Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11101	Find dy/dx	y=x^4-4x^2+6	$y = x^{4} - 4 x^{2} + 6$
11102	Find dy/dx	x natural log of y+6y=3x^3	$x \ln (y) + 6 y = 3 x^{3}$
11103	Find dy/dz	y = natural log of cos(h(z))	$y = \ln (\cosh (z))$
11104	Find dq/dl	q=l^(1/4)	$q = l^{\frac{1}{4}}$
11105	Find dA/db	A=1/2*(bh)	$A = \frac{1}{2} \cdot (b h)$
11106	Find dy/dx	y=14x(sin( natural log of 14x)+cos( natural log of 14x))	$y = 14 x (\sin (\ln (14 x)) + \cos (\ln (14 x)))$
11107	Find ds/dt	s=24t-3t^2	$s = 24 t - 3 t^{2}$
11108	Find ds/dt	s=3250t-18.3	$s = 3250 t - 18.3$
11109	Find ds/dt	s=(1+sec(t))/(1-sec(t))	$s = \frac{1 + \sec (t)}{1 - \sec (t)}$
11110	Find ds/dt	s=(6t-t^2)^(2/3)	$s = {(6 t - t^{2})}^{\frac{2}{3}}$
11111	Find ds/dS	s=S-(Vt-(at^2)/2)	$s = S - (V t - \frac{a t^{2}}{2})$
11112	Find ds/dt	s=tan(t)-e^(-t)	$s = \tan (t) - e^{- t}$
11113	Find ds/dx	s=(4x^3-1)^4	$s = {(4 x^{3} - 1)}^{4}$
11114	Find ds/da	s=(a+bt+ct^2)/( square root of t)	$s = \frac{a + b t + c t^{2}}{\sqrt{t}}$
11115	Find the Implicit Differentiation - ds/dn	sin(2x)=0.3	$\sin (2 x) = 0.3$
11116	Find ds/dr	s = log base 5 of 5r^3	$s = \log_{5} (5 r^{3})$
11117	Find ds/dt	s=(1/3)t^3-7t^2+49t+5	$s = (\frac{1}{3}) t^{3} - 7 t^{2} + 49 t + 5$
11118	Find dr/ds	r=1/(4s^3)-8/(3s^2)	$r = \frac{1}{4 s^{3}} - \frac{8}{3 s^{2}}$
11119	Find ds/dt	s=t^3-t^2	$s = t^{3} - t^{2}$
11120	Find ds/dA	s=300A-0.10A^3	$s = 300 A - 0.1 A^{3}$
11121	Find dr/dθ	r=sin(theta^2)cos(6theta)	$r = \sin (θ^{2}) \cos (6 θ)$
11122	Find dS/dx	S+(x)ax=f(x)+c	$S + (x) a x = f (x) + c$
11123	Find dR/dx	R=2x(900+32x-x^2)	$R = 2 x (900 + 32 x - x^{2})$
11124	Find dr/dx	r=(x^4)/4+7/6x^3-x^2+6x-8	$r = \frac{x^{4}}{4} + \frac{7}{6} x^{3} - x^{2} + 6 x - 8$
11125	Find dr/dx	r=tan(3-x^2)^2	$r = \tan^{2} (3 - x^{2})$
11126	Find du/dt	u = fifth root of t+2 square root of t^5	$u = \sqrt[5]{t} + 2 \sqrt{t^{5}}$
11127	Find du/dt	u = fifth root of t+4 square root of t^5	$u = \sqrt[5]{t} + 4 \sqrt{t^{5}}$
11128	Find dx/dt	x=1+t^2	$x = 1 + t^{2}$
11129	Find dP/dt	P=40/(1+11e^(-0.08t))	$P = \frac{40}{1 + 11 e^{- 0.08 t}}$
11130	Find ds/da	s=360a-0.05a^3	$s = 360 a - 0.05 a^{3}$
