Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
65801	Find the Derivative - d/dt	4te^(-t)	$4 t e^{- t}$
65802	Find the Derivative - d/dt	4sin(5t)	$4 \sin (5 t)$
65803	Find the Derivative - d/dt	3te^(2t)	$3 t e^{2 t}$
65804	Find the Derivative - d/dt	5t^2+5t	$5 t^{2} + 5 t$
65805	Find the Derivative - d/dt	5 natural log of t	$5 \ln (t)$
65806	Find the Derivative - d/dt	5sin(2t)	$5 \sin (2 t)$
65807	Find the Derivative - d/dt	5t^2	$5 t^{2}$
65808	Find the Derivative - d/dt	240t-16t^2	$240 t - 16 t^{2}$
65809	Find the Derivative - d/dt	3^t	$3^{t}$
65810	Find the Derivative - d/dt	3cos(6t)	$3 \cos (6 t)$
65811	Find the Derivative - d/dt	2t^(3/2)	$2 t^{\frac{3}{2}}$
65812	Find the Derivative - d/dt	2t^3cos(t)	$2 t^{3} \cos (t)$
65813	Find the Derivative - d/dt	2te^t-1/( square root of t)	$2 t e^{t} - \frac{1}{\sqrt{t}}$
65814	Find the Domain	y = square root of 64-x^2	$y = \sqrt{64 - x^{2}}$
65815	Find the Antiderivative	f(x)=x^2-3x+4	$f (x) = x^{2} - 3 x + 4$
65816	Find the Antiderivative	f(x)=x^2-x	$f (x) = x^{2} - x$
65817	Find the Antiderivative	f(x)=2x^2-3x	$f (x) = 2 x^{2} - 3 x$
65818	Find the Derivative Using Quotient Rule - d/dx	(-x^2)/(y^2)	$\frac{- x^{2}}{y^{2}}$
65819	Find the Derivative Using Quotient Rule - d/dx	(2x+1)/(3x-5)	$\frac{2 x + 1}{3 x - 5}$
65820	Find the Derivative Using Quotient Rule - d/dx	((x^2-3x^x+2x-1)dx)/(x^2-6x+4)	$\frac{(x^{2} - 3 x^{x} + 2 x - 1) d x}{x^{2} - 6 x + 4}$
65821	Find the Derivative Using Quotient Rule - d/d@VAR	g(t)=(t^2)/(t-11)	$g (t) = \frac{t^{2}}{t - 11}$
65822	Find Where Increasing/Decreasing	f(x)=-10/(x^2)	$f (x) = \frac{- 10}{x^{2}}$
65823	Find Where Increasing/Decreasing	f(x)=-2/(x^2)	$f (x) = \frac{- 2}{x^{2}}$
65824	Find the Derivative Using Quotient Rule - d/dx	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x^{3} - x^{2} + 2 x - 4}{\sqrt{x^{2}} - 3 x + 2} d x$
65825	Find Where Increasing/Decreasing	f(x)=6x^2-6x+4	$f (x) = 6 x^{2} - 6 x + 4$
65826	Find Where Increasing/Decreasing	f(x)=-6x+4	$f (x) = - 6 x + 4$
65827	Find Where Increasing/Decreasing	f(x)=\|x+1\|	$f (x) = \| x + 1 \|$
65828	Find the Local Maxima and Minima	y=2x^3+3x^2-12x+4	$y = 2 x^{3} + 3 x^{2} - 12 x + 4$
65829	Find the Maximum/Minimum Value	y=0.5cos(3theta)	$y = 0.5 \cos (3 θ)$
65830	Find the Maximum/Minimum Value	y=2x^3+3x^2-12x+8	$y = 2 x^{3} + 3 x^{2} - 12 x + 8$
65831	Find the Maximum/Minimum Value	y=x^2-4	$y = x^{2} - 4$
65832	Find the Local Maxima and Minima	g'(x)=x^2(x-1)(x+3)	$g' (x) = x^{2} (x - 1) (x + 3)$
65833	Find the Local Maxima and Minima	y=x^3-7x^2-24x+1	$y = x^{3} - 7 x^{2} - 24 x + 1$
65834	Find the Local Maxima and Minima	y=x^3-8x^2-12x+2	$y = x^{3} - 8 x^{2} - 12 x + 2$
65835	Find the Local Maxima and Minima	y=x^3-x^2-x-4	$y = x^{3} - x^{2} - x - 4$
