Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
64201	Evaluate the Summation	sum from i=1 to 9 of 6*7^(i-1)	$\sum_{i = 1}^{9} 6 {(7)}^{i - 1}$
64202	Evaluate the Summation	sum from j=1 to 6 of 8j	$\sum_{j = 1}^{6} 8 j$
64203	Evaluate the Summation	sum from i=1 to 5 of 6i^2	$\sum_{i = 1}^{5} 6 i^{2}$
64204	Evaluate the Summation	sum from i=1 to 5 of ai	$\sum_{i = 1}^{5} a i$
64205	Evaluate the Summation	sum from i=1 to 4 of 10	$\sum_{i = 1}^{4} 10$
64206	Find dy/dx	y=cos(x)^3	$y = \cos^{3} (x)$
64207	Find dy/dx	y=(x^3+x)^10	$y = {(x^{3} + x)}^{10}$
64208	Find dy/dx	y=(9x^2-18x+18)e^x	$y = (9 x^{2} - 18 x + 18) e^{x}$
64209	Find dy/dx	y=e^(5x)	$y = e^{5 x}$
64210	Find dy/dx	y=e^(3x)sin(x)	$y = e^{3 x} \sin (x)$
64211	Find dy/dx	y=6x^3	$y = 6 x^{3}$
64212	Find dy/dx	y=6^x	$y = 6^{x}$
64213	Find dy/dx	y=4x^4+9x^3+2	$y = 4 x^{4} + 9 x^{3} + 2$
64214	Find dy/dx	y^2x^3=y^5+2y^3-2	$y^{2} x^{3} = y^{5} + 2 y^{3} - 2$
64215	Find dy/dx	y^2=4-x	$y^{2} = 4 - x$
64216	Find dy/dx	x^4-4xy=3	$x^{4} - 4 x y = 3$
64217	Find dy/dx	x=sin(y)	$x = \sin (y)$
64218	Find dy/dx	y=(5x^2-10x+10)e^x	$y = (5 x^{2} - 10 x + 10) e^{x}$
64219	Find dy/dx	y=(2x^2-6)^-13	$y = {(2 x^{2} - 6)}^{- 13}$
64220	Find dy/dx	y=((x-5)/(2x-1))^3	$y = {(\frac{x - 5}{2 x - 1})}^{3}$
64221	Find dy/dx	4x^5+7y^5=11xy	$4 x^{5} + 7 y^{5} = 11 x y$
64222	Find dy/dx	6sin(xy)=7x+5y	$6 \sin (x y) = 7 x + 5 y$
64223	Find dy/dx	7xy+y^2=6x+y	$7 x y + y^{2} = 6 x + y$
64224	Find dy/dx	9x^2+16y^2=144	$9 x^{2} + 16 y^{2} = 144$
64225	Find dy/dx	x^2-4x+4y^2+16y+4=0	$x^{2} - 4 x + 4 y^{2} + 16 y + 4 = 0$
64226	Find dy/dx	(x-3)^2+(y-2)^2=25	${(x - 3)}^{2} + {(y - 2)}^{2} = 25$
64227	Find dy/dx	2x^2+3y^2=1	$2 x^{2} + 3 y^{2} = 1$
64228	Find dy/dx	3xy=4x+y^2	$3 x y = 4 x + y^{2}$
64229	Evaluate the Summation	sum from k=1 to 6 of 4k	$\sum_{k = 1}^{6} 4 k$
64230	Evaluate the Summation	sum from k=1 to infinity of (2/3)^k	$\sum_{k = 1}^{\infty} {(\frac{2}{3})}^{k}$
64231	Evaluate the Summation	sum from k=1 to 11 of 6+(k-1)*2	$\sum_{k = 1}^{11} 6 + (k - 1) \cdot 2$
64232	Evaluate the Summation	sum from n=1 to 3 of 2n-3	$\sum_{n = 1}^{3} 2 n - 3$
64233	Evaluate the Summation	sum from n=1 to 90 of 3n-4	$\sum_{n = 1}^{90} 3 n - 4$
64234	Evaluate the Summation	sum from n=1 to 5 of 3n^2	$\sum_{n = 1}^{5} 3 n^{2}$
64235	Evaluate the Summation	sum from n=1 to 10 of 2n+5	$\sum_{n = 1}^{10} 2 n + 5$
64236	Evaluate the Summation	sum from n=1 to 120 of 3n-7	$\sum_{n = 1}^{120} 3 n - 7$
64237	Evaluate the Summation	sum from n=1 to 34 of (3n)/4	$\sum_{n = 1}^{34} \frac{3 n}{4}$
64238	Evaluate the Summation	sum from n=17 to 125 of 45n	$\sum_{n = 17}^{125} 45 n$
