Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
63901	Find the Derivative - d/d@VAR	f(x)=(7x^6+4x^3)^4	$f (x) = {(7 x^{6} + 4 x^{3})}^{4}$
63902	Find the Derivative - d/d@VAR	f(x)=e^x-x^5	$f (x) = e^{x} - x^{5}$
63903	Find the Derivative - d/d@VAR	f(x)=(1+8x^2)(x-x^2)	$f (x) = (1 + 8 x^{2}) (x - x^{2})$
63904	Find the Derivative - d/d@VAR	f(x)=16/x	$f (x) = \frac{16}{x}$
63905	Find the Second Derivative	sixth root of x	$\sqrt[6]{x}$
63906	Evaluate the Summation	sum from i=1 to 6 of 2i^2	$\sum_{i = 1}^{6} 2 i^{2}$
63907	Evaluate the Summation	sum from i=1 to 5 of 2i^2-3	$\sum_{i = 1}^{5} 2 i^{2} - 3$
63908	Find dy/dx	2y-x+xy=4	$2 y - x + x y = 4$
63909	Evaluate the Summation	sum from k=1 to 88 of k	$\sum_{k = 1}^{88} k$
63910	Evaluate the Summation	sum from k=6 to 15 of k^2	$\sum_{k = 6}^{15} k^{2}$
63911	Evaluate the Summation	sum from n=1 to 5 of 2n^2	$\sum_{n = 1}^{5} 2 n^{2}$
63912	Evaluate the Summation	sum from n=1 to 150 of -1-(n-1)	$\sum_{n = 1}^{150} - 1 - (n - 1)$
63913	Expand Using the Binomial Theorem	(r+3s)^3	${(r + 3 s)}^{3}$
63914	Find the Integral	1/(x+1)	$\frac{1}{x + 1}$
63915	Find the Integral	integral of 1/y with respect to y	$\int \frac{1}{y} d y$
63916	Find the Integral	integral of sin(x)^3 with respect to x	$\int \sin^{3} (x) d x$
63917	Find the Derivative - d/d@VAR	f(x)=1/(x^10)	$f (x) = \frac{1}{x^{10}}$
63918	Find the Derivative - d/d@VAR	f(x)=3x^5 natural log of x	$f (x) = 3 x^{5} \ln (x)$
63919	Find the Derivative - d/d@VAR	f(x)=-3e^(1/3x^2-4)	$f (x) = - 3 e^{\frac{1}{3} x^{2} - 4}$
63920	Find the Derivative - d/d@VAR	f(x)=2^50	$f (x) = 2^{50}$
63921	Find the Derivative - d/d@VAR	f(x)=e^(x^4+5x)	$f (x) = e^{x^{4} + 5 x}$
63922	Find the Derivative - d/d@VAR	f(x)=-cos(x)	$f (x) = - \cos (x)$
63923	Find the Derivative - d/d@VAR	f(x)=sec(x)^2	$f (x) = \sec^{2} (x)$
63924	Find the Derivative - d/d@VAR	H(theta)=thetasin(theta)	$H (θ) = θ \sin (θ)$
63925	Find the Second Derivative	7x^(3/2)	$7 x^{\frac{3}{2}}$
63926	Find the Second Derivative	y=2x^2+8x-9	$y = 2 x^{2} + 8 x - 9$
63927	Evaluate the Summation	sum from n=2 to 6 of 3n	$\sum_{n = 2}^{6} 3 n$
63928	Evaluate the Summation	sum from x=1 to 3 of 17x-15	$\sum_{x = 1}^{3} 17 x - 15$
63929	Evaluate the Summation	sum from n=1 to 120 of 2n-9	$\sum_{n = 1}^{120} 2 n - 9$
63930	Evaluate the Summation	sum from n=1 to 4 of 7n+1	$\sum_{n = 1}^{4} 7 n + 1$
63931	Evaluate the Summation	sum from n=1 to 80 of 2n-9	$\sum_{n = 1}^{80} 2 n - 9$
63932	Evaluate the Summation	sum from 4 to 12 of 50(2)^(-n)	$\sum_{4}^{12} 50 {(2)}^{- n}$
63933	Find dy/dx	x^3+y^2=3xy	$x^{3} + y^{2} = 3 x y$
63934	Find dy/dx	y=4x^2	$y = 4 x^{2}$
63935	Find dy/dx	y=(4x^3+7)^(3/2)	$y = {(4 x^{3} + 7)}^{\frac{3}{2}}$
