Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41601	Find the Derivative - d/d@VAR	h(x)=5/((6x-3)^6)	$h (x) = \frac{5}{{(6 x - 3)}^{6}}$
41602	Find the Derivative - d/d@VAR	h(x)=5/( square root of x)	$h (x) = \frac{5}{\sqrt{x}}$
41603	Find the Derivative - d/d@VAR	h(x)=5/x-19sec(x)	$h (x) = \frac{5}{x} - 19 \sec (x)$
41604	Find the Derivative - d/d@VAR	h(x)=5^(3x-5)+e^(xcos(x))+ log base 4 of x^4+7x	$h (x) = 5^{3 x - 5} + e^{x \cos (x)} + \log_{4} (x^{4} + 7 x)$
41605	Find the Derivative - d/d@VAR	h(x)=7^(x^2-x)	$h (x) = 7^{x^{2} - x}$
41606	Find the Derivative - d/d@VAR	h(x)=(ax+b)/c	$h (x) = \frac{a x + b}{c}$
41607	Find the Derivative - d/d@VAR	h(x)=(ax+b)/x	$h (x) = \frac{a x + b}{x}$
41608	Find the Derivative - d/d@VAR	h(x)=arccos( natural log of square root of x)	$h (x) = \arccos (\ln (\sqrt{x}))$
41609	Find the Derivative - d/d@VAR	h(x)=e^(5x)	$h (x) = e^{5 x}$
41610	Find the Derivative - d/d@VAR	f(x)=7x^4	$f (x) = 7 x^{4}$
41611	Find the Derivative - d/d@VAR	h(x)=( natural log of 6t)/( natural log of 12t)	$h (x) = \frac{\ln (6 t)}{\ln (12 t)}$
41612	Find the Derivative - d/d@VAR	h(x)=1/((2x-3)^0.5)+(2x-3)^0.5	$h (x) = \frac{1}{{(2 x - 3)}^{0.5}} + {(2 x - 3)}^{0.5}$
41613	Find the Derivative - d/d@VAR	h(x)=1/(x^2-5)	$h (x) = \frac{1}{x^{2} - 5}$
41614	Find the Derivative - d/d@VAR	h(x)=-1/2x-3	$h (x) = - \frac{1}{2} x - 3$
41615	Find the Derivative - d/d@VAR	h(x)=1/x-4	$h (x) = \frac{1}{x} - 4$
41616	Find the Derivative - d/d@VAR	h(x)=(x^6-1)^3	$h (x) = {(x^{6} - 1)}^{3}$
41617	Find the Derivative - d/d@VAR	h(x)=(x^6-2)^2	$h (x) = {(x^{6} - 2)}^{2}$
41618	Find the Derivative - d/d@VAR	h(x)=(x^6-2)^3	$h (x) = {(x^{6} - 2)}^{3}$
41619	Find the Derivative - d/d@VAR	h(x)=(x^7-2)^3	$h (x) = {(x^{7} - 2)}^{3}$
41620	Find the Derivative - d/d@VAR	h(x)=(2x^2+1)^8(1-3x^3)^9	$h (x) = {(2 x^{2} + 1)}^{8} {(1 - 3 x^{3})}^{9}$
41621	Find the Derivative - d/d@VAR	h(x)=(2x^2-3x+1)/x	$h (x) = \frac{2 x^{2} - 3 x + 1}{x}$
41622	Find the Derivative - d/d@VAR	H(x)=(2-6x)^5	$H (x) = {(2 - 6 x)}^{5}$
41623	Find the Derivative - d/d@VAR	h(x)=(3x^2+4x- natural log of x)^100	$h (x) = {(3 x^{2} + 4 x - \ln (x))}^{100}$
41624	Find the Derivative - d/d@VAR	h(x)=(5x-6)^2	$h (x) = {(5 x - 6)}^{2}$