64239	Find the Derivative - d/d@VAR	A(s)=-11/(s^6)	$A (s) = - \frac{11}{s^{6}}$
64240	Find the Derivative - d/d@VAR	C(t)=25te^(-1/5t)	$C (t) = 25 t e^{- \frac{1}{5} t}$
64241	Find the Derivative - d/d@VAR	f(x)=1/(x^12)-(2*10^6)/(x^6)	$f (x) = \frac{1}{x^{12}} - \frac{2 \cdot 10^{6}}{x^{6}}$
64242	Find the Derivative - d/d@VAR	f(x)=2/5x^15	$f (x) = \frac{2}{5} x^{15}$
64243	Find the Derivative - d/d@VAR	f(x)=(1+x+x^2)^99	$f (x) = {(1 + x + x^{2})}^{99}$
64244	Find the Derivative - d/d@VAR	f(x)=(2x^4-3)(x^2+1)	$f (x) = (2 x^{4} - 3) (x^{2} + 1)$
64245	Find the Derivative - d/d@VAR	f(t)=(1/(t-3))^2	$f (t) = {(\frac{1}{t - 3})}^{2}$
64246	Find the Derivative - d/d@VAR	f(x)=((2x+3)^4)/((3x-2)^5)	$f (x) = \frac{{(2 x + 3)}^{4}}{{(3 x - 2)}^{5}}$
64247	Find the Derivative - d/d@VAR	f(x)=4 natural log of x	$f (x) = 4 \ln (x)$
64248	Find the Derivative - d/d@VAR	f(x)=3x+8	$f (x) = 3 x + 8$
64249	Find the Derivative - d/d@VAR	f(x)=6x^5(7-x)^6	$f (x) = 6 x^{5} {(7 - x)}^{6}$
64250	Find the Derivative - d/d@VAR	f(x)=-8e^x+5x-4	$f (x) = - 8 e^{x} + 5 x - 4$
64251	Find the Derivative - d/d@VAR	f(x)=6x^3-9x+4	$f (x) = 6 x^{3} - 9 x + 4$
64252	Find the Derivative - d/d@VAR	f(x)=5^(x^3)	$f (x) = 5^{x^{3}}$
64253	Find the Derivative - d/d@VAR	f(x)=3sin(x)+2x^x	$f (x) = 3 \sin (x) + 2 x^{x}$
64254	Find the Derivative - d/d@VAR	f(x)=3x^2+2cos(x)-4e^(4x)+pi	$f (x) = 3 x^{2} + 2 \cos (x) - 4 e^{4 x} + π$
64255	Find the Derivative - d/d@VAR	f(x)=3+\|x-2\|	$f (x) = 3 + \| x - 2 \|$
64256	Find the Derivative - d/d@VAR	f(x)=3e^(-7x)	$f (x) = 3 e^{- 7 x}$
64257	Find the Derivative - d/d@VAR	f(x)=11xe^x	$f (x) = 11 x e^{x}$
64258	Find the Derivative - d/d@VAR	f(x)=2sin( square root of x)^4	$f (x) = 2 \sin^{4} (\sqrt{x})$
64259	Find the Derivative - d/d@VAR	f(x)=2x^2-4x+3	$f (x) = 2 x^{2} - 4 x + 3$
64260	Find the Derivative - d/d@VAR	f(x)=e^xsin(x)	$f (x) = e^{x} \sin (x)$
64261	Find the Derivative - d/d@VAR	f(x)=e^(-18x)	$f (x) = e^{- 18 x}$
64262	Find the Derivative - d/d@VAR	f(x)=e^(-3x)sin(2x)	$f (x) = e^{- 3 x} \sin (2 x)$
64263	Find the Derivative - d/d@VAR	f(x) = natural log of 10x+5	$f (x) = \ln (10 x + 5)$
64264	Find the Derivative - d/d@VAR	f(x)=arcsec(6x)	$f (x) = arcsec (6 x)$
64265	Find the Derivative - d/d@VAR	f(x)=-8x^3	$f (x) = - 8 x^{3}$
64266	Find the Derivative - d/d@VAR	f(x)=8x+5	$f (x) = 8 x + 5$
64267	Find the Derivative - d/d@VAR	f(x)=e^(11x)	$f (x) = e^{11 x}$
64268	Find the Derivative - d/d@VAR	f(x)=arcsin(5x)+arccos(5x)	$f (x) = \arcsin (5 x) + \arccos (5 x)$
64269	Find the Derivative - d/d@VAR	f(x)=x square root of x+2	$f (x) = x \sqrt{x + 2}$