63936	Evaluate the Summation	sum from k=0 to 4 of 3k+3	$\sum_{k = 0}^{4} 3 k + 3$
63937	Evaluate the Summation	sum from k=0 to 4 of 3^k	$\sum_{k = 0}^{4} 3^{k}$
63938	Find dy/dx	y=x^2sin(4x)	$y = x^{2} \sin (4 x)$
63939	Find dy/dx	y=x^0.55	$y = x^{0.55}$
63940	Find the Integral	((x^2-3x^2+2x-1)dx)/(x^2-4x+4)	$\frac{(x^{2} - 3 x^{2} + 2 x - 1) d x}{x^{2} - 4 x + 4}$
63941	Convert to Interval Notation	-2<=x<=2	$- 2 \leq x \leq 2$
63942	Find the Second Derivative	x^5e^x	$x^{5} e^{x}$
63943	Find the Derivative - d/dq	q = square root of 19r-r^3	$q = \sqrt{19 r - r^{3}}$
63944	Find the Derivative - d/d@VAR	H(theta)=thetacos(theta)	$H (θ) = θ \cos (θ)$
63945	Find the Derivative - d/d@VAR	h(x)=x^2arctan(4x)	$h (x) = x^{2} \arctan (4 x)$
63946	Find the Derivative - d/d@VAR	f(x)=x^(2x)	$f (x) = x^{2 x}$
63947	Find the Derivative - d/d@VAR	f(x)=xe^(-x^3)	$f (x) = x e^{- x^{3}}$
63948	Find the Derivative - d/d@VAR	f(x) = natural log of sin(x)	$f (x) = \ln (\sin (x))$
63949	Find the Derivative - d/d@VAR	f(x) = square root of 17x-x^3	$f (x) = \sqrt{17 x - x^{3}}$
63950	Find the Derivative - d/d@VAR	f(x)=4/3pix^3	$f (x) = \frac{4}{3} π x^{3}$
63951	Find the Derivative - d/d@VAR	f(x)=(-3x^2+2)(2x)	$f (x) = (- 3 x^{2} + 2) (2 x)$
63952	Find the Derivative - d/d@VAR	f(x)=9/(x^3)	$f (x) = \frac{9}{x^{3}}$
63953	Find the Derivative - d/d@VAR	f(x)=arcsec(3x)	$f (x) = arcsec (3 x)$
63954	Find the Derivative - d/d@VAR	f(x)=8x	$f (x) = 8 x$
63955	Find the Derivative - d/d@VAR	f(x)=e^(x^4+9x)	$f (x) = e^{x^{4} + 9 x}$
63956	Find the Derivative - d/d@VAR	f(x)=e^x-x^8	$f (x) = e^{x} - x^{8}$
63957	Find the Derivative - d/d@VAR	f(x)=3e^(-8x^2)	$f (x) = 3 e^{- 8 x^{2}}$
63958	Find the Derivative - d/d@VAR	f(t)=( cube root of t)/(t-6)	$f (t) = \frac{\sqrt[3]{t}}{t - 6}$
63959	Find the Derivative - d/d@VAR	f(t)=( cube root of t)/(t-9)	$f (t) = \frac{\sqrt[3]{t}}{t - 9}$
63960	Find the Derivative - d/d@VAR	f(x)=(1+5x^2)(x-x^2)	$f (x) = (1 + 5 x^{2}) (x - x^{2})$
63961	Find the Derivative - d/d@VAR	f(x)=(2x)^6	$f (x) = {(2 x)}^{6}$
63962	Evaluate the Summation	sum from i=1 to 5 of i(i+5)	$\sum_{i = 1}^{5} i (i + 5)$
63963	Find dy/dx	y=((x+4)(x^2-4x+16))/(x^3)	$y = \frac{(x + 4) (x^{2} - 4 x + 16)}{x^{3}}$
63964	Find dy/dx	y=1/27(9x^2+6)^(3/2)	$y = \frac{1}{27} {(9 x^{2} + 6)}^{\frac{3}{2}}$
63965	Find dy/dx	y=2/3(x^2+1)^(3/2)	$y = \frac{2}{3} {(x^{2} + 1)}^{\frac{3}{2}}$
63966	Find dy/dx	x^4+y^4=12xy	$x^{4} + y^{4} = 12 x y$
63967	Find dy/dx	square root of x+y=7+x^2y^2	$\sqrt{x + y} = 7 + x^{2} y^{2}$
63968	Find dy/dx	(dy)/(dx)=xy	$\frac{d y}{d x} = x y$
63969	Evaluate the Summation	sum from k=1 to 9 of 2(4)^(k-1)	$\sum_{k = 1}^{9} 2 {(4)}^{k - 1}$