41625	Find the Derivative - d/d@VAR	h(x)=(8-5x)^3-7(8-5x)^2+3(8-5x)-1	$h (x) = {(8 - 5 x)}^{3} - 7 {(8 - 5 x)}^{2} + 3 (8 - 5 x) - 1$
41626	Find the Derivative - d/d@VAR	h(x)=(9x^-2-2x+8)^(5/2)	$h (x) = {(9 x^{- 2} - 2 x + 8)}^{\frac{5}{2}}$
41627	Find the Derivative - d/d@VAR	h(x)=cos(2x)^(1/2)	$h (x) = {\cos (2 x)}^{\frac{1}{2}}$
41628	Find the Derivative - d/d@VAR	h(x)=(x+1)^7-7x-1	$h (x) = {(x + 1)}^{7} - 7 x - 1$
41629	Find the Derivative - d/d@VAR	h(x)=((cos(x))/(1+sin(x)))^4	$h (x) = {(\frac{\cos (x)}{1 + \sin (x)})}^{4}$
41630	Find the Derivative - d/d@VAR	h(x)=((2x+3)^4)/((x-5)^5)	$h (x) = \frac{{(2 x + 3)}^{4}}{{(x - 5)}^{5}}$
41631	Find the Derivative - d/d@VAR	h(x)=(ax^5+b)/c	$h (x) = \frac{a x^{5} + b}{c}$
41632	Find the Derivative - d/d@VAR	h(t)=t^2(3t+6)^3	$h (t) = t^{2} {(3 t + 6)}^{3}$
41633	Find the Derivative - d/d@VAR	h(t)=t^2+4	$h (t) = t^{2} + 4$
41634	Find the Derivative - d/d@VAR	h(t)=t^3+2e^t	$h (t) = t^{3} + 2 e^{t}$
41635	Find the Derivative - d/d@VAR	h(t)=t^4-12t^3+3t^2-8t-14	$h (t) = t^{4} - 12 t^{3} + 3 t^{2} - 8 t - 14$
41636	Find the Derivative - d/d@VAR	h(t)=t^4-4t^3+4t^2-5t-12	$h (t) = t^{4} - 4 t^{3} + 4 t^{2} - 5 t - 12$
41637	Find the Derivative - d/d@VAR	h(t)=t^4-8t^3+10t^2-8t-6	$h (t) = t^{4} - 8 t^{3} + 10 t^{2} - 8 t - 6$
41638	Find the Derivative - d/d@VAR	h(t)=(t+2)/(t^2+5t+6)	$h (t) = \frac{t + 2}{t^{2} + 5 t + 6}$
41639	Find the Derivative - d/d@VAR	g(y) = natural log of (2y+1)^5	$g (y) = \ln ({(2 y + 1)}^{5})$
41640	Find the Derivative - d/d@VAR	h(x)=(x^4+x^2)^10	$h (x) = {(x^{4} + x^{2})}^{10}$
41641	Find the Derivative - d/d@VAR	f(x)=-3+3e^(2x)	$f (x) = - 3 + 3 e^{2 x}$
41642	Find the Derivative - d/d@VAR	f(x)=3+3x+1/2x^2+5/6x^3+1/24x^4+1/120x^5	$f (x) = 3 + 3 x + \frac{1}{2} x^{2} + \frac{5}{6} x^{3} + \frac{1}{24} x^{4} + \frac{1}{120} x^{5}$
41643	Find the Derivative - d/d@VAR	f(x)=-3+588x^2	$f (x) = - 3 + 588 x^{2}$
41644	Find the Derivative - d/d@VAR	f(x)=-30(3x-6)^-2	$f (x) = - 30 {(3 x - 6)}^{- 2}$
41645	Find the Derivative - d/d@VAR	f(x)=30(65+5t)^2-1300t	$f (x) = 30 {(65 + 5 t)}^{2} - 1300 t$
41646	Find the Derivative - d/d@VAR	f(x)=30-1/20x	$f (x) = 30 - \frac{1}{20} x$
41647	Find the Derivative - d/d@VAR	f(x)=-30e^x+1/x	$f (x) = - 30 e^{x} + \frac{1}{x}$
41648	Find the Derivative - d/d@VAR	f(x)=30x^2+270/x	$f (x) = 30 x^{2} + \frac{270}{x}$
