Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
64701	Evaluate the Summation	sum from n=51 to 100 of 6n	$\sum_{n = 51}^{100} 6 n$
64702	Evaluate the Summation	sum from 0 to infinity of (x^n)/((n+5)!)	$\sum_{0}^{\infty} \frac{x^{n}}{(n + 5)!}$
64703	Evaluate the Summation	sum from 1 to infinity of 2/3	$\sum_{1}^{\infty} \frac{2}{3}$
64704	Evaluate the Summation	sum from n=1 to 80 of 2n-8	$\sum_{n = 1}^{80} 2 n - 8$
64705	Evaluate the Summation	sum from n=1 to 49 of 2n+7	$\sum_{n = 1}^{49} 2 n + 7$
64706	Evaluate the Summation	sum from n=1 to 60 of (2n-1)^2	$\sum_{n = 1}^{60} {(2 n - 1)}^{2}$
64707	Evaluate the Summation	sum from n=1 to 120 of 3n-5	$\sum_{n = 1}^{120} 3 n - 5$
64708	Evaluate the Summation	sum from n=1 to 11 of 2n-4	$\sum_{n = 1}^{11} 2 n - 4$
64709	Evaluate the Summation	sum from n=1 to 120 of 2n-5	$\sum_{n = 1}^{120} 2 n - 5$
64710	Evaluate the Summation	sum from n=1 to 4 of 2/3(-1/5)^(n-1)	$\sum_{n = 1}^{4} \frac{2}{3} {(- \frac{1}{5})}^{n - 1}$
64711	Evaluate the Summation	sum from n=1 to 4 of (1/2)^(n+1)	$\sum_{n = 1}^{4} {(\frac{1}{2})}^{n + 1}$
64712	Evaluate the Summation	sum from n=1 to 90 of 4-1/3n	$\sum_{n = 1}^{90} 4 - \frac{1}{3} n$
64713	Evaluate the Summation	sum from n=1 to 4 of 4n	$\sum_{n = 1}^{4} 4 n$
64714	Evaluate the Summation	sum from n=1 to 4 of 2n-2	$\sum_{n = 1}^{4} 2 n - 2$
64715	Evaluate the Summation	sum from n=1 to 4 of 4n-15	$\sum_{n = 1}^{4} 4 n - 15$
64716	Evaluate the Summation	sum from m=1 to 5 of 4m^2+4	$\sum_{m = 1}^{5} 4 m^{2} + 4$
64717	Evaluate the Summation	sum from n=0 to infinity of 2(1/5)^n	$\sum_{n = 0}^{\infty} 2 {(\frac{1}{5})}^{n}$
64718	Evaluate the Summation	sum from n=0 to infinity of 9(0.25)^n	$\sum_{n = 0}^{\infty} 9 {(0.25)}^{n}$
64719	Evaluate the Summation	sum from n=1 to infinity of n/(2^n)	$\sum_{n = 1}^{\infty} \frac{n}{2^{n}}$
64720	Evaluate the Summation	sum from k=1 to 9 of 2.5k-7.3	$\sum_{k = 1}^{9} 2.5 k - 7.3$
64721	Evaluate the Summation	sum from k=1 to 100 of (k-1)^2	$\sum_{k = 1}^{100} {(k - 1)}^{2}$
64722	Evaluate the Summation	sum from k=1 to 13 of 15k-4	$\sum_{k = 1}^{13} 15 k - 4$
64723	Evaluate the Summation	sum from k=1 to 15 of 2-3k	$\sum_{k = 1}^{15} 2 - 3 k$
64724	Evaluate the Summation	sum from k=1 to infinity of 3(-1/2)^(k-1)	$\sum_{k = 1}^{\infty} 3 {(- \frac{1}{2})}^{k - 1}$
64725	Evaluate the Summation	sum from k=1 to 84 of 3k-8	$\sum_{k = 1}^{84} 3 k - 8$