65836	Find the Domain	g(x) = square root of 8+9x	$g (x) = \sqrt{8 + 9 x}$
65837	Find the Domain	g(x) = square root of 4+7x	$g (x) = \sqrt{4 + 7 x}$
65838	Find the Domain	g(x) = square root of 4+9x	$g (x) = \sqrt{4 + 9 x}$
65839	Find the Domain	g(x) = square root of 5+4x	$g (x) = \sqrt{5 + 4 x}$
65840	Find the Domain	G(t)=(1-4t)/(3+t)	$G (t) = \frac{1 - 4 t}{3 + t}$
65841	Find the Domain	g(t) = square root of 1-3^t	$g (t) = \sqrt{1 - 3^{t}}$
65842	Find the Domain	f(x) = square root of 2-3x	$f (x) = \sqrt{2 - 3 x}$
65843	Find the Domain	f(x)=(x+4)/(x-4)	$f (x) = \frac{x + 4}{x - 4}$
65844	Find the Domain	f(x)=(2x+1)/(x^2+x-90)	$f (x) = \frac{2 x + 1}{x^{2} + x - 90}$
65845	Find the Domain	f(x)=(3x+3)/(x^2-5x-36)	$f (x) = \frac{3 x + 3}{x^{2} - 5 x - 36}$
65846	Find the Domain	f(x)=( square root of x-1)/((x+2)(x-8))	$f (x) = \frac{\sqrt{x - 1}}{(x + 2) (x - 8)}$
65847	Find the Domain	f(x)=-1/(2(1-x)^(1/2))	$f (x) = - \frac{1}{2 {(1 - x)}^{\frac{1}{2}}}$
65848	Find the Domain	f(x) = natural log of x^2-2x	$f (x) = \ln (x^{2} - 2 x)$
65849	Find the Tangent Line at the Point	y=x^2-x , (-3,12)	$y = x^{2} - x$ , $(- 3, 12)$
65850	Find the Distance Between Two Points	(-3,5) , (3,-2)	$(- 3, 5) (3, - 2)$
65851	Find the Distance Between Two Points	(-8,5) , (-9,1)	$(- 8, 5)$ , $(- 9, 1)$
65852	Determine if Continuous	f(x) = square root of x-7	$f (x) = \sqrt{x - 7}$
65853	Determine if Continuous	f(x)=(x+7)/( square root of x)	$f (x) = \frac{x + 7}{\sqrt{x}}$
65854	Determine if Continuous	f(x)=3/x	$f (x) = \frac{3}{x}$
65855	Determine if Continuous	f(x)=8/x	$f (x) = \frac{8}{x}$
65856	Determine if Continuous	f(x)=x/(x^2+x+3)	$f (x) = \frac{x}{x^{2} + x + 3}$
65857	Find the Critical Points	y=x^3-7x^2-5x+8	$y = x^{3} - 7 x^{2} - 5 x + 8$
65858	Find the Vertex	(x^2)/16+(y^2)/9=1	$\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1$
65859	Find the Critical Points	y=x^2e^(-x)	$y = x^{2} e^{- x}$
65860	Find dy/dx at (-1,8)	y=3x^2-5x ; (-1,8)	$y = 3 x^{2} - 5 x$ ; $(- 1, 8)$
65861	Find the Vertex	y=-2x^2-16x-24	$y = - 2 x^{2} - 16 x - 24$
65862	Evaluate the Summation	sum from n=1 to 7 of n+15	$\sum_{n = 1}^{7} n + 15$
65863	Evaluate the Summation	sum from n=1 to 6 of (2/3)^(n-1)	$\sum_{n = 1}^{6} {(\frac{2}{3})}^{n - 1}$
65864	Evaluate the Summation	sum from n=1 to 8 of (-1)^n	$\sum_{n = 1}^{8} {(- 1)}^{n}$
65865	Evaluate the Summation	sum from n=1 to 7 of 5n	$\sum_{n = 1}^{7} 5 n$
65866	Evaluate the Summation	sum from n=17 to 20 of n-4	$\sum_{n = 17}^{20} n - 4$
65867	Evaluate the Summation	sum from n=10 to 19 of (n-3)^2	$\sum_{n = 10}^{19} {(n - 3)}^{2}$
65868	Evaluate the Summation	sum from n=11 to 13 of 8n^2	$\sum_{n = 11}^{13} 8 n^{2}$
65869	Evaluate the Summation	sum from n=13 to 16 of n-4	$\sum_{n = 13}^{16} n - 4$
