Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59701	Find dy/dx	y=e^(2x)	$y = e^{2 x}$
59702	Find the Antiderivative	f(x)=6x^5-8x^4-9x^2	$f (x) = 6 x^{5} - 8 x^{4} - 9 x^{2}$
59703	Find the Area Under the Curve	y=e^(2x) ; [0,5]	$y = e^{2 x}$ ; $[0, 5]$
59704	Find the Area Under the Curve	y=x^2 ; [0,2]	$y = x^{2}$ ; $[0, 2]$
59705	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x+5 ; [-4,1]	$f (x) = x^{3} - 3 x + 5$ ; $[- 4, 1]$
59706	Find Where Increasing/Decreasing Using Derivatives	( natural log of x)/x	$\frac{\ln (x)}{x}$
59707	Evaluate the Summation	sum from n=0 to infinity of x^n	$\sum_{n = 0}^{\infty} x^{n}$
59708	Evaluate the Summation	sum from k=1 to 18 of k	$\sum_{k = 1}^{18} k$
59709	Find dy/dx	y=x^( natural log of x)	$y = x^{\ln (x)}$
59710	Find dy/dx	x^2-3xy+y^3=3	$x^{2} - 3 x y + y^{3} = 3$
59711	Find dy/dx	x^2-2xy+3y^2=8	$x^{2} - 2 x y + 3 y^{2} = 8$
59712	Find dy/dx	x^3+2y^2-xy=2	$x^{3} + 2 y^{2} - x y = 2$
59713	Find dy/dx	natural log of 2x+y=x+1	$\ln (2 x + y) = x + 1$
59714	Find the Area Under the Curve	y=2x+1 ; [1,3]	$y = 2 x + 1$ ; $[1, 3]$
59715	Find the Antiderivative	f(x)=5x^4	$f (x) = 5 x^{4}$
59716	Find the Antiderivative	f(x)=x(12x+8)	$f (x) = x (12 x + 8)$
59717	Find the Second Derivative	cos(x^2)	$\cos (x^{2})$
59718	Find Where Increasing/Decreasing Using Derivatives	xe^x	$x e^{x}$
59719	Find the Integral	(x^2)/2	$\frac{x^{2}}{2}$
59720	Find the Inflection Points	f(x)=x^4-10x^3+24x^2+3x+5	$f (x) = x^{4} - 10 x^{3} + 24 x^{2} + 3 x + 5$
59721	Find the Area Under the Curve	y=e^(3x) ; [0,2]	$y = e^{3 x}$ ; $[0, 2]$
59722	Find the Antiderivative	g(t)=(8+t+t^2)/( square root of t)	$g (t) = \frac{8 + t + t^{2}}{\sqrt{t}}$
59723	Find the Antiderivative	g(t)=(4+t+t^2)/( square root of t)	$g (t) = \frac{4 + t + t^{2}}{\sqrt{t}}$
59724	Find the Antiderivative	f(x) = fourth root of x^3+ cube root of x^4	$f (x) = \sqrt[4]{x^{3}} + \sqrt[3]{x^{4}}$
59725	Find the Antiderivative	f(x)=1/( square root of x)	$f (x) = \frac{1}{\sqrt{x}}$
59726	Find the Derivative - d/dh	pir^2h	$π r^{2} h$
59727	Evaluate the Summation	sum from n=1 to 9 of (3/2)^(n-1)	$\sum_{n = 1}^{9} {(\frac{3}{2})}^{n - 1}$
59728	Evaluate the Summation	sum from n=1 to 30 of n(n^2+4)	$\sum_{n = 1}^{30} n (n^{2} + 4)$
59729	Evaluate the Summation	sum from k=1 to 15 of k^2	$\sum_{k = 1}^{15} k^{2}$
