Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41501	Find the Derivative - d/d@VAR	g(z) = log base 2 of z^3+z+1	$g (z) = \log_{2} (z^{3} + z + 1)$
41502	Find the Derivative - d/d@VAR	g(z)=4z(2z^2-6z+1)^4	$g (z) = 4 z {(2 z^{2} - 6 z + 1)}^{4}$
41503	Find the Derivative - d/d@VAR	f(x) = square root of 3x	$f (x) = \sqrt{3 x}$
41504	Find the Derivative - d/d@VAR	H(x)=xsin(x)	$H (x) = x \sin (x)$
41505	Find the Derivative - d/d@VAR	h(x)=-2xsec(x)	$h (x) = - 2 x \sec (x)$
41506	Find the Derivative - d/d@VAR	h(p)=(p-2)/(p^2+4)	$h (p) = \frac{p - 2}{p^{2} + 4}$
41507	Find the Derivative - d/d@VAR	h(r)=(r^2+2r+2)/(5r+6)	$h (r) = \frac{r^{2} + 2 r + 2}{5 r + 6}$
41508	Find the Derivative - d/d@VAR	h(s)=(s^3-1)^2	$h (s) = {(s^{3} - 1)}^{2}$
41509	Find the Derivative - d/d@VAR	h(s)=(s^4-3)^2	$h (s) = {(s^{4} - 3)}^{2}$
41510	Find the Derivative - d/d@VAR	h(s)=(s^5-3)^2	$h (s) = {(s^{5} - 3)}^{2}$
41511	Find the Derivative - d/d@VAR	h(s)=(s^5-4)^2	$h (s) = {(s^{5} - 4)}^{2}$
41512	Find the Derivative - d/d@VAR	h(s)=4^(sec(s))	$h (s) = 4^{\sec (s)}$
41513	Find the Derivative - d/d@VAR	h(s)=s/( square root of s-1)	$h (s) = \frac{s}{\sqrt{s} - 1}$
41514	Find the Derivative - d/d@VAR	h(s)=s^(4/5)	$h (s) = s^{\frac{4}{5}}$
41515	Find the Derivative - d/d@VAR	h(s)=3+2/3s	$h (s) = 3 + \frac{2}{3} s$
41516	Find the Derivative - d/d@VAR	h(t)=(t^4-1)^3*(t^3+1)^4	$h (t) = {(t^{4} - 1)}^{3} \cdot {(t^{3} + 1)}^{4}$
41517	Find the Derivative - d/d@VAR	h(t)=t^2(6t+8)^3	$h (t) = t^{2} {(6 t + 8)}^{3}$
41518	Find the Derivative - d/d@VAR	h(t)=12t^2-0.125t^3	$h (t) = 12 t^{2} - 0.125 t^{3}$
41519	Find the Derivative - d/d@VAR	h(t)=-16t^2+80t+96	$h (t) = - 16 t^{2} + 80 t + 96$
41520	Find the Derivative - d/d@VAR	h(t)=(t^5-1)(4t^2-6t-3)	$h (t) = (t^{5} - 1) (4 t^{2} - 6 t - 3)$
41521	Find the Derivative - d/d@VAR	h(t)=(t^5-1)(5t^2-6t-3)	$h (t) = (t^{5} - 1) (5 t^{2} - 6 t - 3)$
41522	Find the Derivative - d/d@VAR	H(t)=(t^(5-1))e^(4t-3)	$H (t) = (t^{5 - 1}) e^{4 t - 3}$
41523	Find the Derivative - d/d@VAR	H(t)=(t^6-4)(t^3+6)	$H (t) = (t^{6} - 4) (t^{3} + 6)$
41524	Find the Derivative - d/d@VAR	h(t)=(t^9-10t^4+4t+3)	$h (t) = (t^{9} - 10 t^{4} + 4 t + 3)$
41525	Find the Derivative - d/d@VAR	h(t)=((t^3)/(t^8+9))^2	$h (t) = {(\frac{t^{3}}{t^{8} + 9})}^{2}$