41649	Find the Derivative - d/d@VAR	f(x)=30x^3-24x^2+6x+1	$f (x) = 30 x^{3} - 24 x^{2} + 6 x + 1$
41650	Find the Derivative - d/d@VAR	f(x)=30+10e^(-0) , 5x	$f (x) = 30 + 10 e^{- 0}$ , $5 x$
41651	Find the Derivative - d/d@VAR	f(x)=300000e^(-0.09x+( square root of x)/2)	$f (x) = 300000 e^{- 0.09 x + \frac{\sqrt{x}}{2}}$
41652	Find the Derivative - d/d@VAR	f(x)=3000-10p	$f (x) = 3000 - 10 p$
41653	Find the Derivative - d/d@VAR	f(x)=3000x-5/2x^2	$f (x) = 3000 x - \frac{5}{2} x^{2}$
41654	Find the Derivative - d/d@VAR	f(x)=300-11x^2+3	$f (x) = 300 - 11 x^{2} + 3$
41655	Find the Derivative - d/d@VAR	f(x)=300-x-(3x)/(x+2)	$f (x) = 300 - x - \frac{3 x}{x + 2}$
41656	Find the Derivative - d/d@VAR	f(x)=-30p+3500	$f (x) = - 30 p + 3500$
41657	Find the Derivative - d/d@VAR	f(x)=30x-x^2	$f (x) = 30 x - x^{2}$
41658	Find the Derivative - d/d@VAR	f(x)=30x+75x^2-x^4	$f (x) = 30 x + 75 x^{2} - x^{4}$
41659	Find the Derivative - d/d@VAR	f(x)=3-2x^3	$f (x) = 3 - 2 x^{3}$
41660	Find the Derivative - d/d@VAR	f(x)=3x	$f (x) = 3 x$
41661	Find the Derivative - d/d@VAR	f(x)=32+14t-t^2	$f (x) = 32 + 14 t - t^{2}$
41662	Find the Derivative - d/d@VAR	f(x)=32000+2033 square root of x-1/(8x^2)	$f (x) = 32000 + 2033 \sqrt{x} - \frac{1}{8 x^{2}}$
41663	Find the Derivative - d/d@VAR	f(x)=3-2x	$f (x) = 3 - 2 x$
41664	Find the Derivative - d/d@VAR	f(x)=32x-32 natural log of x^2	$f (x) = 32 x - 32 \ln (x^{2})$
41665	Find the Derivative - d/d@VAR	f(x)=33(10 square root of v-v+10.35)	$f (x) = 33 (10 \sqrt{v} - v + 10.35)$
41666	Find the Derivative - d/d@VAR	f(x)=34.4x^0.1	$f (x) = 34.4 x^{0.1}$
41667	Find the Derivative - d/d@VAR	f(x)=3-4x+2/x	$f (x) = 3 - 4 x + \frac{2}{x}$
41668	Find the Derivative - d/d@VAR	f(x)=36	$f (x) = 36$
41669	Find the Derivative - d/d@VAR	f(x)=-36(x+4)^2(2x-3)+18(2x-3)^2(x+4)	$f (x) = - 36 {(x + 4)}^{2} (2 x - 3) + 18 {(2 x - 3)}^{2} (x + 4)$
41670	Find the Derivative - d/d@VAR	f(x)=36e^(1/2x)	$f (x) = 36 e^{\frac{1}{2} x}$
41671	Find the Derivative - d/d@VAR	f(x)=36 cube root of (x-1)^2	$f (x) = 36 \sqrt[3]{{(x - 1)}^{2}}$
41672	Find the Derivative - d/d@VAR	f(x)=36x^2	$f (x) = 36 x^{2}$
41673	Find the Derivative - d/d@VAR	f(x)=36-x^2	$f (x) = 36 - x^{2}$
41674	Find the Derivative - d/d@VAR	f(x)=360	$f (x) = 360$
