Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10601	Find dy/dx	tan(xy)=3x+6y	$\tan (x y) = 3 x + 6 y$
10602	Find dy/dx	tan(xy)=5x+6y	$\tan (x y) = 5 x + 6 y$
10603	Find dy/dx	tan(xy)=6x+2y	$\tan (x y) = 6 x + 2 y$
10604	Find dy/dx	tan(xy)=6x+3y	$\tan (x y) = 6 x + 3 y$
10605	Find dy/dx	x(y+2)^5=9	$x {(y + 2)}^{5} = 9$
10606	Find dy/dx	y=(3x-9)/(2x+4)	$y = \frac{3 x - 9}{2 x + 4}$
10607	Find dy/dx	x square root of y+1=xy+1	$x \sqrt{y + 1} = x y + 1$
10608	Find dy/dx	sin(x+y)=6x-6y	$\sin (x + y) = 6 x - 6 y$
10609	Find dy/dx	sin(xy)=3x+2	$\sin (x y) = 3 x + 2$
10610	Find dy/dx	sin(y)+5x=y^2	$\sin (y) + 5 x = y^{2}$
10611	Find dy/dx	y=(6x^3+5)^(3/2)	$y = {(6 x^{3} + 5)}^{\frac{3}{2}}$
10612	Find dy/dx	y=(x/3.9+3.9/x)(x^2+1)	$y = (\frac{x}{3.9} + \frac{3.9}{x}) (x^{2} + 1)$
10613	Find dy/dx	y=( square root of x-8)/( square root of x+8)	$y = \frac{\sqrt{x} - 8}{\sqrt{x} + 8}$
10614	Find dy/dx	y=(3x+5)^4	$y = {(3 x + 5)}^{4}$
10615	Find dy/dx	y=(7x+9)^4	$y = {(7 x + 9)}^{4}$
10616	Find dy/dx	y=(8+x^5)^4-(6+x^7)^5	$y = {(8 + x^{5})}^{4} - {(6 + x^{7})}^{5}$
10617	Find dy/dx	y=(5x+17)^3	$y = {(5 x + 17)}^{3}$
10618	Find dy/dx	y=(6x+9)^2	$y = {(6 x + 9)}^{2}$
10619	Find dy/dx	y+6xy-9=0	$y + 6 x y - 9 = 0$
10620	Find dy/dx	y=(3x+20)^4	$y = {(3 x + 20)}^{4}$
10621	Find dy/dx	y=(3x+8)^5	$y = {(3 x + 8)}^{5}$
10622	Find dy/dx	y=((x+5)^3)/((x-3)^3)	$y = \frac{{(x + 5)}^{3}}{{(x - 3)}^{3}}$
10623	Find dy/dx	y=(x^2)/( square root of x^2+1)	$y = \frac{x^{2}}{\sqrt{x^{2} + 1}}$
10624	Find dy/dx	y=(e^y)/(1+sin(x))	$y = \frac{e^{y}}{1 + \sin (x)}$
10625	Find dy/dx	y=((x-3)(x^2+3x+9))/(x^3)	$y = \frac{(x - 3) (x^{2} + 3 x + 9)}{x^{3}}$
10626	Find dy/dx	y=(x- natural log of x)^7	$y = {(x - \ln (x))}^{7}$
10627	Find dy/dx	y=1/( square root of 3-2x)	$y = \frac{1}{\sqrt{3 - 2 x}}$
10628	Find dy/dx	y=1/(e^x)	$y = \frac{1}{e^{x}}$
10629	Find dy/dx	y=(x^2+2x-2)/(x^2-2x+2)	$y = \frac{x^{2} + 2 x - 2}{x^{2} - 2 x + 2}$
10630	Find dy/dx	y=(x^7)/7* natural log of x-(x^7)/49	$y = \frac{x^{7}}{7} \cdot \ln (x) - \frac{x^{7}}{49}$
10631	Find dy/dx	y=1/(x^3)	$y = \frac{1}{x^{3}}$
10632	Find dy/dx	y=1/2*sin(pix-pi)+1/2	$y = \frac{1}{2} \cdot \sin (π x - π) + \frac{1}{2}$
