Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14901	Find the Derivative Using Chain Rule - d/d@VAR	s(t)=2 square root of t+1	$s (t) = 2 \sqrt{t + 1}$
14902	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=sin(x)	$f (x) = \sin (x)$
14903	Find the Derivative Using Chain Rule - d/dx	cube root of 28	$\sqrt[3]{28}$
14904	Find the Derivative Using Chain Rule - d/d?	cot(cos(x))^2	$\cot^{2} (\cos (x))$
14905	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(2x+1)^3(2x-1)^4	$f (x) = {(2 x + 1)}^{3} {(2 x - 1)}^{4}$
14906	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(1/(y^2)-3/(y^4))(y+5y^3)	$f (x) = (\frac{1}{y^{2}} - \frac{3}{y^{4}}) (y + 5 y^{3})$
14907	Find the Integral	x-2	$x - 2$
14908	Find the Integral	xsin(x^2)	$x \sin (x^{2})$
14909	Cancel the Common Factors	d/(dx)*((f(x))/k)	$\frac{d}{d x} \cdot (\frac{f (x)}{k})$
14910	Write in Standard Form	(1+3i)/(3+2i)	$\frac{1 + 3 i}{3 + 2 i}$
14911	Write in Standard Form	(2-4i)/(5+3i)	$\frac{2 - 4 i}{5 + 3 i}$
14912	Cancel the Common Factors	(9u^8v^6)/(3u^4v^8)	$\frac{9 u^{8} v^{6}}{3 u^{4} v^{8}}$
14913	Write in Standard Form	(4-2i)/i	$\frac{4 - 2 i}{i}$
14914	Cancel the Common Factors	(y^2-200y+10000)/450	$\frac{y^{2} - 200 y + 10000}{450}$
14915	Find the Derivative Using Chain Rule - d/dt	0.0018425(t+5)^2.5	$0.0018425 {(t + 5)}^{2.5}$
14916	Find the Derivative Using Chain Rule - d/ds	square root of (s^2+1)/(s^2+4)	$\sqrt{\frac{s^{2} + 1}{s^{2} + 4}}$
14917	Find the Derivative Using Chain Rule - d/dr	k(28r^2-r^3)	$k (28 r^{2} - r^{3})$
14918	Find the Derivative Using Chain Rule - d/dh	(f(x+h)-f(x))/h	$\frac{f (x + h) - f (x)}{h}$
14919	Find the Derivative Using Chain Rule - d/da	square root of 2ax-x^2	$\sqrt{2 a x - x^{2}}$
14920	Find the Derivative Using Chain Rule - d/d?	y=cot(cos(x))^2	$y = \cot^{2} (\cos (x))$
14921	Find the Derivative Using Chain Rule - d/d?	y=(-1-(csc(x))/2-(x^2)/4)^2	$y = {(- 1 - \frac{\csc (x)}{2} - \frac{x^{2}}{4})}^{2}$
14922	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=x^4(x-9)^5	$f (x) = x^{4} {(x - 9)}^{5}$
14923	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=5t^(3/5)	$f (x) = 5 t^{\frac{3}{5}}$
14924	Find the Derivative Using Chain Rule - d/d@VAR	k(x)=-2(12x^2+5)^-6	$k (x) = - 2 {(12 x^{2} + 5)}^{- 6}$
14925	Find the Derivative Using Chain Rule - d/d?	(csc(x)+cot(x))^-1	${(\csc (x) + \cot (x))}^{- 1}$
14926	Find the Derivative Using Chain Rule - d/d?	sin(3x)^7	$\sin^{7} (3 x)$
14927	Find the Derivative Using Chain Rule - d/da	(b/(a+z^2))^9	${(\frac{b}{a + z^{2}})}^{9}$
14928	Find the Derivative Using Chain Rule - d/da	y=cos(a^6+x^6)	$y = \cos (a^{6} + x^{6})$
14929	Find the Derivative Using Chain Rule - d/dg	f(g(x))	$f (g (x))$