65870	Evaluate the Summation	sum from n=4 to 7 of 2n	$\sum_{n = 4}^{7} 2 n$
65871	Evaluate the Summation	sum from n=3 to 9 of n+2	$\sum_{n = 3}^{9} n + 2$
65872	Evaluate the Summation	sum from n=2 to 5 of 4n	$\sum_{n = 2}^{5} 4 n$
65873	Evaluate the Summation	sum from p=0 to infinity of 5(3/4)^p	$\sum_{p = 0}^{\infty} 5 {(\frac{3}{4})}^{p}$
65874	Evaluate the Summation	sum from x=0 to 1 of 2x-1	$\sum_{x = 0}^{1} 2 x - 1$
65875	Evaluate the Summation	sum from x=0 to 1 of 2x-4	$\sum_{x = 0}^{1} 2 x - 4$
65876	Evaluate the Summation	sum from n=5 to 10 of 20-n	$\sum_{n = 5}^{10} 20 - n$
65877	Evaluate the Summation	sum from x=1 to infinity of (1/3)^(x-1)	$\sum_{x = 1}^{\infty} {(\frac{1}{3})}^{x - 1}$
65878	Evaluate the Summation	sum from n=5 to 8 of 2x	$\sum_{n = 5}^{8} 2 x$
65879	Evaluate the Summation	sum from n=51 to 100 of 5n	$\sum_{n = 51}^{100} 5 n$
65880	Evaluate the Summation	sum from x=1 to 7 of 5^(x-1)	$\sum_{x = 1}^{7} 5^{x - 1}$
65881	Evaluate the Summation	sum from x=2 to 12 of 4(-3)^(x-1)	$\sum_{x = 2}^{12} 4 {(- 3)}^{x - 1}$
65882	Evaluate the Summation	sum from x=2 to 5 of 2^x+3x-6	$\sum_{x = 2}^{5} 2^{x} + 3 x - 6$
65883	Evaluate the Summation	sum from x=2 to 7 of (x+1)/x	$\sum_{x = 2}^{7} \frac{x + 1}{x}$
65884	Evaluate the Summation	sum from x=51 to 100 of 7x	$\sum_{x = 51}^{100} 7 x$
65885	Evaluate the Summation	sum from y=1 to infinity of 8(2/3)^y	$\sum_{y = 1}^{\infty} 8 {(\frac{2}{3})}^{y}$
65886	Evaluate the Summation	sum from 1 to 10 of 10+3(n-1)	$\sum_{1}^{10} 10 + 3 (n - 1)$
65887	Evaluate the Summation	sum from 0 to 3 of 2^(n+1)	$\sum_{0}^{3} 2^{n + 1}$
65888	Evaluate the Summation	sum from x=1 to 4 of 20-x^2	$\sum_{x = 1}^{4} 20 - x^{2}$
65889	Evaluate the Summation	sum from x=1 to 4 of (x+1)!	$\sum_{x = 1}^{4} (x + 1)!$
65890	Evaluate the Summation	sum from x=1 to 3 of x^2-1	$\sum_{x = 1}^{3} x^{2} - 1$
65891	Evaluate the Summation	sum from x=1 to 3 of x-1	$\sum_{x = 1}^{3} x - 1$
65892	Evaluate the Summation	sum from x=1 to 3 of x	$\sum_{x = 1}^{3} x$
65893	Evaluate the Summation	sum from x=1 to 4 of 2x	$\sum_{x = 1}^{4} 2 x$
65894	Evaluate the Summation	sum from x=1 to 5 of 2x+3	$\sum_{x = 1}^{5} 2 x + 3$
65895	Evaluate the Summation	sum from x=1 to 5 of x+4	$\sum_{x = 1}^{5} x + 4$
65896	Evaluate the Summation	sum from x=1 to 5 of 4^(x-1)	$\sum_{x = 1}^{5} 4^{x - 1}$
65897	Evaluate the Summation	sum from x=1 to 420 of 10x-54	$\sum_{x = 1}^{420} 10 x - 54$
65898	Evaluate the Summation	sum from x=0 to 2 of 2x+2	$\sum_{x = 0}^{2} 2 x + 2$
65899	Evaluate the Summation	sum from x=0 to 2 of -x	$\sum_{x = 0}^{2} - x$
65900	Evaluate the Summation	sum from x=1 to infinity of 3(4/5)^x	$\sum_{x = 1}^{\infty} 3 {(\frac{4}{5})}^{x}$