64726	Evaluate the Summation	sum from 4 to 18 of (n+1)^2	$\sum_{4}^{18} {(n + 1)}^{2}$
64727	Evaluate the Summation	sum from 1 to 35 of n	$\sum_{1}^{35} n$
64728	Evaluate the Summation	sum from 1 to 20 of -4n+2	$\sum_{1}^{20} - 4 n + 2$
64729	Evaluate the Summation	sum from 1 to 24 of 2n+1	$\sum_{1}^{24} 2 n + 1$
64730	Find dy/dx	3x^2-y^2-2=0	$3 x^{2} - y^{2} - 2 = 0$
64731	Find dy/dx	3x^2+4y^2=4	$3 x^{2} + 4 y^{2} = 4$
64732	Find dy/dx	1+x=sin(xy^2)	$1 + x = \sin (x y^{2})$
64733	Find dy/dx	12x+y^3-4xy=27	$12 x + y^{3} - 4 x y = 27$
64734	Find dy/dx	2(x^2+y^2)=25(x^2-y^2)	$2 (x^{2} + y^{2}) = 25 (x^{2} - y^{2})$
64735	Find dy/dx	2 square root of x-3 square root of y=3	$2 \sqrt{x} - 3 \sqrt{y} = 3$
64736	Find dy/dx	sin(4y)=x	$\sin (4 y) = x$
64737	Find dy/dx	sin(xy)=1-cos(y)	$\sin (x y) = 1 - \cos (y)$
64738	Find dy/dx	(x+y^2)^10=3x^2+7	${(x + y^{2})}^{10} = 3 x^{2} + 7$
64739	Find dy/dx	2/x=y/12	$\frac{2}{x} = \frac{y}{12}$
64740	Find dy/dx	(2+3x)^4=xy^2	${(2 + 3 x)}^{4} = x y^{2}$
64741	Find dx/dy	y=x^2sin(4x)	$y = x^{2} \sin (4 x)$
64742	Find dw/dz	w=3z^2e^z	$w = 3 z^{2} e^{z}$
64743	Find dy/dx	x^2y=y-7	$x^{2} y = y - 7$
64744	Find dy/dx	x^2+xy+2y^2=32	$x^{2} + x y + 2 y^{2} = 32$
64745	Find dy/dx	x^3y+y^3x=5	$x^{3} y + y^{3} x = 5$
64746	Find dy/dx	x^3+y^5=3x^2-6y	$x^{3} + y^{5} = 3 x^{2} - 6 y$
64747	Find dy/dx	x square root of y=1	$x \sqrt{y} = 1$
64748	Find dy/dx	x^2+xy+2y^2=16	$x^{2} + x y + 2 y^{2} = 16$
64749	Find dy/dx	e^x-y=xy^3+e^2-18	$e^{x} - y = x y^{3} + e^{2} - 18$
64750	Find dy/dx	natural log of xy+5x=30	$\ln (x y) + 5 x = 30$
64751	Find dy/dx	6cos(xy)=5x+7y	$6 \cos (x y) = 5 x + 7 y$
64752	Find dy/dx	4x^3+7y^3=11xy	$4 x^{3} + 7 y^{3} = 11 x y$
64753	Find dy/dx	4x^3+x^2y-xy^3=1	$4 x^{3} + x^{2} y - x y^{3} = 1$
64754	Find dy/dx	6x^2+y^2=5	$6 x^{2} + y^{2} = 5$
64755	Find dy/dx	6x^3+5y^3=11xy	$6 x^{3} + 5 y^{3} = 11 x y$
64756	Find dy/dx	y=((1+x^2)/(1-x^2))^17	$y = {(\frac{1 + x^{2}}{1 - x^{2}})}^{17}$
64757	Find dy/dx	y=1/3(x^2+2)^(3/2)	$y = \frac{1}{3} {(x^{2} + 2)}^{\frac{3}{2}}$
64758	Find dy/dx	y=(tan(x))/(1+tan(x))	$y = \frac{\tan (x)}{1 + \tan (x)}$
64759	Find dy/dx	y=(3x)/8	$y = \frac{3 x}{8}$
64760	Find dy/dx	y=(3x+5)^10	$y = {(3 x + 5)}^{10}$
64761	Find dy/dx	y=(3x^2-9)^-13	$y = {(3 x^{2} - 9)}^{- 13}$
64762	Find dy/dx	y=(4x-5)^3(4x+2)^3	$y = {(4 x - 5)}^{3} {(4 x + 2)}^{3}$
64763	Find dy/dx	y=(4x-7)^5(5x+8)^3	$y = {(4 x - 7)}^{5} {(5 x + 8)}^{3}$