10633	Find dy/dx	y=650/( square root of x)	$y = \frac{650}{\sqrt{x}}$
10634	Find dy/dx	y=7/(x^5)-2/x	$y = \frac{7}{x^{5}} - \frac{2}{x}$
10635	Find dy/dx	y=(6x)/5	$y = \frac{6 x}{5}$
10636	Find dy/dx	y=(6x)/7	$y = \frac{6 x}{7}$
10637	Find dy/dx	y=5/(cos(x))+1/(tan(x))	$y = \frac{5}{\cos (x)} + \frac{1}{\tan (x)}$
10638	Find dy/dx	y=(cos(x))/(1+sin(x))	$y = \frac{\cos (x)}{1 + \sin (x)}$
10639	Find dy/dx	y=(cos(x))/(1-sin(x))	$y = \frac{\cos (x)}{1 - \sin (x)}$
10640	Find dy/dx	y=8^x-e^9	$y = 8^{x} - e^{9}$
10641	Find dy/dx	y=(8-sec(x))/(tan(x))	$y = \frac{8 - \sec (x)}{\tan (x)}$
10642	Find dy/dx	y=90/(x^4)	$y = \frac{90}{x^{4}}$
10643	Find dy/dx	y=(7x)/(x-1)	$y = \frac{7 x}{x - 1}$
10644	Find dy/dx	y=(8x)/(3-tan(x))	$y = \frac{8 x}{3 - \tan (x)}$
10645	Find dy/dx	y=(cot(x))/(1+csc(x))	$y = \frac{\cot (x)}{1 + \csc (x)}$
10646	Find dy/dx	y=(7-sec(x))/(tan(x))	$y = \frac{7 - \sec (x)}{\tan (x)}$
10647	Find dy/dx	y=arccos(x-1)	$y = \arccos (x - 1)$
10648	Find dy/dx	y=cos(x)^2	$y = \cos^{2} (x)$
10649	Find dy/dx	y=e^(ax^3)	$y = e^{a x^{3}}$
10650	Find dy/dx	y=e^(x/10)	$y = e^{\frac{x}{10}}$
10651	Find dy/dx	y=e^(x/2)	$y = e^{\frac{x}{2}}$
10652	Find dy/dx	y=arccot( square root of x)	$y = arccot (\sqrt{x})$
10653	Find dy/dx	y=e^( square root of x)	$y = e^{\sqrt{x}}$
10654	Find dy/dx	y=e^xsin(x)^5	$y = e^{x} \sin^{5} (x)$
10655	Evaluate the Integral	integral from -1 to 1 of 3^(2x-1) with respect to x	$\int_{- 1}^{1} 3^{2 x - 1} d x$
10656	Find dy/dx	y=e^(tan(x))	$y = e^{\tan (x)}$
10657	Find dy/dx	y=e^(cos(x))	$y = e^{\cos (x)}$
10658	Find dy/dx	y=e^(-x^2)	$y = e^{- x^{2}}$
10659	Find dy/dx	y=e^(3x)	$y = e^{3 x}$
10660	Find dy/dx	y=e^(3x)+3x	$y = e^{3 x} + 3 x$
10661	Find dy/dx	y=e^(3x)cos(x)	$y = e^{3 x} \cos (x)$
10662	Find dy/dx	y=e^(3xtan(7x))	$y = e^{3 x \tan (7 x)}$
10663	Find dy/dx	y=3^xx^3	$y = 3^{x} x^{3}$
10664	Find dy/dx	y=(3-cos(x))/(6+cos(x))	$y = \frac{3 - \cos (x)}{6 + \cos (x)}$
10665	Find dy/dx	y=(2cos(x))/(1+sin(x))	$y = \frac{2 \cos (x)}{1 + \sin (x)}$
10666	Find dy/dx	y=27/(x^2+2)	$y = \frac{27}{x^{2} + 2}$
10667	Find dy/dx	y=29^x	$y = 29^{x}$
10668	Find dy/dx	y=(3x-4)/(x^3)	$y = \frac{3 x - 4}{x^{3}}$
10669	Find dy/dx	y=(4x)/5	$y = \frac{4 x}{5}$
