Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11001	Find dy/dx	x^9(x+y)=y^2(4x-y)	$x^{9} (x + y) = y^{2} (4 x - y)$
11002	Find dy/dx	xy^3-x^5y^2=-4	$x y^{3} - x^{5} y^{2} = - 4$
11003	Find dy/dx	2x^2-3xy+y^3=-1	$2 x^{2} - 3 x y + y^{3} = - 1$
11004	Find dy/dx	2y^2-5x^2-2=0	$2 y^{2} - 5 x^{2} - 2 = 0$
11005	Find dy/dx	3x^2+5 natural log of y=12	$3 x^{2} + 5 \ln (y) = 12$
11006	Find dy/dx	3x^2-4y^3=12x^3y	$3 x^{2} - 4 y^{3} = 12 x^{3} y$
11007	Find dy/dx	3x+4y=5	$3 x + 4 y = 5$
11008	Find dy/dx	2x+7y=1	$2 x + 7 y = 1$
11009	Find dy/dx	5x^2+y^2=1	$5 x^{2} + y^{2} = 1$
11010	Find dy/dx	3xy-y^2=1	$3 x y - y^{2} = 1$
11011	Find dy/dc	3xy+x^3-9=cy	$3 x y + x^{3} - 9 = c y$
11012	Find dy/dx	4x^3+ natural log of y^2+2y=2x	$4 x^{3} + \ln (y^{2}) + 2 y = 2 x$
11013	Find dy/dt	4xe^y((dy)/(dt))+4e^y((dx)/(dt))=(d/(dt))*8- natural log of 16+4 natural log of x	$4 x e^{y} (\frac{d y}{d t}) + 4 e^{y} (\frac{d x}{d t}) = (\frac{d}{d t}) \cdot 8 - \ln (16) + 4 \ln (x)$
11014	Find dy/dx	4+9x=sin(xy^2)	$4 + 9 x = \sin (x y^{2})$
11015	Find dy/dx	4=3x+5xy^2	$4 = 3 x + 5 x y^{2}$
11016	Find the Derivative - d/d@VAR	f(x)=x^(9/2)e^x	$f (x) = x^{\frac{9}{2}} e^{x}$
11017	Find dy/dx	x^5=cot(y)	$x^{5} = \cot (y)$
11018	Find dy/dt	y=9/( square root of t)	$y = \frac{9}{\sqrt{t}}$
11019	Find dy/dt	y=arccsc(e^(5t))	$y = arccsc (e^{5 t})$
11020	Find dy/dt	y=5t(2t+3)^3	$y = 5 t {(2 t + 3)}^{3}$
11021	Find dy/du	y=(2u)/(1-4u)	$y = \frac{2 u}{1 - 4 u}$
11022	Find the Derivative - d/dx	x/(x-5)	$\frac{x}{x - 5}$
11023	Find the Derivative - d/dx	(2x-1)^3(x+7)^-3	${(2 x - 1)}^{3} {(x + 7)}^{- 3}$
11024	Find dy/dx	(2x+y)*3=x	$(2 x + y) \cdot 3 = x$
11025	Find dy/dv	y=v^2 square root of 8v-7	$y = v^{2} \sqrt{8 v - 7}$
11026	Find dy/dx	xsin(y)+ysin(x)=pi/4*(1+ square root of 2)	$x \sin (y) + y \sin (x) = \frac{π}{4} \cdot (1 + \sqrt{2})$
11027	Evaluate the Limit	limit as x approaches 9 of (x^2-2x-63)/(x-9)	$lim_{x \to 9} \frac{x^{2} - 2 x - 63}{x - 9}$
11028	Find dy/dt	2(12)(18)+(2(9)(dy))/(dt)=0	$2 (12) (18) + \frac{2 (9) (d y)}{d t} = 0$
11029	Evaluate	natural log of natural log of e^(e^6)	$\ln (\ln (e^{e^{6}}))$
11030	Find dy/dx	2x^2+6 natural log of xy=15	$2 x^{2} + 6 \ln (x y) = 15$
11031	Find dy/dx	e^(x-y) = natural log of x-y	$e^{x - y} = \ln (x - y)$