63970	Evaluate the Summation	sum from k=5 to 55 of 5	$\sum_{k = 5}^{55} 5$
63971	Evaluate the Summation	sum from x=1 to 85 of 2x+6	$\sum_{x = 1}^{85} 2 x + 6$
63972	Find the Second Derivative	G(r) = square root of r+ ninth root of r	$G (r) = \sqrt{r} + \sqrt[9]{r}$
63973	Find the Integral	integral from 0 to 1 of 1/(x^2-2x+2) with respect to x	$\int_{0}^{1} \frac{1}{x^{2} - 2 x + 2} d x$
63974	Find the Integral	integral from 1 to infinity of 1/(x^2) with respect to x	$\int_{1}^{\infty} \frac{1}{x^{2}} d x$
63975	Find the Derivative - d/d@VAR	F(x)=3/4x^12	$F (x) = \frac{3}{4} x^{12}$
63976	Find the Derivative - d/d@VAR	f(x)=1/2	$f (x) = \frac{1}{2}$
63977	Find the Derivative - d/d@VAR	f(t)=(cos(t))/(t^5)	$f (t) = \frac{\cos (t)}{t^{5}}$
63978	Find the Derivative - d/d@VAR	f(t)=3te^(-t^2)	$f (t) = 3 t e^{- t^{2}}$
63979	Find the Derivative - d/d@VAR	F(t)=e^(2tsin(2t))	$F (t) = e^{2 t \sin (2 t)}$
63980	Find the Derivative - d/d@VAR	f(x)=4xe^x	$f (x) = 4 x e^{x}$
63981	Find the Derivative - d/d@VAR	f(x)=-5x^2	$f (x) = - 5 x^{2}$
63982	Find the Derivative - d/d@VAR	f(x)=3x^5sin(9x)	$f (x) = 3 x^{5} \sin (9 x)$
63983	Find the Derivative - d/d@VAR	f(x)=2e^(2x)	$f (x) = 2 e^{2 x}$
63984	Find the Derivative - d/d@VAR	f(x)=e^(5x)+sin(3x)	$f (x) = e^{5 x} + \sin (3 x)$
63985	Find the Derivative - d/d@VAR	f(x)=-8x^2	$f (x) = - 8 x^{2}$
63986	Find the Derivative - d/d@VAR	f(x)=e^(-10x)	$f (x) = e^{- 10 x}$
63987	Find the Derivative - d/d@VAR	f(x)=e^(-12x)	$f (x) = e^{- 12 x}$
63988	Find the Derivative - d/d@VAR	f(x)=sin(3x)	$f (x) = \sin (3 x)$
63989	Find the Derivative - d/d@VAR	f(x)=x/(8x-8)	$f (x) = \frac{x}{8 x - 8}$
63990	Find the Derivative - d/d@VAR	f(x) = square root of 12x	$f (x) = \sqrt{12 x}$
63991	Find the Derivative - d/d@VAR	f(x)=(x^3-2x)^2	$f (x) = {(x^{3} - 2 x)}^{2}$
63992	Find the Derivative - d/d@VAR	f(z)=(2z+e^(-z^2))^3	$f (z) = {(2 z + e^{- z^{2}})}^{3}$
63993	Find the Derivative - d/d@VAR	G(r) = square root of r+ cube root of r	$G (r) = \sqrt{r} + \sqrt[3]{r}$
63994	Find the Derivative - d/d@VAR	g(r) = square root of r+ fifth root of r	$g (r) = \sqrt{r} + \sqrt[5]{r}$
63995	Find the Derivative - d/d@VAR	f(x)=x^3-1/(3x^5)+2 square root of x-3/x+(1-2x)/(x^3)	$f (x) = x^{3} - \frac{1}{3 x^{5}} + 2 \sqrt{x} - \frac{3}{x} + \frac{1 - 2 x}{x^{3}}$
63996	Find the Derivative - d/d@VAR	h(x)=x^2e^(5x)	$h (x) = x^{2} e^{5 x}$
63997	Find the Derivative - d/d@VAR	h(x)=x^2e^(6x)	$h (x) = x^{2} e^{6 x}$
63998	Find the Derivative - d/d@VAR	g(x)=x^2(1-8x)	$g (x) = x^{2} (1 - 8 x)$
63999	Find the Derivative - d/d@VAR	h(t)=(t^4-1)^9(t^3+1)^4	$h (t) = {(t^{4} - 1)}^{9} {(t^{3} + 1)}^{4}$
64000	Find the Derivative - d/d@VAR	h(t) = fourth root of t-4e^t	$h (t) = \sqrt[4]{t} - 4 e^{t}$