14930	Find the Derivative Using Chain Rule - d/dn	y=3cot(nx)	$y = 3 \cot (n x)$
14931	Find the Derivative Using Chain Rule - d/dt	-2t(6t^8-1)^7	$- 2 t {(6 t^{8} - 1)}^{7}$
14932	Find the Derivative Using Chain Rule - d/dt	y=(t^2+3)/((5t-2)^9)	$y = \frac{t^{2} + 3}{{(5 t - 2)}^{9}}$
14933	Find the Derivative Using Chain Rule - d/dT	y=cos(x)^8+sin(x)^3	$y = \cos^{8} (x) + \sin^{3} (x)$
14934	Find the Derivative Using Chain Rule - d/dt	p(t)=20-7/(t+2)	$p (t) = 20 - \frac{7}{t + 2}$
14935	Find the Derivative Using Chain Rule - d/dt	10.72(0.9t+10)^0.3	$10.72 {(0.9 t + 10)}^{0.3}$
14936	Find the Derivative Using Chain Rule - d/dt	7e^(-0.2t)(1-0.2t)	$7 e^{- 0.2 t} (1 - 0.2 t)$
14937	Find the Derivative Using Chain Rule - d/du	2tan(pix^5)*(2tan(u))	$2 \tan (π x^{5}) \cdot (2 \tan (u))$
14938	Find the Derivative Using Chain Rule - d/dx	(x^3)(x-7)^4	$(x^{3}) {(x - 7)}^{4}$
14939	Find the Derivative Using Chain Rule - d/dX	(3x^3+1)(4x^3*(2x))^6	$(3 x^{3} + 1) {(4 x^{3} \cdot (2 x))}^{6}$
14940	Find the Derivative Using Chain Rule - d/dt	(4t^2-6t+10)^(3/2)	${(4 t^{2} - 6 t + 10)}^{\frac{3}{2}}$
14941	Find the x and y Intercepts	y=x-x^2	$y = x - x^{2}$
14942	Find dc/dk	c=7/(k^7)	$c = \frac{7}{k^{7}}$
14943	Find da/dy	y=a	$y = a$
14944	Find dB/dt	B=P(1+r/100)^t	$B = P {(1 + \frac{r}{100})}^{t}$
14945	Find db/dx	b^2x^2+a^2y^2=a^2b^2	$b^{2} x^{2} + a^{2} y^{2} = a^{2} b^{2}$
14946	Find dc/dq	c=0.001q^2-0.2q+11+15000/q	$c = 0.001 q^{2} - 0.2 q + 11 + \frac{15000}{q}$
14947	Find dA/dt	(dA)/(dt)=2p(40)(0.04)	$\frac{d A}{d t} = 2 p (40) (0.04)$
14948	Find da/dr	a=pr^2	$a = p r^{2}$
14949	Find the 2nd Derivative	y=1/(x^10)	$y = \frac{1}{x^{10}}$
14950	Find dA/dx	(dA)/(dx)=12-48/(x^2)	$\frac{d A}{d x} = 12 - \frac{48}{x^{2}}$
14951	Find dA/dx	A=2x^2+2916/x	$A = 2 x^{2} + \frac{2916}{x}$
14952	Find dA/dz	A/(y^8)+be^y=z	$\frac{A}{y^{8}} + b e^{y} = z$
14953	Evaluate the Integral	integral of 1/(3x^6) with respect to x	$\int \frac{1}{3 x^{6}} d x$
14954	Find da/db	a=10/(b^5)	$a = \frac{10}{b^{5}}$
14955	Evaluate the Integral	integral of 1/(x square root of 64x^2-49) with respect to x	$\int \frac{1}{x \sqrt{64 x^{2} - 49}} d x$
14956	Find d?/dy	y=xtan(x)	$y = x \tan (x)$
14957	Find da/dr	a=4pr^2	$a = 4 p r^{2}$
14958	Find df/dy	f=e^xsin(y+z)-z	$f = e^{x} \sin (y + z) - z$
14959	Find dm/dn	m=1/(n^6)	$m = \frac{1}{n^{6}}$
14960	Find dp/dq	p=10000/(q^2+25)	$p = \frac{10000}{q^{2} + 25}$
14961	Find dp/dq	p=4qe^(q^9)	$p = 4 q e^{q^{9}}$
14962	Find dp/dt	p=500/(12+5e^(-0.5t))	$p = \frac{500}{12 + 5 e^{- 0.5 t}}$
14963	Find dp/dx	p=(1000-10x)/(40-x)	$p = \frac{1000 - 10 x}{40 - x}$
14964	Find dp/dx	xp^2=5	$x p^{2} = 5$