11131	Find du/dt	u = seventh root of t+2 square root of t^7	$u = \sqrt[7]{t} + 2 \sqrt{t^{7}}$
11132	Find du/dv	u=v^2 square root of 6v-1	$u = v^{2} \sqrt{6 v - 1}$
11133	Find du/dv	u=v^2 square root of 8v-1	$u = v^{2} \sqrt{8 v - 1}$
11134	Find du/dv	u=v^2 square root of 8v-9	$u = v^{2} \sqrt{8 v - 9}$
11135	Find du/dv	u=2sin(v^2)cos(7v)	$u = 2 \sin (v^{2}) \cos (7 v)$
11136	Find du/dv	u = square root of square root of 2v-9	$u = \sqrt{\sqrt{2 v - 9}}$
11137	Find du/dx	u=x^3-2x	$u = x^{3} - 2 x$
11138	Find ds/dt	s = square root of 3+6t	$s = \sqrt{3 + 6 t}$
11139	Find dv/dt	v=3t^2+7t+12	$v = 3 t^{2} + 7 t + 12$
11140	Find dV/dx	V=2x^3-24x^2+54x	$V = 2 x^{3} - 24 x^{2} + 54 x$
11141	Find dV/dp	V=1/3*(pr^2h)	$V = \frac{1}{3} \cdot (p r^{2} h)$
11142	Find du/dx	u=( square root of x)/(1-x)	$u = \frac{\sqrt{x}}{1 - x}$
11143	Find dv/dt	v=(1-t)(1+t^2)^-1	$v = (1 - t) {(1 + t^{2})}^{- 1}$
11144	Find dv/dt	v=3t^2+5t+13	$v = 3 t^{2} + 5 t + 13$
11145	Find dv/dw	v=23 square root of w	$v = 23 \sqrt{w}$
11146	Find dy/dx	e^(x^2)y-3 square root of y^2+2=x^2+1	$e^{x^{2}} y - 3 \sqrt{y^{2} + 2} = x^{2} + 1$
11147	Find dV/dx	V=(15-x)(8-x)x	$V = (15 - x) (8 - x) x$
11148	Find dX/dP	X^2+3PX+P^2=79	$X^{2} + 3 P X + P^{2} = 79$
11149	Find dd/dx	(d^4x)/(dt^4)+360t^2-64sin(2t)+e^(t/2)=0	$\frac{d^{4} x}{d t^{4}} + 360 t^{2} - 64 \sin (2 t) + e^{\frac{t}{2}} = 0$
11150	Find dw/dx	w=(2x-7)^-1(x+5)	$w = {(2 x - 7)}^{- 1} (x + 5)$
11151	Find dw/dx	w=(x+4)^3(x-4)^-3	$w = {(x + 4)}^{3} {(x - 4)}^{- 3}$
11152	Find dx/dt	x^2+t^2x+t^3+8=0	$x^{2} + t^{2} x + t^{3} + 8 = 0$
11153	Find dx/dt	x=(t^2+1)/(3t)	$x = \frac{t^{2} + 1}{3 t}$
11154	Find dx/dt	x^3-tx^2-4=0	$x^{3} - t x^{2} - 4 = 0$
11155	Find dx/dt	x=t^2	$x = t^{2}$
11156	Find dx/dt	x=t^2+4	$x = t^{2} + 4$
11157	Find dx/dt	x=1+2t	$x = 1 + 2 t$
11158	Find dx/dt	x=4t^2+2	$x = 4 t^{2} + 2$
11159	Find dy/dz	a=5y^0.6x^-0.3z	$a = 5 y^{0.6} x^{- 0.3} z$
11160	Find dy/dx	y = natural log of 3x^2-5x+2	$y = \ln (3 x^{2} - 5 x + 2)$
11161	Find dx/dp	xp^3=24	$x p^{3} = 24$
11162	Find dy/dx	y=1/(x^10)	$y = \frac{1}{x^{10}}$
11163	Find dy/dx	3x^2+xy=12	$3 x^{2} + x y = 12$
11164	Find dy/dx	3x^2+4y^2=1	$3 x^{2} + 4 y^{2} = 1$