11032	Find dy/dx	x^5+32y^3 = natural log of y	$x^{5} + 32 y^{3} = \ln (y)$
11033	Find dy/dx	x natural log of 3y=5xy^3	$x \ln (3 y) = 5 x y^{3}$
11034	Find dy/dx	y=(x^6)/12* natural log of x-(x^6)/72	$y = \frac{x^{6}}{12} \cdot \ln (x) - \frac{x^{6}}{72}$
11035	Find dy/dx	y = natural log of (e^(2x))/(1+e^(2x))	$y = \ln (\frac{e^{2 x}}{1 + e^{2 x}})$
11036	Find the Derivative - d/dx	y=6x^2-10x-5x^-2	$y = 6 x^{2} - 10 x - 5 x^{- 2}$
11037	Find dy/dx	ysec(x)=xtan(y)	$y \sec (x) = x \tan (y)$
11038	Find dy/dx	y=x-1/65x^3	$y = x - \frac{1}{65} x^{3}$
11039	Find dy/dx	y=6x^3+7x^2	$y = 6 x^{3} + 7 x^{2}$
11040	Find dy/db	y=(ax+b)^2	$y = {(a x + b)}^{2}$
11041	Find dy/dx	y=(cos(2x))/(sin(x)^2)	$y = \frac{\cos (2 x)}{\sin^{2} (x)}$
11042	Find dy/dx	x^2+9y^2=9	$x^{2} + 9 y^{2} = 9$
11043	Find dy/dx	y=(-8e^(2x))/(7x-2)	$y = \frac{- 8 e^{2 x}}{7 x - 2}$
11044	Find dy/dx	y=(8x^8)/5	$y = \frac{8 x^{8}}{5}$
11045	Find dy/dx	x^3+8x+x^13y-y^6=4	$x^{3} + 8 x + x^{13} y - y^{6} = 4$
11046	Find dy/dx	y=7+cot(x)-csc(x)	$y = 7 + \cot (x) - \csc (x)$
11047	Find dy/dx	y=36x-3x^4	$y = 36 x - 3 x^{4}$
11048	Find dy/dx	y = natural log of e^(x^2)	$y = \ln (e^{x^{2}})$
11049	Find dy/dx	yx+7x^2y=e^( natural log of 3-2x)	$y x + 7 x^{2} y = e^{\ln (3 - 2 x)}$
11050	Find dy/dx	x=sin(xy)	$x = \sin (x y)$
11051	Evaluate	sin(infinity)	$\sin (\infty)$
11052	Find dy/dx	x natural log of y+y^3 = natural log of x	$x \ln (y) + y^{3} = \ln (x)$
11053	Find dy/dx	x-tan(xy)=-7	$x - \tan (x y) = - 7$
11054	Find dy/dx	xy+16=0	$x y + 16 = 0$
11055	Find dy/dx	y=((10x^5-16x^2)/(x^3))	$y = (\frac{10 x^{5} - 16 x^{2}}{x^{3}})$
11056	Find dy/dx	y=(x^5)/(x^3-3)	$y = \frac{x^{5}}{x^{3} - 3}$
11057	Find dy/dx	y=(4x)/(1-cot(x))	$y = \frac{4 x}{1 - \cot (x)}$
11058	Find dy/dx	y=(1-6x^2)/(x^4-6x^2+5)	$y = \frac{1 - 6 x^{2}}{x^{4} - 6 x^{2} + 5}$
11059	Find dy/dx	y=(x^6)/6* natural log of x-(x^6)/36	$y = \frac{x^{6}}{6} \cdot \ln (x) - \frac{x^{6}}{36}$
11060	Find the Horizontal Tangent Line	y=x^2-3	$y = x^{2} - 3$
11061	Find dr/ds	r=1/(3s^2)-7/(2s)	$r = \frac{1}{3 s^{2}} - \frac{7}{2 s}$
11062	Find dr/dx	r=(10+sec(x))sin(x)	$r = (10 + \sec (x)) \sin (x)$
11063	Find the Implicit Differentiation - dl/dn	natural log of x+ natural log of x^2=4	$\ln (x) + \ln (x^{2}) = 4$
11064	Find dy/dx	p(x)=2300x^(1/5)y^(4/5)	$p (x) = 2300 x^{\frac{1}{5}} y^{\frac{4}{5}}$
