Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40401	Find the Derivative - d/d@VAR	f(x)=sin(2x)sin(3x)	$f (x) = \sin (2 x) \sin (3 x)$
40402	Find the Derivative - d/d@VAR	f(x)=sin(2x+1)	$f (x) = \sin (2 x + 1)$
40403	Find the Derivative - d/d@VAR	f(x)=sin(3x^2+7)	$f (x) = \sin (3 x^{2} + 7)$
40404	Find the Derivative - d/d@VAR	f(x)=sin(3 natural log of x)	$f (x) = \sin (3 \ln (x))$
40405	Find the Derivative - d/d@VAR	f(x)=2 square root of x	$f (x) = 2 \sqrt{x}$
40406	Find the Derivative - d/d@VAR	f(x)=sin(3x)*sin(x)	$f (x) = \sin (3 x) \cdot \sin (x)$
40407	Find the Derivative - d/d@VAR	f(x)=sin(4x^3+2x+1)	$f (x) = \sin (4 x^{3} + 2 x + 1)$
40408	Find the Derivative - d/d@VAR	f(x)=sin(4x)	$f (x) = \sin (4 x)$
40409	Find the Derivative - d/d@VAR	f(x)=sin(4x)+sin(0)	$f (x) = \sin (4 x) + \sin (0)$
40410	Find the Derivative - d/d@VAR	f(x)=sin(4x)-cos(4x)	$f (x) = \sin (4 x) - \cos (4 x)$
40411	Find the Derivative - d/d@VAR	f(x)=sin(5 natural log of x)	$f (x) = \sin (5 \ln (x))$
40412	Find the Derivative - d/d@VAR	f(x)=sin(5x)	$f (x) = \sin (5 x)$
40413	Find the Derivative - d/d@VAR	f(x)=sin(2)csc(2)	$f (x) = \sin (2) \csc (2)$
40414	Find the Derivative - d/d@VAR	f(x)=sin(pix^2)	$f (x) = \sin (π x^{2})$
40415	Find the Derivative - d/d@VAR	f(x)=sin( square root of ax+b)	$f (x) = \sin (\sqrt{a x + b})$
40416	Find the Derivative - d/d@VAR	f(x)=sin( cube root of x)	$f (x) = \sin (\sqrt[3]{x})$
40417	Find the Derivative - d/d@VAR	f(x)=sin( cube root of x)- cube root of cos(x)	$f (x) = \sin (\sqrt[3]{x}) - \sqrt[3]{\cos (x)}$
40418	Find the Derivative - d/d@VAR	f(x)=sin( fourth root of x)	$f (x) = \sin (\sqrt[4]{x})$
40419	Find the Derivative - d/d@VAR	f(x)=sin(2x)+4cos(3x)-7tan(5x)	$f (x) = \sin (2 x) + 4 \cos (3 x) - 7 \tan (5 x)$
40420	Find the Derivative - d/d@VAR	f(x)=sin(2x)-3cos(3x)	$f (x) = \sin (2 x) - 3 \cos (3 x)$
40421	Find the Derivative - d/d@VAR	f(x)=sin(2piix)	$f (x) = \sin (2 π i x)$
40422	Find the Derivative - d/d@VAR	f(x)=sin(8x)*sin(9x)	$f (x) = \sin (8 x) \cdot \sin (9 x)$
40423	Find the Derivative - d/d@VAR	f(x)=sin(8x+7pi)	$f (x) = \sin (8 x + 7 π)$
40424	Find the Derivative - d/d@VAR	f(x)=sin(x-5)	$f (x) = \sin (x - 5)$
40425	Find the Derivative - d/d@VAR	f(x)=t	$f (x) = t$
40426	Find the Derivative - d/d@VAR	f(x)=t(8-15 cube root of t)	$f (x) = t (8 - 15 \sqrt[3]{t})$
40427	Find the Derivative - d/d@VAR	f(x)=t( natural log of 10t)^2	$f (x) = t {(\ln (10) t)}^{2}$
