Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3401	Find dy/dx	square root of xy=x^2y+1	$\sqrt{x y} = x^{2} y + 1$
3402	Find dy/dx	square root of xy=4+x^2y	$\sqrt{x y} = 4 + x^{2} y$
3403	Find dy/dx	e^ysin(x)=x+xy	$e^{y} \sin (x) = x + x y$
3404	Find the Antiderivative	xe^x	$x e^{x}$
3405	Find dy/dx	x^2y^2-xy=8	$x^{2} y^{2} - x y = 8$
3406	Find the Integral	natural log of x	$\ln (x)$
3407	Find dy/dx	xe^y=y-1	$x e^{y} = y - 1$
3408	Find dy/dx	y^4=y^2-x^2	$y^{4} = y^{2} - x^{2}$
3409	Find the 2nd Derivative	f(x)=(3x^3+7)^7	$f (x) = {(3 x^{3} + 7)}^{7}$
3410	Find dy/dx	xsin(y)=ycos(x)	$x \sin (y) = y \cos (x)$
3411	Find dy/dx	xy=8	$x y = 8$
3412	Find the Derivative - d/dx	y=8 square root of x	$y = 8 \sqrt{x}$
3413	Find dy/dx	cos(xy^2)=y	$\cos (x y^{2}) = y$
3414	Find dy/dx	cos(xy)+x^7=y^7	$\cos (x y) + x^{7} = y^{7}$
3415	Find dy/dx	4x+5y=xy	$4 x + 5 y = x y$
3416	Find the Derivative - d/dx	y=12 square root of x	$y = 12 \sqrt{x}$
3417	Find dy/dx	y=x^8e^x	$y = x^{8} e^{x}$
3418	Find ds/dt	s=(11t-t^2)^(2/3)	$s = {(11 t - t^{2})}^{\frac{2}{3}}$
3419	Find dA/dp	A=pr^2	$A = p r^{2}$
3420	Find the Derivative - d/d?	thetacos(theta)sin(theta)	$θ \cos (θ) \sin (θ)$
3421	Find dy/dx	4x^2-y^2=5	$4 x^{2} - y^{2} = 5$
3422	Find dy/dx	4x^2+xy+4y^2=9	$4 x^{2} + x y + 4 y^{2} = 9$
3423	Find dy/dx	4x^2-y^2=3	$4 x^{2} - y^{2} = 3$
3424	Find dy/dx	3y^2=(2x-5)/(2x+5)	$3 y^{2} = \frac{2 x - 5}{2 x + 5}$
3425	Find dy/dx	3(x^2+y^2)^2=100(x^2-y^2)	$3 {(x^{2} + y^{2})}^{2} = 100 (x^{2} - y^{2})$
3426	Evaluate the Integral	integral of square root of 7 with respect to x	$\int \sqrt{7} d x$
3427	Evaluate the Summation	sum from n=1 to infinity of -4(-1/2)^(n-1)	$\sum_{n = 1}^{\infty} - 4 {(- \frac{1}{2})}^{n - 1}$
3428	Find dy/dx	2x^2+y^2=54	$2 x^{2} + y^{2} = 54$
3429	Find dy/dx	xe^y-10x+3y=0	$x e^{y} - 10 x + 3 y = 0$
3430	Find dy/dx	xy^4+x^2y=x+3y	$x y^{4} + x^{2} y = x + 3 y$
3431	Find dy/dx	x^3+y^3=9xy	$x^{3} + y^{3} = 9 x y$
3432	Find dy/dx	x^3+y^3=28	$x^{3} + y^{3} = 28$
3433	Evaluate the Integral	integral of xsin(x) with respect to x	$\int x \sin (x) d x$
3434	Find the Derivative - d/d@VAR	f(x)=x^2-6	$f (x) = x^{2} - 6$
3435	Find dy/dx	x^2y^3-2xy^2=5	$x^{2} y^{3} - 2 x y^{2} = 5$
3436	Evaluate the Limit	limit as x approaches 3 of (x^2+3x-18)/(x^2-9)	$lim_{x \to 3} \frac{x^{2} + 3 x - 18}{x^{2} - 9}$
3437	Find dy/dx	(xy+1)^3=x-y^2+8	${(x y + 1)}^{3} = x - y^{2} + 8$