59730	Find dy/dx	y^4+3xy+x=2	$y^{4} + 3 x y + x = 2$
59731	Find dy/dx	y=cos(2x)	$y = \cos (2 x)$
59732	Evaluate the Summation	sum from i=1 to 3 of i^4-i^3	$\sum_{i = 1}^{3} i^{4} - i^{3}$
59733	Find dy/dx	3x^2-x^2y+y^4=1	$3 x^{2} - x^{2} y + y^{4} = 1$
59734	Find the Derivative - d/dt	sin(e^(-t))	$\sin (e^{- t})$
59735	Find the Derivative - d/dt	3/t	$\frac{3}{t}$
59736	Find the Inverse	f(X)=4x+2	$f (X) = 4 x + 2$
59737	Find the Inflection Points	f(x)=x^(1/3)(x+4)	$f (x) = x^{\frac{1}{3}} (x + 4)$
59738	Find the Antiderivative	f(x) = square root of 5	$f (x) = \sqrt{5}$
59739	Find the Antiderivative	f(x)=2e^x	$f (x) = 2 e^{x}$
59740	Find the Area Under the Curve	y=x^2 ; [1,4]	$y = x^{2}$ ; $[1, 4]$
59741	Find the Area Under the Curve	y=x^2 ; [1,5]	$y = x^{2}$ ; $[1, 5]$
59742	Find the Area Between the Curves	y=-x^2+6x , y=0	$y = - x^{2} + 6 x$ , $y = 0$
59743	Find the Area Between the Curves	y=x^(14/13) , y=12x^(1/13)	$y = x^{\frac{14}{13}}$ , $y = 12 x^{\frac{1}{13}}$
59744	Find the Critical Points	F(x)=x^(4/5)(x-6)^2	$F (x) = x^{\frac{4}{5}} {(x - 6)}^{2}$
59745	Divide	256/4	$\frac{256}{4}$
59746	Expand Using the Binomial Theorem	(r+2s)^3	${(r + 2 s)}^{3}$
59747	Divide	15/4	$\frac{15}{4}$
59748	Find the Derivative - d/dy	x/(x^2+y^2)	$\frac{x}{x^{2} + y^{2}}$
59749	Find the Local Maxima and Minima	f(x,y)=x^3+y^3-9xy	$f (x, y) = x^{3} + y^{3} - 9 x y$
59750	Find the Area Under the Curve	y=x^2 ; [3,5]	$y = x^{2}$ ; $[3, 5]$
59751	Solve for t	x=t^2	$x = t^{2}$
59752	Find dy/dx	y^4-4y^2=x^4-9x^2	$y^{4} - 4 y^{2} = x^{4} - 9 x^{2}$
59753	Find dy/dx	y=(x/(x+1))^5	$y = {(\frac{x}{x + 1})}^{5}$
59754	Find dB/dt	B=Pe^(rt)	$B = P e^{r t}$
59755	Find Where Increasing/Decreasing Using Derivatives	-12x^5+135x^4-400x^3	$- 12 x^{5} + 135 x^{4} - 400 x^{3}$
59756	Find the Critical Points	3x^2-6x	$3 x^{2} - 6 x$
59757	Find the Critical Points	x square root of 100-x^2	$x \sqrt{100 - x^{2}}$
59758	Find the Area Under the Curve	y=2x ; [1,3]	$y = 2 x$ ; $[1, 3]$
59759	Find the Area Under the Curve	y=x^3 ; [1,2]	$y = x^{3}$ ; $[1, 2]$
59760	Find the Area Under the Curve	y=x^3 ; [0,4]	$y = x^{3}$ ; $[0, 4]$
59761	Find the Derivative - d/dy	xe^(xy)	$x e^{x y}$
59762	Find the Derivative - d/dy	e^(6xy)	$e^{6 x y}$
59763	Find the Inverse	f(x)=x^7-2	$f (x) = x^{7} - 2$