41675	Find the Derivative - d/d@VAR	f(x)=3x^4y+5xy^3	$f (x) = 3 x^{4} y + 5 x y^{3}$
41676	Find the Derivative - d/d@VAR	f(x)=3x^5(x^4-3)	$f (x) = 3 x^{5} (x^{4} - 3)$
41677	Find the Derivative - d/d@VAR	f(x)=3x^5+2x^3+5x	$f (x) = 3 x^{5} + 2 x^{3} + 5 x$
41678	Find the Derivative - d/d@VAR	f(x)=-3x^5+25x^4+240x^3-45x	$f (x) = - 3 x^{5} + 25 x^{4} + 240 x^{3} - 45 x$
41679	Find the Derivative - d/d@VAR	f(x)=3x^5-10x^3+2	$f (x) = 3 x^{5} - 10 x^{3} + 2$
41680	Find the Derivative - d/d@VAR	f(x)=3x^5-20x^3+50x	$f (x) = 3 x^{5} - 20 x^{3} + 50 x$
41681	Find the Derivative - d/d@VAR	f(x)=3x^5-25x^4+1lx-17	$f (x) = 3 x^{5} - 25 x^{4} + 1 l x - 17$
41682	Find the Derivative - d/d@VAR	f(x)=3x^5-5x^3+4	$f (x) = 3 x^{5} - 5 x^{3} + 4$
41683	Find the Derivative - d/d@VAR	f(x)=3x^5-5x^4-1	$f (x) = 3 x^{5} - 5 x^{4} - 1$
41684	Find the Derivative - d/d@VAR	f(x)=3x^6	$f (x) = 3 x^{6}$
41685	Find the Derivative - d/d@VAR	f(x)=3x^-7	$f (x) = 3 x^{- 7}$
41686	Find the Derivative - d/d@VAR	f(x)=3x^7-2cos(x)	$f (x) = 3 x^{7} - 2 \cos (x)$
41687	Find the Derivative - d/d@VAR	f(x)=3x^9-6cos(x)	$f (x) = 3 x^{9} - 6 \cos (x)$
41688	Find the Derivative - d/d@VAR	f(x)=3x^9-8cos(x)	$f (x) = 3 x^{9} - 8 \cos (x)$
41689	Find the Derivative - d/d@VAR	f(x)=3x^3+2sec(x)	$f (x) = 3 x^{3} + 2 \sec (x)$
41690	Find the Derivative - d/d@VAR	f(x)=3x^3+3x^2-36	$f (x) = 3 x^{3} + 3 x^{2} - 36$
41691	Find the Derivative - d/d@VAR	f(x)=-3x^3+450x^2-21 , 600x+1 , 100	$f (x) = - 3 x^{3} + 450 x^{2} - 21$ , $600 x + 1$ , $100$
41692	Find the Derivative - d/d@VAR	f(x)=-3x^3+6x^2-4x-5	$f (x) = - 3 x^{3} + 6 x^{2} - 4 x - 5$
41693	Find the Derivative - d/d@VAR	f(x)=3x^3+8x	$f (x) = 3 x^{3} + 8 x$
41694	Find the Derivative - d/d@VAR	f(x)=-3x^3+9x^2+167x-4	$f (x) = - 3 x^{3} + 9 x^{2} + 167 x - 4$
41695	Find the Derivative - d/d@VAR	f(x)=-3x^3+9x^2+27x	$f (x) = - 3 x^{3} + 9 x^{2} + 27 x$
41696	Find the Derivative - d/d@VAR	f(x)=3x^3+9x-9/(x^2)	$f (x) = 3 x^{3} + 9 x - \frac{9}{x^{2}}$
41697	Find the Derivative - d/d@VAR	f(x)=3x^3-14x-8/(x^5)	$f (x) = 3 x^{3} - 14 x - \frac{8}{x^{5}}$
41698	Find the Derivative - d/d@VAR	f(x)=3x^3-2	$f (x) = 3 x^{3} - 2$
41699	Find the Derivative - d/d@VAR	f(x)=3x^3-2x^2+6	$f (x) = 3 x^{3} - 2 x^{2} + 6$
41700	Find the Derivative - d/d@VAR	f(x)=3x^3-24x^2+14x+6	$f (x) = 3 x^{3} - 24 x^{2} + 14 x + 6$