11165	Find dy/dx	3x^2-y^2=4	$3 x^{2} - y^{2} = 4$
11166	Find dy/dx	3x^2y^2=4x^2-4xy	$3 x^{2} y^{2} = 4 x^{2} - 4 x y$
11167	Find dy/dx	3e^(xy)-x=0	$3 e^{x y} - x = 0$
11168	Find dy/dx	2sin(x)cos(y)=1	$2 \sin (x) \cos (y) = 1$
11169	Find dy/dx	2x+6y=1	$2 x + 6 y = 1$
11170	Find dy/dx	3(x^2+y^2)=100(x^2-y^2)	$3 (x^{2} + y^{2}) = 100 (x^{2} - y^{2})$
11171	Find dy/dx	2xy+y+2=0	$2 x y + y + 2 = 0$
11172	Find dy/dx	2xy-3x+y=16	$2 x y - 3 x + y = 16$
11173	Find dy/dx	2y^3=xy	$2 y^{3} = x y$
11174	Find dy/dx	25(x^2-y^2)=2(x^2+y^2)^2	$25 (x^{2} - y^{2}) = 2 {(x^{2} + y^{2})}^{2}$
11175	Find dy/dx	2cos(7x)sin(6y)=8	$2 \cos (7 x) \sin (6 y) = 8$
11176	Find the Derivative - d/dy	sec(1/y)	$\sec (\frac{1}{y})$
11177	Solve for x	2e^(x+2)=5	$2 e^{x + 2} = 5$
11178	Find dy/dx	2x^2-3y^2=3	$2 x^{2} - 3 y^{2} = 3$
11179	Find dy/dx	2x^3y+3xy^3=5	$2 x^{3} y + 3 x y^{3} = 5$
11180	Find dy/dx	2x^2y-picos(y)=3pi	$2 x^{2} y - π \cos (y) = 3 π$
11181	Find dy/dx	4x^2=2y^3+4y	$4 x^{2} = 2 y^{3} + 4 y$
11182	Find dy/dx	4x^2+5xy-y^2=3	$4 x^{2} + 5 x y - y^{2} = 3$
11183	Find dy/dx	4x^2-5y^2=16	$4 x^{2} - 5 y^{2} = 16$
11184	Find dy/dx	4x^2+y^2=1	$4 x^{2} + y^{2} = 1$
11185	Solve for x	-2sin(x)+ square root of 3=0	$- 2 \sin (x) + \sqrt{3} = 0$
11186	Find dy/dx	4x^2-y^2=8	$4 x^{2} - y^{2} = 8$
11187	Find the Derivative - d/dx	square root of 3x+1	$\sqrt{3 x + 1}$
11188	Find dy/dx	4xy^3+5xy=36	$4 x y^{3} + 5 x y = 36$
11189	Find dy/dx	4x^3+x^2y-xy^3=5	$4 x^{3} + x^{2} y - x y^{3} = 5$
11190	Find dy/dx	4y^3+xy-y=500x^4	$4 y^{3} + x y - y = 500 x^{4}$
11191	Find dy/dx	3y^2-sin(xy)-5 square root of x=0	$3 y^{2} - \sin (x y) - 5 \sqrt{x} = 0$
11192	Find dy/dx	3x+5y=2	$3 x + 5 y = 2$
11193	Find dy/dx	3xy+4x+2x^3=5	$3 x y + 4 x + 2 x^{3} = 5$
11194	Find dy/dx	3xy-4y^2+18=0	$3 x y - 4 y^{2} + 18 = 0$
11195	Find dy/dx	4e^y=x^2-y^3	$4 e^{y} = x^{2} - y^{3}$
11196	Find dy/dx	3x^2-5y^2=10	$3 x^{2} - 5 y^{2} = 10$
11197	Find dy/dx	3x^2-5y^2=3	$3 x^{2} - 5 y^{2} = 3$
11198	Find dy/dx	3x^2-4y^2=12	$3 x^{2} - 4 y^{2} = 12$
11199	Find the Derivative - d/dt	4t^(-1/8)	$4 t^{- \frac{1}{8}}$
11200	Find dy/dx	3x^2-2xy+5y^2=1	$3 x^{2} - 2 x y + 5 y^{2} = 1$