40428	Find the Derivative - d/d@VAR	f(x)=t-4 square root of t+1	$f (x) = t - 4 \sqrt{t + 1}$
40429	Find the Derivative - d/d@VAR	f(x)=t-9	$f (x) = t - 9$
40430	Find the Derivative - d/d@VAR	f(x)=tan(e^(x^2))	$f (x) = \tan (e^{x^{2}})$
40431	Find the Derivative - d/d@VAR	f(x)=tan(e^x)	$f (x) = \tan (e^{x})$
40432	Find the Derivative - d/d@VAR	f(x)=tan(x^2-16)	$f (x) = \tan (x^{2} - 16)$
40433	Find the Derivative - d/d@VAR	f(x)=tan(x^6-3x+5)	$f (x) = \tan (x^{6} - 3 x + 5)$
40434	Find the Derivative - d/d@VAR	f(x)=tan(3x)+3xsec(3x)^3	$f (x) = \tan (3 x) + 3 x \sec^{3} (3 x)$
40435	Find the Derivative - d/d@VAR	f(x)=tan(4x^2)	$f (x) = \tan (4 x^{2})$
40436	Find the Derivative - d/d@VAR	f(x)=tan(5x^2)	$f (x) = \tan (5 x^{2})$
40437	Find the Derivative - d/d@VAR	f(x)=tan(5x-1)	$f (x) = \tan (5 x - 1)$
40438	Find the Derivative - d/d@VAR	f(x)=tan(cos(x))	$f (x) = \tan (\cos (x))$
40439	Find the Derivative - d/d@VAR	f(x)=tan(pix)	$f (x) = \tan (π x)$
40440	Find the Derivative - d/d@VAR	f(x)=sin(x)-tan(x)+x^2+1/(x^2)-1/( square root of x)	$f (x) = \sin (x) - \tan (x) + x^{2} + \frac{1}{x^{2}} - \frac{1}{\sqrt{x}}$
40441	Find the Derivative - d/d@VAR	f(x)=sin(x-pi/2)	$f (x) = \sin (x - \frac{π}{2})$
40442	Find the Derivative - d/d@VAR	f(x)=sin(x+pi/4)	$f (x) = \sin (x + \frac{π}{4})$
40443	Find the Derivative - d/d@VAR	f(x)=sin(x+pi/4)+k	$f (x) = \sin (x + \frac{π}{4}) + k$
40444	Find the Derivative - d/d@VAR	f(x)=sin(x) natural log of 7x	$f (x) = \sin (x) \ln (7 x)$
40445	Find the Derivative - d/d@VAR	f(x)=sin(x)sin(x)	$f (x) = \sin (x) \sin (x)$
40446	Find the Derivative - d/d@VAR	f(x) = square root of 13x	$f (x) = \sqrt{13 x}$
40447	Find the Derivative - d/d@VAR	f(x) = square root of 25.2	$f (x) = \sqrt{25.2}$
40448	Find the Derivative - d/d@VAR	f(x) = square root of sin(2x^2-1)	$f (x) = \sqrt{\sin (2 x^{2} - 1)}$
40449	Find the Derivative - d/d@VAR	F(x)=tan(2.3pi)	$F (x) = \tan (2.3 π)$
40450	Find the Derivative - d/d@VAR	f(x)=tan(2x-x^3)	$f (x) = \tan (2 x - x^{3})$
40451	Find the Derivative - d/d@VAR	f(x)=tan(3)(5x)	$f (x) = \tan (3) (5 x)$
40452	Find the Derivative - d/d@VAR	f(x)=tan(3x^2)	$f (x) = \tan (3 x^{2})$
40453	Find the Derivative - d/d@VAR	f(x)=tan(x)(-pi/4,-1)	$f (x) = \tan (x) (- \frac{π}{4}, - 1)$
40454	Find the Derivative - d/d@VAR	f(x)=tan(x)*cot(x)	$f (x) = \tan (x) \cdot \cot (x)$
40455	Find the Derivative - d/d@VAR	f(x)=tan(x)-3/( square root of x^9)	$f (x) = \tan (x) - \frac{3}{\sqrt{x^{9}}}$
