	y=8csc(x)	$y = 8 \csc (x)$
43578	Find the Second Derivative	y=5tan(x)	$y = 5 \tan (x)$
43579	Find the Second Derivative	y=8tan(x)	$y = 8 \tan (x)$
43580	Find the Second Derivative	y = natural log of sec(6x)+tan(6x)	$y = \ln (\sec (6 x) + \tan (6 x))$
43581	Find the Third Derivative	y=8csc(x)	$y = 8 \csc (x)$
43582	Factor	x^3-x+1	$x^{3} - x + 1$
43583	Find the Inflection Points	f(x)=2sin(x)^3+3sin(x)+1	$f (x) = 2 \sin^{3} (x) + 3 \sin (x) + 1$
43584	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^2(6+x)^2	$f (x) = 4 x^{2} {(6 + x)}^{2}$
43585	Find Where Increasing/Decreasing Using Derivatives	f(x)=(4x)/(x^2+64)	$f (x) = \frac{4 x}{x^{2} + 64}$
43586	Find Where Increasing/Decreasing Using Derivatives	3x+3cos(x)	$3 x + 3 \cos (x)$
43587	Find Where Increasing/Decreasing Using Derivatives	(9x^2+4)/(9x^2-4)	$\frac{9 x^{2} + 4}{9 x^{2} - 4}$
43588	Find the Derivative Using Chain Rule - d/dx	y=tan(3x^2)	$y = \tan (3 x^{2})$
43589	Find the Local Maxima and Minima	(x^2+6)(36-x^2)	$(x^{2} + 6) (36 - x^{2})$
43590	Convert to a Decimal	9/6	$\frac{9}{6}$
43591	Find the Tangent Line at the Point	y=5e^xcos(x) , (0,5)	$y = 5 e^{x} \cos (x)$ , $(0, 5)$
43592	Find the Inflection Points	3x(x-2)^3	$3 x {(x - 2)}^{3}$
43593	Find the Inflection Points	(2x)/(x^2-9)	$\frac{2 x}{x^{2} - 9}$
43594	Rationalize the Denominator	y/( square root of 6+ square root of y)	$\frac{y}{\sqrt{6} + \sqrt{y}}$
43595	Find the Antiderivative	-1/2cos(2x)	$- \frac{1}{2} \cos (2 x)$
43596	Find the Antiderivative	sin(x/2)	$\sin (\frac{x}{2})$
43597	Find the Antiderivative	cos(2theta)	$\cos (2 θ)$
43598	Find the Fourth Derivative	f(x)=6 cube root of x^2-20 fifth root of x^4+7/( seventh root of x^5)+4/( sixth root of x)	$f (x) = 6 \sqrt[3]{x^{2}} - 20 \sqrt[5]{x^{4}} + \frac{7}{\sqrt[7]{x^{5}}} + \frac{4}{\sqrt[6]{x}}$
43599	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of x^4e^(-x^3)	$lim_{x \to \infty} x^{4} e^{- x^{3}}$
43600	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (5x^2-8)/(7x-4x^2)	$lim_{x \to \infty} \frac{5 x^{2} - 8}{7 x - 4 x^{2}}$