41526	Find the Derivative - d/d@VAR	h(t)=(t^2+t)^4(2t^2)	$h (t) = {(t^{2} + t)}^{4} (2 t^{2})$
41527	Find the Derivative - d/d@VAR	f(x)=4/( square root of x)	$f (x) = \frac{4}{\sqrt{x}}$
41528	Find the Derivative - d/d@VAR	h(t)=(t^9-7t^3+6t^2)/(6t^2)	$h (t) = \frac{t^{9} - 7 t^{3} + 6 t^{2}}{6 t^{2}}$
41529	Find the Derivative - d/d@VAR	h(t)=(w^2+12w+1)^(5/2)	$h (t) = {(w^{2} + 12 w + 1)}^{\frac{5}{2}}$
41530	Find the Derivative - d/d@VAR	h(t)=(0)^2-(0)-6	$h (t) = {(0)}^{2} - (0) - 6$
41531	Find the Derivative - d/d@VAR	h(t)=(12t-7)^(3/4)	$h (t) = {(12 t - 7)}^{\frac{3}{4}}$
41532	Find the Derivative - d/d@VAR	h(t)=(5t^2-4t)^-4	$h (t) = {(5 t^{2} - 4 t)}^{- 4}$
41533	Find the Derivative - d/d@VAR	h(t)=(6t^2-5t)^-3	$h (t) = {(6 t^{2} - 5 t)}^{- 3}$
41534	Find the Derivative - d/d@VAR	h(t)=(7t^2-6t)^4	$h (t) = {(7 t^{2} - 6 t)}^{4}$
41535	Find the Derivative - d/d@VAR	h(t)=(t+1)^(2/3)(2t^2-1)^3	$h (t) = {(t + 1)}^{\frac{2}{3}} {(2 t^{2} - 1)}^{3}$
41536	Find the Derivative - d/d@VAR	h(t)=(t^2)/(t^2+t-2)	$h (t) = \frac{t^{2}}{t^{2} + t - 2}$
41537	Find the Derivative - d/d@VAR	h(t)=(t^2+5t+4)/(t^2-8t-9)	$h (t) = \frac{t^{2} + 5 t + 4}{t^{2} - 8 t - 9}$
41538	Find the Derivative - d/d@VAR	h(t)=(-0.05t^2)/(2t+1)	$h (t) = \frac{- 0.05 t^{2}}{2 t + 1}$
41539	Find the Derivative - d/d@VAR	h(t)=1/(t^2+4)	$h (t) = \frac{1}{t^{2} + 4}$
41540	Find the Derivative - d/d@VAR	h(t)=(1+t)/((2t^2+1)^2)	$h (t) = \frac{1 + t}{{(2 t^{2} + 1)}^{2}}$
41541	Find the Derivative - d/d@VAR	h(t)=(200t^2)/(t^2+1)	$h (t) = \frac{200 t^{2}}{t^{2} + 1}$
41542	Find the Derivative - d/d@VAR	h(t)=3/(t+1)	$h (t) = \frac{3}{t + 1}$
41543	Find the Derivative - d/d@VAR	h(t)=5/(t^(1/6))-4/(t^(4/5))	$h (t) = \frac{5}{t^{\frac{1}{6}}} - \frac{4}{t^{\frac{4}{5}}}$
41544	Find the Derivative - d/d@VAR	h(t)=6/(t^(1/2))-5/(t^(6/7))	$h (t) = \frac{6}{t^{\frac{1}{2}}} - \frac{5}{t^{\frac{6}{7}}}$
41545	Find the Derivative - d/d@VAR	h(t)=6^t-4e^t	$h (t) = 6^{t} - 4 e^{t}$
41546	Find the Derivative - d/d@VAR	h(t)=8/(t^(1/6))-5/(t^(2/5))	$h (t) = \frac{8}{t^{\frac{1}{6}}} - \frac{5}{t^{\frac{2}{5}}}$
41547	Find the Derivative - d/d@VAR	h(t)=9/t+5/(t^2)	$h (t) = \frac{9}{t} + \frac{5}{t^{2}}$
41548	Find the Derivative - d/d@VAR	h(t)=e^tcsc(t)	$h (t) = e^{t} \csc (t)$
41549	Find the Derivative - d/d@VAR	h(t)=t/(t-3)	$h (t) = \frac{t}{t - 3}$