3438	Find dy/dt	y=4-t	$y = 4 - t$
3439	Find dy/dt	y=5-t	$y = 5 - t$
3440	Find dy/dx	(10-x)y^2=x^3	$(10 - x) y^{2} = x^{3}$
3441	Find dy/dx	y=(x^-2+x)^-3	$y = {(x^{- 2} + x)}^{- 3}$
3442	Find dy/dx	sin(xy)=x^2-y	$\sin (x y) = x^{2} - y$
3443	Find dy/dx	y=( square root of x-2)/( square root of x+2)	$y = \frac{\sqrt{x} - 2}{\sqrt{x} + 2}$
3444	Find dy/dx	xcos(y)+ycos(x)=1	$x \cos (y) + y \cos (x) = 1$
3445	Find dy/dx	y+16xy-12=0	$y + 16 x y - 12 = 0$
3446	Find dy/dx	4xy=32	$4 x y = 32$
3447	Find dy/dx	y = square root of 5-9x	$y = \sqrt{5 - 9 x}$
3448	Find dy/dx	y=x/(2-tan(x))	$y = \frac{x}{2 - \tan (x)}$
3449	Find dy/dx	y=x^2sin(8x)	$y = x^{2} \sin (8 x)$
3450	Find dy/dx	y=x natural log of x	$y = x \ln (x)$
3451	Find dy/dx	ycos(x)=5x^2+2y^2	$y \cos (x) = 5 x^{2} + 2 y^{2}$
3452	Find dy/dx	x^3+y^3=6xy-1	$x^{3} + y^{3} = 6 x y - 1$
3453	Find the Derivative - d/dx	y=e^(2x)	$y = e^{2 x}$
3454	Find the Derivative - d/dx	y=4x^7	$y = 4 x^{7}$
3455	Find the Derivative - d/dx	y=3 square root of x	$y = 3 \sqrt{x}$
3456	Find the Derivative - d/dx	y=x^( natural log of x)	$y = x^{\ln (x)}$
3457	Find the Derivative - d/dx	y=16x^(1/2)+4x	$y = 16 x^{\frac{1}{2}} + 4 x$
3458	Find the Derivative - d/dx	y = natural log of 4x	$y = \ln (4 x)$
3459	Find the Derivative - d/dx	y = natural log of cos(x)	$y = \ln (\cos (x))$
3460	Find the Derivative - d/dx	y=sin(x)cos(x)	$y = \sin (x) \cos (x)$
3461	Find the Derivative - d/dx	y=(8x^3+7)^(3/2)	$y = {(8 x^{3} + 7)}^{\frac{3}{2}}$
3462	Find the Derivative - d/dx	y=1/(x^4)	$y = \frac{1}{x^{4}}$
3463	Find the Derivative - d/dx	y=4^(e^(x^2))	$y = 4^{e^{x^{2}}}$
3464	Find dy/dx	y=(cot(x))/(1+cot(x))	$y = \frac{\cot (x)}{1 + \cot (x)}$
3465	Find dy/dx	y=xe^x	$y = x e^{x}$
3466	Find dy/dx	y=x square root of 1-x^2	$y = x \sqrt{1 - x^{2}}$
3467	Find the Asymptotes	f(x)=(x^2-100)/((x-9)(x+3))	$f (x) = \frac{x^{2} - 100}{(x - 9) (x + 3)}$
3468	Find the Derivative - d/dx	5^(3x)	$5^{3 x}$
3469	Find the Derivative - d/dx	7/x	$\frac{7}{x}$
3470	Find the Derivative - d/dx	1/(tan(x))	$\frac{1}{\tan (x)}$
3471	Find the Derivative - d/dx	3^(2x)	$3^{2 x}$
3472	Find the Derivative - d/dr	pr^2	$p r^{2}$
3473	Find the Derivative - d/dx	-2x	$- 2 x$
3474	Find the Derivative - d/dx	arctan(x/2)	$\arctan (\frac{x}{2})$
3475	Find the Derivative - d/dx	cos(sin(x))	$\cos (\sin (x))$
3476	Find the Derivative - d/dx	csc(2x)	$\csc (2 x)$