64764	Find dy/dx	y=(5x)/6	$y = \frac{5 x}{6}$
64765	Find dy/dx	x^9y^8-y=x	$x^{9} y^{8} - y = x$
64766	Find dy/dx	x+y^3-xy=1	$x + y^{3} - x y = 1$
64767	Find dy/dx	x=y^3-4y^2+1	$x = y^{3} - 4 y^{2} + 1$
64768	Find dy/dx	xy^3-7y+y^2-4=0	$x y^{3} - 7 y + y^{2} - 4 = 0$
64769	Find dy/dx	y^2=2x	$y^{2} = 2 x$
64770	Find dy/dx	y^2=3x	$y^{2} = 3 x$
64771	Find dy/dx	y^2-4xy+x^2=10	$y^{2} - 4 x y + x^{2} = 10$
64772	Find dy/dx	y^3-xy=-6	$y^{3} - x y = - 6$
64773	Find dy/dx	xy=cos(xy)	$x y = \cos (x y)$
64774	Find dy/dx	y(x^2+36)=72	$y (x^{2} + 36) = 72$
64775	Find dy/dx	y=e^( cube root of x)	$y = e^{\sqrt[3]{x}}$
64776	Find dy/dx	y=9xarcsin(x)	$y = 9 x \arcsin (x)$
64777	Find dy/dx	y=cos(x)^8	$y = \cos^{8} (x)$
64778	Find dy/dx	y=8 log base 2 of x	$y = 8 \log_{2} (x)$
64779	Find dy/dx	y=8^(4x^2+9x)	$y = 8^{4 x^{2} + 9 x}$
64780	Find dy/dx	y = square root of x(x-14)	$y = \sqrt{x} (x - 14)$
64781	Find dy/dx	y=2x^3-2x	$y = 2 x^{3} - 2 x$
64782	Find dy/dx	y=2xe^x-2e^x	$y = 2 x e^{x} - 2 e^{x}$
64783	Find dy/dx	y = natural log of sin(x)	$y = \ln (\sin (x))$
64784	Find dy/dx	y=( natural log of x)/(x^7)	$y = \frac{\ln (x)}{x^{7}}$
64785	Find dy/dx	y=80/(x^9)	$y = \frac{80}{x^{9}}$
64786	Find dy/dx	y=(cot(x)-csc(x))^-1	$y = {(\cot (x) - \csc (x))}^{- 1}$
64787	Find dy/dx	y = cube root of 2x	$y = \sqrt[3]{2 x}$
64788	Find dy/dx	y = square root of (x^2-25)/(x^2+25) , x>5	$y = \sqrt{\frac{x^{2} - 25}{x^{2} + 25}}$ , $x > 5$
64789	Find dy/dx	y = square root of 3-x	$y = \sqrt{3 - x}$
64790	Evaluate the Summation	sum from i=1 to 60 of -4i	$\sum_{i = 1}^{60} - 4 i$
64791	Evaluate the Summation	sum from i=1 to 4 of i(i-2)	$\sum_{i = 1}^{4} i (i - 2)$
64792	Evaluate the Summation	sum from i=1 to 6 of 7i-2	$\sum_{i = 1}^{6} 7 i - 2$
64793	Evaluate the Summation	sum from i=1 to 5 of \|3i-10\|	$\sum_{i = 1}^{5} \| 3 i - 10 \|$
64794	Evaluate the Summation	sum from i=1 to 5 of 3i-1	$\sum_{i = 1}^{5} 3 i - 1$
64795	Evaluate the Summation	sum from i=4 to 7 of 4^i	$\sum_{i = 4}^{7} 4^{i}$
64796	Evaluate the Summation	sum from k=0 to 5 of c	$\sum_{k = 0}^{5} c$
64797	Evaluate the Summation	sum from j=1 to 5 of 4j-16	$\sum_{j = 1}^{5} 4 j - 16$
64798	Evaluate the Summation	sum from j=1 to 6 of 10j	$\sum_{j = 1}^{6} 10 j$
64799	Evaluate the Summation	sum from j=1 to 6 of 3j	$\sum_{j = 1}^{6} 3 j$
64800	Evaluate the Summation	sum from i=-2 to 3 of 3*2^i	$\sum_{i = - 2}^{3} 3 {(2)}^{i}$