10670	Find dy/dx	y=5/(x^2)	$y = \frac{5}{x^{2}}$
10671	Find dy/dx	y=19^x	$y = 19^{x}$
10672	Find dy/dx	y=(1-cos(x))/(1+cos(x))	$y = \frac{1 - \cos (x)}{1 + \cos (x)}$
10673	Find dy/dx	y=5/(2x^2)	$y = \frac{5}{2 x^{2}}$
10674	Find dy/dx	y=(4x^5)/5-3x	$y = \frac{4 x^{5}}{5} - 3 x$
10675	Find dy/dx	y=4/x	$y = \frac{4}{x}$
10676	Find dy/dx	y=1/(x-2)	$y = \frac{1}{x - 2}$
10677	Find dy/dx	y=1/6x^6+1/5x^5	$y = \frac{1}{6} x^{6} + \frac{1}{5} x^{5}$
10678	Find dy/dx	y=1/95x^3	$y = \frac{1}{95} x^{3}$
10679	Find dy/dx	y=(2x^2-5x)/3	$y = \frac{2 x^{2} - 5 x}{3}$
10680	Find dy/dx	y=(2x-4y)/(4x-2y)	$y = \frac{2 x - 4 y}{4 x - 2 y}$
10681	Find dx/dy	y=1/(3x^3)+(x^7)/10	$y = \frac{1}{3 x^{3}} + \frac{x^{7}}{10}$
10682	Find dx/dy	y=e^(2 natural log of x)	$y = e^{2 \ln (x)}$
10683	Find dx/dy	y=1/a(x^2+1/bx+c)	$y = \frac{1}{a} \cdot (x^{2} + \frac{1}{b} \cdot x + c)$
10684	Find dx/dy	y=765/( cube root of x)	$y = \frac{765}{\sqrt[3]{x}}$
10685	Find the Derivative - d/d@VAR	f(x)=(x^5-9)/(x^4)	$f (x) = \frac{x^{5} - 9}{x^{4}}$
10686	Find dx/dy	y=5x^4	$y = 5 x^{4}$
10687	Find dx/dz	z=(4-3x)/(3x^2+x)	$z = \frac{4 - 3 x}{3 x^{2} + x}$
10688	Evaluate the Limit	limit as x approaches infinity of square root of x^2+x-x	$lim_{x \to \infty} \sqrt{x^{2} + x} - x$
10689	Evaluate the Limit	limit as x approaches 1 of (24+ square root of x)/( square root of 24+x)	$lim_{x \to 1} \frac{24 + \sqrt{x}}{\sqrt{24 + x}}$
10690	Find dx/dy	y=4-x^2	$y = 4 - x^{2}$
10691	Find dy/dx	15(x^2+y^2)^2=289(x^2-y^2)	$15 {(x^{2} + y^{2})}^{2} = 289 (x^{2} - y^{2})$
10692	Find dy/dt	y=cos( square root of 4t+11)	$y = \cos (\sqrt{4 t + 11})$
10693	Find dy/dt	y=tan( square root of t)	$y = \tan (\sqrt{t})$
10694	Find dy/dt	y = natural log of t^10	$y = \ln (t^{10})$
10695	Find dy/dt	y=tsin(pit)+1/pi*cos(pit)-1/pi	$y = t \sin (π t) + \frac{1}{π} \cdot \cos (π t) - \frac{1}{π}$
10696	Find dy/du	y=u^-1	$y = u^{- 1}$
10697	Find dy/dt	y = natural log of natural log of 2t^3	$y = \ln (\ln (2 t^{3}))$
10698	Find dy/du	y=e^(-u)cos(u)	$y = e^{- u} \cos (u)$
10699	Find dy/dt	y=4sin( square root of 1+ square root of t)	$y = 4 \sin (\sqrt{1 + \sqrt{t}})$
10700	Find dy/dt	y=e^(6tsin(2t))	$y = e^{6 t \sin (2 t)}$