59764	Find the Inflection Points	f(x)=x(x-4)^3	$f (x) = x {(x - 4)}^{3}$
59765	Find the Critical Points	h(t)=t^(3/4)-6t^(1/4)	$h (t) = t^{\frac{3}{4}} - 6 t^{\frac{1}{4}}$
59766	Find the Antiderivative	f(x)=0	$f (x) = 0$
59767	Find the Area Between the Curves	y=3x+10 , y=x^2	$y = 3 x + 10$ , $y = x^{2}$
59768	Solve for y	x=y^2-4y	$x = y^{2} - 4 y$
59769	Simplify	x-5>y	$x - 5 > y$
59770	Find dy/dx	x^2y-2x^2-8=0	$x^{2} y - 2 x^{2} - 8 = 0$
59771	Find dy/dx	x^4+y^4=16xy	$x^{4} + y^{4} = 16 x y$
59772	Find the Fourth Derivative	e^x	$e^{x}$
59773	Find the Critical Points	x square root of 64-x^2	$x \sqrt{64 - x^{2}}$
59774	Find the Inflection Points	f(x)=2x^4-8x+3	$f (x) = 2 x^{4} - 8 x + 3$
59775	Find the Area Under the Curve	y=2x ; [1,6]	$y = 2 x$ ; $[1, 6]$
59776	Find the Area Under the Curve	y=3x ; [1,4]	$y = 3 x$ ; $[1, 4]$
59777	Find the Area Under the Curve	y=x^3 ; [3,4]	$y = x^{3}$ ; $[3, 4]$
59778	Divide	256/2	$\frac{256}{2}$
59779	Divide	256/3	$\frac{256}{3}$
59780	Find the Derivative - d/dt	sin(t)-tcos(t)	$\sin (t) - t \cos (t)$
59781	Find the Antiderivative	f(x)=7	$f (x) = 7$
59782	Find the Antiderivative	f(x)=8x^2	$f (x) = 8 x^{2}$
59783	Find the Critical Points	g(x)=x^4-4x^2	$g (x) = x^{4} - 4 x^{2}$
59784	Find the Critical Points	f(x)=x^(4/5)(x-4)^2	$f (x) = x^{\frac{4}{5}} {(x - 4)}^{2}$
59785	Find the Domain and Range	4x^2+25y^2=100	$4 x^{2} + 25 y^{2} = 100$
59786	Solve for t	e^(2t)=2000	$e^{2 t} = 2000$
59787	Find dy/dx	5x^3-2x^2y^2+4y^3-7=0	$5 x^{3} - 2 x^{2} y^{2} + 4 y^{3} - 7 = 0$
59788	Find dy/dx	3y^2-2x^2=6-2xy	$3 y^{2} - 2 x^{2} = 6 - 2 x y$
59789	Find the Domain and Range	16x^2+4y^2=16	$16 x^{2} + 4 y^{2} = 16$
59790	Find the Area Under the Curve	y=x^2 ; [2,3]	$y = x^{2}$ ; $[2, 3]$
59791	Find the Area Under the Curve	y=x^3 ; [1,4]	$y = x^{3}$ ; $[1, 4]$
59792	Find the Derivative - d/dt	sec(t)^2-1	$\sec^{2} (t) - 1$
59793	Find the Derivative - d/dt	e^t+e^(-t)	$e^{t} + e^{- t}$
59794	Find the Derivative - d/dt	e^tcos(t)	$e^{t} \cos (t)$
59795	Find the Derivative - d/dy	8y	$8 y$
59796	Divide	10/4	$\frac{10}{4}$
59797	Find the Inflection Points	x^3-6x^2+9x	$x^{3} - 6 x^{2} + 9 x$
59798	Find the Inflection Points	x^4-2x^3	$x^{4} - 2 x^{3}$
59799	Find the Critical Points	f(x)=1/3x^3-x^2+4	$f (x) = \frac{1}{3} x^{3} - x^{2} + 4$
59800	Find the Critical Points	f(x)=5x^3e^(-x)	$f (x) = 5 x^{3} e^{- x}$