41550	Find the Derivative - d/d@VAR	f(x)=(x+1)/(x-1)	$f (x) = \frac{x + 1}{x - 1}$
41551	Find the Derivative - d/d@VAR	h(x)=4sin(x)cos(x)	$h (x) = 4 \sin (x) \cos (x)$
41552	Find the Derivative - d/d@VAR	h(x)=5x^2(8x+7)^4	$h (x) = 5 x^{2} {(8 x + 7)}^{4}$
41553	Find the Derivative - d/d@VAR	h(x)=5x^2cos(x^3)	$h (x) = 5 x^{2} \cos (x^{3})$
41554	Find the Derivative - d/d@VAR	h(x)=5f(x)-3gx	$h (x) = 5 f (x) - 3 g x$
41555	Find the Derivative - d/d@VAR	h(x)=6x^9	$h (x) = 6 x^{9}$
41556	Find the Derivative - d/d@VAR	h(x)=7-1/3x	$h (x) = 7 - \frac{1}{3} x$
41557	Find the Derivative - d/d@VAR	h(x)=7cot(2x+3)^2	$h (x) = 7 \cot^{2} (2 x + 3)$
41558	Find the Derivative - d/d@VAR	h(x)=7x^2(8x+3)	$h (x) = 7 x^{2} (8 x + 3)$
41559	Find the Derivative - d/d@VAR	h(x)=7x^2(2x+5)^4	$h (x) = 7 x^{2} {(2 x + 5)}^{4}$
41560	Find the Derivative - d/d@VAR	h(x)=9x^3tan(8x)	$h (x) = 9 x^{3} \tan (8 x)$
41561	Find the Derivative - d/d@VAR	h(x)=cos(1-x^2)	$h (x) = \cos (1 - x^{2})$
41562	Find the Derivative - d/d@VAR	h(x)=cos(sin(5x^3))-tan(x^2)^3	$h (x) = \cos (\sin (5 x^{3})) - \tan^{3} (x^{2})$
41563	Find the Derivative - d/d@VAR	h(x)=csc(4x^3)	$h (x) = \csc (4 x^{3})$
41564	Find the Derivative - d/d@VAR	h(x)=f(g(x))	$h (x) = f (g (x))$
41565	Find the Derivative - d/d@VAR	h(x)=f(x)g(x)	$h (x) = f (x) g (x)$
41566	Find the Derivative - d/d@VAR	h(x) = natural log of eighth root of x	$h (x) = \ln (\sqrt[8]{x})$
41567	Find the Derivative - d/d@VAR	h(x) = natural log of 6x+ square root of 36x^2-2	$h (x) = \ln (6 x + \sqrt{36 x^{2} - 2})$
41568	Find the Derivative - d/d@VAR	h(x) = natural log of cos(x)	$h (x) = \ln (\cos (x))$
41569	Find the Derivative - d/d@VAR	h(x) = natural log of x+ square root of x^2-1	$h (x) = \ln (x + \sqrt{x^{2} - 1})$
41570	Find the Derivative - d/d@VAR	h(x) = natural log of x+ square root of x^2-12	$h (x) = \ln (x + \sqrt{x^{2} - 12})$
41571	Find the Derivative - d/d@VAR	h(x) = log of ax^2+bx+c^2	$h (x) = \log (a x^{2} + b x + c^{2})$
41572	Find the Derivative - d/d@VAR	H(x) = log of 3x+1	$H (x) = \log (3 x + 1)$
41573	Find the Derivative - d/d@VAR	h(x) = square root of ((x^4+x^2+1)^3(x-1)^4)/(x+1/x)	$h (x) = \sqrt{\frac{{(x^{4} + x^{2} + 1)}^{3} {(x - 1)}^{4}}{x + \frac{1}{x}}}$
41574	Find the Derivative - d/d@VAR	h(x) = square root of 1-x^2arcsin(x)	$h (x) = \sqrt{1 - x^{2}} \arcsin (x)$