11065	Find dr/dM	r=M^2(c/2-M/3)	$r = M^{2} (\frac{c}{2} - \frac{M}{3})$
11066	Find dq/dt	q=sin(t/( square root of t+5))	$q = \sin (\frac{t}{\sqrt{t + 5}})$
11067	Find dr/dx	r=tan(2-x)	$r = \tan (2 - x)$
11068	Find dr/dx	r=tan(2-4x)	$r = \tan (2 - 4 x)$
11069	Find dr/dx	r=cos(x)cot(x)	$r = \cos (x) \cot (x)$
11070	Find dr/ds	r = log base 2 of -5s^4	$r = \log_{2} (- 5 s^{4})$
11071	Find dr/dx	r=(2(tan(2x-1)^3)^(1/2))	$r = (2 {(\tan^{3} (2 x - 1))}^{\frac{1}{2}})$
11072	Find dr/dt	r=7 natural log of cube root of t	$r = 7 \ln (\sqrt[3]{t})$
11073	Find dr/ds	r=1/(s-1)	$r = \frac{1}{s - 1}$
11074	Find dr/dx	cos(r)+cot(x)=e^(rx)	$\cos (r) + \cot (x) = e^{r x}$
11075	Find dp/dx	2p^2+x^2=1400	$2 p^{2} + x^{2} = 1400$
11076	Find dp/dq	p=(5q^2-4)^5(2q+3)^10	$p = {(5 q^{2} - 4)}^{5} {(2 q + 3)}^{10}$
11077	Find dP/dt	P=9t^5 natural log of 8t	$P = 9 t^{5} \ln (8 t)$
11078	Find dx/dr	x=(3r+2)/(2r+3)	$x = \frac{3 r + 2}{2 r + 3}$
11079	Find dq/dp	q=8000-100p	$q = 8000 - 100 p$
11080	Find dq/dp	q=900-1.5p	$q = 900 - 1.5 p$
11081	Find dq/dr	q = cube root of r+6/r	$q = \sqrt[3]{r} + \frac{6}{r}$
11082	Find dr/dx	r=-10cos(x)	$r = - 10 \cos (x)$
11083	Find da/dn	a*1=6n	$a \cdot 1 = 6 n$
11084	Find dN/dx	Nx-10x+N=300	$N x - 10 x + N = 300$
11085	Find dq/dp	q=406-0.2p^2	$q = 406 - 0.2 p^{2}$
11086	Find dy/dx	2x^3y^2+ natural log of xy^2=2	$2 x^{3} y^{2} + \ln (x y^{2}) = 2$
11087	Find dp/dq	p=90-0.05q	$p = 90 - 0.05 q$
11088	Find dp/dq	p = natural log of q^2+1	$p = \ln (q^{2} + 1)$
11089	Find dq/dp	q=-2p^2+30p	$q = - 2 p^{2} + 30 p$
11090	Find dp/dt	p = square root of 3-t	$p = \sqrt{3 - t}$
11091	Find dp/dx	p=1/12x^2-20x+1200	$p = \frac{1}{12} x^{2} - 20 x + 1200$
11092	Find dS/dA	s=330A-0.20A^3	$s = 330 A - 0.2 A^{3}$
11093	Find dD/dx	D = square root of 25.0+x^2	$D = \sqrt{25 + x^{2}}$
11094	Find da/db	a^3+b^3=91	$a^{3} + b^{3} = 91$
11095	Find the Inflection Points	f(x)=x^4-2x^2+4	$f (x) = x^{4} - 2 x^{2} + 4$
11096	Find dy/dg	g=y^2	$g = y^{2}$
11097	Find dK/dL	K=1/(L^(2/3))	$K = \frac{1}{L^{\frac{2}{3}}}$
11098	Find df/dx	f'(0.5)=(2x+4)/( square root of x)	$f' (0.5) = \frac{2 x + 4}{\sqrt{x}}$
11099	Find the Implicit Differentiation - dl/dn	natural log of x=7	$\ln (x) = 7$
11100	Find dL/dm	(L+m)(V+n)=k	$(L + m) (V + n) = k$