64270	Find the Derivative - d/d@VAR	f(x)=x^12h(x)	$f (x) = x^{12} h (x)$
64271	Find the Derivative - d/d@VAR	f(x)=sin(x)+cos(x)	$f (x) = \sin (x) + \cos (x)$
64272	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of 7x	$f (x) = \ln (\ln (7 x))$
64273	Find the Derivative - d/d@VAR	f(x)=-4/x	$f (x) = \frac{- 4}{x}$
64274	Find the Derivative - d/d@VAR	f(x)=(9x^6+4x^3)^4	$f (x) = {(9 x^{6} + 4 x^{3})}^{4}$
64275	Find the Derivative - d/d@VAR	f(x)=(6x-8)/(x-8)	$f (x) = \frac{6 x - 8}{x - 8}$
64276	Find the Derivative - d/d@VAR	f(x)=(e^x)/(1+x^2)	$f (x) = \frac{e^{x}}{1 + x^{2}}$
64277	Find the Derivative - d/d@VAR	f(x)=(tan(x)-1)/(sec(x))	$f (x) = \frac{\tan (x) - 1}{\sec (x)}$
64278	Find the Derivative - d/d@VAR	f(x)=sin(3x)^2	$f (x) = \sin^{2} (3 x)$
64279	Find the Derivative - d/d@VAR	f(x) = square root of x^2-4	$f (x) = \sqrt{x^{2} - 4}$
64280	Find the Derivative - d/d@VAR	f(x) = square root of 6x-3	$f (x) = \sqrt{6 x - 3}$
64281	Find the Derivative - d/d@VAR	f(x)=(x-2)^(4/5)	$f (x) = {(x - 2)}^{\frac{4}{5}}$
64282	Find the Derivative - d/d@VAR	f(x)=cos((x^2+1)^2)	$f (x) = \cos ({(x^{2} + 1)}^{2})$
64283	Find the Derivative - d/d@VAR	f(x)=cos(3x)	$f (x) = \cos (3 x)$
64284	Find the Derivative - d/d@VAR	f(x) = natural log of 2x^3+4x-1	$f (x) = \ln (2 x^{3} + 4 x - 1)$
64285	Find the Derivative - d/dy	y square root of x+1=4	$y \sqrt{x + 1} = 4$
64286	Find the Derivative - d/dy	3x^4-2y^3+5x^2-2xy	$3 x^{4} - 2 y^{3} + 5 x^{2} - 2 x y$
64287	Find the Derivative - d/dy	2x^2y	$2 x^{2} y$
64288	Find the Derivative - d/dy	e^(15xy)	$e^{15 x y}$
64289	Find the Derivative - d/d@VAR	g(r) = square root of r+ eighth root of r	$g (r) = \sqrt{r} + \sqrt[8]{r}$
64290	Find the Derivative - d/d@VAR	g(t)=(e^(-t)+e^t)^3	$g (t) = {(e^{- t} + e^{t})}^{3}$
64291	Find the Derivative - d/d@VAR	g(t)=8 square root of t	$g (t) = 8 \sqrt{t}$
64292	Find the Derivative - d/d@VAR	g(t)=12 square root of t	$g (t) = 12 \sqrt{t}$
64293	Find the Derivative - d/d@VAR	f(z)=e^(z/(z-8))	$f (z) = e^{\frac{z}{(z - 8)}}$
64294	Find the Derivative - d/d@VAR	f(x)=x^5-4x^3+x-1	$f (x) = x^{5} - 4 x^{3} + x - 1$
64295	Find the Derivative - d/d@VAR	f(x)=x^9 natural log of x	$f (x) = x^{9} \ln (x)$
64296	Find the Derivative - d/d@VAR	f(x)=x+ square root of x+5	$f (x) = x + \sqrt{x} + 5$
64297	Find the Derivative - d/d@VAR	f(x)=x+ square root of x+7	$f (x) = x + \sqrt{x} + 7$
64298	Find the Derivative - d/d@VAR	f(x)=x^(3x)	$f (x) = x^{3 x}$
64299	Find the Derivative - d/d@VAR	f(x)=x^4-20x^2+64	$f (x) = x^{4} - 20 x^{2} + 64$
64300	Find the Derivative - d/d@VAR	f(x)=-x^2+8x-5	$f (x) = - x^{2} + 8 x - 5$