41575	Find the Derivative - d/d@VAR	h(x) = square root of 4x^2+x	$h (x) = \sqrt{4 x^{2} + x}$
41576	Find the Derivative - d/d@VAR	h(x) = square root of -5x-3	$h (x) = \sqrt{- 5 x - 3}$
41577	Find the Derivative - d/d@VAR	h(x) = square root of -5x-3h(-4)	$h (x) = \sqrt{- 5 x - 3} h (- 4)$
41578	Find the Derivative - d/d@VAR	h(x) = square root of cos(2x)	$h (x) = \sqrt{\cos (2 x)}$
41579	Find the Derivative - d/d@VAR	h(x) = cube root of 6x-5	$h (x) = \sqrt[3]{6 x - 5}$
41580	Find the Derivative - d/d@VAR	h(x) = cube root of x	$h (x) = \sqrt[3]{x}$
41581	Find the Derivative - d/d@VAR	h(x)=x^(7/6)	$h (x) = x^{\frac{7}{6}}$
41582	Find the Derivative - d/d@VAR	h(x)=x^2e^(12x)	$h (x) = x^{2} e^{12 x}$
41583	Find the Derivative - d/d@VAR	h(x)=x^2+5x-4	$h (x) = x^{2} + 5 x - 4$
41584	Find the Derivative - d/d@VAR	h(x)=x^2arctan(3x)	$h (x) = x^{2} \arctan (3 x)$
41585	Find the Derivative - d/d@VAR	h(x)=x^2arctan(5x)	$h (x) = x^{2} \arctan (5 x)$
41586	Find the Derivative - d/d@VAR	h(x)=x^2arctan(6x)	$h (x) = x^{2} \arctan (6 x)$
41587	Find the Derivative - d/d@VAR	h(x)=x^3e^(-6x)	$h (x) = x^{3} e^{- 6 x}$
41588	Find the Derivative - d/d@VAR	h(x)=x^3cos(x)	$h (x) = x^{3} \cos (x)$
41589	Find the Derivative - d/d@VAR	h(x)=x^5csc(x)	$h (x) = x^{5} \csc (x)$
41590	Find the Derivative - d/d@VAR	h(x)=12(1.6^x)	$h (x) = 12 ({1.6}^{x})$
41591	Find the Derivative - d/d@VAR	h(x)=12x-x^2-3/( square root of x^2)	$h (x) = 12 x - x^{2} - \frac{3}{\sqrt{x^{2}}}$
41592	Find the Derivative - d/d@VAR	h(x)=12x-x^2-3/( square root of x)	$h (x) = 12 x - x^{2} - \frac{3}{\sqrt{x}}$
41593	Find the Derivative - d/d@VAR	h(x)=12x-x^3-3/( square root of x^3)	$h (x) = 12 x - x^{3} - \frac{3}{\sqrt{x^{3}}}$
41594	Find the Derivative - d/d@VAR	h(x)=1-3x	$h (x) = 1 - 3 x$
41595	Find the Derivative - d/d@VAR	h(x)=2x^2-x-6	$h (x) = 2 x^{2} - x - 6$
41596	Find the Derivative - d/d@VAR	h(x)=2x^3+3x^2-72x+6	$h (x) = 2 x^{3} + 3 x^{2} - 72 x + 6$
41597	Find the Derivative - d/d@VAR	H(x)=3/( square root of x+1)	$H (x) = \frac{3}{\sqrt{x + 1}}$
41598	Find the Derivative - d/d@VAR	h(x)=3/(2 square root of x)	$h (x) = \frac{3}{2 \sqrt{x}}$
41599	Find the Derivative - d/d@VAR	h(x)=3/4x^8	$h (x) = \frac{3}{4} x^{8}$
41600	Find the Derivative - d/d@VAR	h(x)=3/x-4sec(x)	$h (x) = \frac{3}{x} - 4 \sec (x)$