14965	Find dp/dx	x = cube root of 15000-p^3	$x = \sqrt[3]{15000 - p^{3}}$
14966	Find dn/dm	m=11/(n^7)	$m = \frac{11}{n^{7}}$
14967	Find df/dP	(4f^2P)/(1-f^2)=K	$\frac{4 f^{2} P}{1 - f^{2}} = K$
14968	Find df/dx	f=12x+4y*e^((2x)/(7y))	$f = 12 x + 4 y \cdot e^{\frac{2 x}{7 y}}$
14969	Evaluate the Integral	integral of 2/(x^3) with respect to x	$\int \frac{2}{x^{3}} d x$
14970	Find dm/dn	m=7/(n^3)	$m = \frac{7}{n^{3}}$
14971	Find dh/dx	sin(h(x))=(e^x-e^(-x))/2	$\sinh (x) = \frac{e^{x} - e^{- x}}{2}$
14972	Find df/dx	f=(x)^2+20x+400	$f = {(x)}^{2} + 20 x + 400$
14973	Find dg/da	g(a-3)=1/((a+3)-3)	$g (a - 3) = \frac{1}{(a + 3) - 3}$
14974	Find dC/dx	C(20)=9+ square root of 2x+24	$C (20) = 9 + \sqrt{2 x + 24}$
14975	Find the x and y Intercepts	y=x^3-6x^2+4	$y = x^{3} - 6 x^{2} + 4$
14976	Find the x and y Intercepts	y=-x^3+x-5	$y = - x^{3} + x - 5$
14977	Find the x and y Intercepts	y=x^3-2x^2+x-1	$y = x^{3} - 2 x^{2} + x - 1$
14978	Find the x and y Intercepts	y=x^(5/3)-5x^(2/3)	$y = x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}$
14979	Find the x and y Intercepts	y=x^2-5	$y = x^{2} - 5$
14980	Find the x and y Intercepts	y=x^2-x+5	$y = x^{2} - x + 5$
14981	Find the x and y Intercepts	y=x^4-2x^2	$y = x^{4} - 2 x^{2}$
14982	Find the x and y Intercepts	y=-x^4+8x^3-8x+4	$y = - x^{4} + 8 x^{3} - 8 x + 4$
14983	Find the x and y Intercepts	y=x^4-3x^2	$y = x^{4} - 3 x^{2}$
14984	Find the x and y Intercepts	y=x^5-5x^4+20x^2	$y = x^{5} - 5 x^{4} + 20 x^{2}$
14985	Find the x and y Intercepts	y=(x+1)/x	$y = \frac{x + 1}{x}$
14986	Find the x and y Intercepts	y=(x-2)/(x^3-7x-6)	$y = \frac{x - 2}{x^{3} - 7 x - 6}$
14987	Find the x and y Intercepts	y=12x-4x^2-9	$y = 12 x - 4 x^{2} - 9$
14988	Find the x and y Intercepts	y=-16x+19	$y = - 16 x + 19$
14989	Find the x and y Intercepts	y=18x-9x^2-9	$y = 18 x - 9 x^{2} - 9$
14990	Find the x and y Intercepts	y=2x^2-1	$y = 2 x^{2} - 1$
14991	Find the x and y Intercepts	y=2x^3-3x^2-36x+5	$y = 2 x^{3} - 3 x^{2} - 36 x + 5$
14992	Find the x and y Intercepts	y=2-3x	$y = 2 - 3 x$
14993	Find the x and y Intercepts	y=2x+13	$y = 2 x + 13$
14994	Find the x and y Intercepts	y=-2x^2-12x-16	$y = - 2 x^{2} - 12 x - 16$
14995	Find the x and y Intercepts	y=(x-7)^5	$y = {(x - 7)}^{5}$
14996	Find the x and y Intercepts	y=(x^2-9x+36)/(x-5)	$y = \frac{x^{2} - 9 x + 36}{x - 5}$
14997	Find the x and y Intercepts	y=(x-2) square root of x^2+1	$y = (x - 2) \sqrt{x^{2} + 1}$
14998	Find the x and y Intercepts	y=(x^2-6x+12)/(x-4)	$y = \frac{x^{2} - 6 x + 12}{x - 4}$
14999	Find the x and y Intercepts	y=1/(x-7)	$y = \frac{1}{x - 7}$
15000	Find the x and y Intercepts	y=2/(x-3)	$y = \frac{2}{x - 3}$