3477	Find the Derivative - d/dx	6sec(x)	$6 \sec (x)$
3478	Find the Derivative - d/dx	6x	$6 x$
3479	Find the Derivative - d/dx	7x	$7 x$
3480	Find the 2nd Derivative	10x^9y^5+7x^4y^8	$10 x^{9} y^{5} + 7 x^{4} y^{8}$
3481	Find the 2nd Derivative	12x(x^2+10)^5	$12 x {(x^{2} + 10)}^{5}$
3482	Evaluate the Summation	sum from i=1 to 24 of 4i	$\sum_{i = 1}^{24} 4 i$
3483	Evaluate the Summation	sum from 5 to 5 of 5	$\sum_{5}^{5} 5$
3484	Evaluate the Summation	sum from k=5 to 20 of 26+4k	$\sum_{k = 5}^{20} 26 + 4 k$
3485	Evaluate the Summation	sum from n=1 to 4 of 2n+1	$\sum_{n = 1}^{4} 2 n + 1$
3486	Evaluate Using L'Hospital's Rule	limit as x approaches 8 of ( natural log of square root of x)/(x^2)	$lim_{x \to 8} \frac{\ln (\sqrt{x})}{x^{2}}$
3487	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of x^(sin(x))	$lim_{x \to 0} x^{\sin (x)}$
3488	Evaluate Using L'Hospital's Rule	limit as x approaches 8 of (1-5/x)^x	$lim_{x \to 8} {(1 - \frac{5}{x})}^{x}$
3489	Evaluate the Integral	integral of (y-1)^7 with respect to y	$\int {(y - 1)}^{7} d y$
3490	Evaluate the Integral	integral of (arcsin(x))^2 with respect to x
3491	Evaluate the Integral	integral of (e^(arctan(x)))/(1+x^2) with respect to x	$\int \frac{e^{\arctan (x)}}{1 + x^{2}} d x$
3492	Evaluate the Integral	integral of ( natural log of (x)^7)/x with respect to x	$\int \frac{\ln ({(x)}^{7})}{x} d x$
3493	Evaluate the Integral	integral of (sec(1/x)^2)/(x^2) with respect to x	$\int \frac{\sec^{2} (\frac{1}{x})}{x^{2}} d x$
3494	Evaluate the Integral	integral of (sec(x)^2)/( square root of tan(x)) with respect to x	$\int \frac{\sec^{2} (x)}{\sqrt{\tan (x)}} d x$
3495	Evaluate the Integral	integral of (e^x)/( square root of 1-e^(2x)) with respect to x	$\int \frac{e^{x}}{\sqrt{1 - e^{2 x}}} d x$
3496	Evaluate the Integral	integral of (( natural log of x)^9)/x with respect to x	$\int \frac{\ln^{9} (x)}{x} d x$
3497	Evaluate the Integral	integral of (x-1) square root of x with respect to x	$\int (x - 1) \sqrt{x} d x$
3498	Evaluate the Integral	integral of (x^6-3x^2)^4(x^5-x) with respect to x	$\int {(x^{6} - 3 x^{2})}^{4} (x^{5} - x) d x$
3499	Evaluate the Integral	integral of (x^4+9)^8 with respect to x	$\int {(x^{4} + 9)}^{8} d x$
3500	Evaluate the Integral	integral of ( square root of t^6+7t)(6t^5+7) with respect to t	$\int (\sqrt{t^{6} + 7 t}) (6 t^{5} + 7) d t$