40456	Find the Derivative - d/d@VAR	f(x)=tan(x)-x^3cos(x)	$f (x) = \tan (x) - x^{3} \cos (x)$
40457	Find the Derivative - d/d@VAR	f(x)=tan(x)+5csc(x)	$f (x) = \tan (x) + 5 \csc (x)$
40458	Find the Derivative - d/d@VAR	f(x)=tan(x)cot(x)	$f (x) = \tan (x) \cot (x)$
40459	Find the Derivative - d/d@VAR	f(x)=tan(x)-cot(x)	$f (x) = \tan (x) - \cot (x)$
40460	Find the Derivative - d/d@VAR	f(x)=tan(x) log of x	$f (x) = \tan (x) \log (x)$
40461	Find the Derivative - d/d@VAR	f(x)=tan(x+pi)	$f (x) = \tan (x + π)$
40462	Find the Derivative - d/d@VAR	f(x)=tan(xcos(x))	$f (x) = \tan (x \cos (x))$
40463	Find the Derivative - d/d@VAR	f(x)=tan(z)	$f (x) = \tan (z)$
40464	Find the Derivative - d/d@VAR	f(x)=vsin(4x)^4	$f (x) = v \sin^{4} (4 x)$
40465	Find the Derivative - d/d@VAR	f(x) = square root of a^2+b^2	$f (x) = \sqrt{a^{2} + b^{2}}$
40466	Find the Derivative - d/d@VAR	f(x)=arcsec(x+1)	$f (x) = arcsec (x + 1)$
40467	Find the Derivative - d/d@VAR	f(x)=arcsin(t^3)	$f (x) = \arcsin (t^{3})$
40468	Find the Derivative - d/d@VAR	F(x)=arcsin( square root of sin(11x))	$F (x) = \arcsin (\sqrt{\sin (11 x)})$
40469	Find the Derivative - d/d@VAR	F(x)=arcsin( square root of sin(x))	$F (x) = \arcsin (\sqrt{\sin (x)})$
40470	Find the Derivative - d/d@VAR	f(x)=arcsin( square root of x)	$f (x) = \arcsin (\sqrt{x})$
40471	Find the Derivative - d/d@VAR	f(x)=arcsin(x/( square root of 1+x^2))	$f (x) = \arcsin (\frac{x}{\sqrt{1 + x^{2}}})$
40472	Find the Derivative - d/d@VAR	f(x)=arcsin(x^3+3)	$f (x) = \arcsin (x^{3} + 3)$
40473	Find the Derivative - d/d@VAR	f(x)=arcsin(1-2x^2)	$f (x) = \arcsin (1 - 2 x^{2})$
40474	Find the Derivative - d/d@VAR	f(x)=arcsin(3x)+arccos(3x)	$f (x) = \arcsin (3 x) + \arccos (3 x)$
40475	Find the Derivative - d/d@VAR	f(x)=arcsin(4t)	$f (x) = \arcsin (4 t)$
40476	Find the Derivative - d/d@VAR	f(x)=arcsin(4x)+arccos(4x)	$f (x) = \arcsin (4 x) + \arccos (4 x)$
40477	Find the Derivative - d/d@VAR	f(x)=arcsin(5x)	$f (x) = \arcsin (5 x)$
40478	Find the Derivative - d/d@VAR	f(x)=arcsin(6x)+arccos(6x)	$f (x) = \arcsin (6 x) + \arccos (6 x)$
40479	Find the Derivative - d/d@VAR	f(x)=arcsin(8x)	$f (x) = \arcsin (8 x)$
40480	Find the Derivative - d/d@VAR	f(x)=arcsin(8x+1)	$f (x) = \arcsin (8 x + 1)$
40481	Find the Derivative - d/d@VAR	f(x)=arcsin(9x)+arccos(9x)	$f (x) = \arcsin (9 x) + \arccos (9 x)$
40482	Find the Derivative - d/d@VAR	f(x)=arcsin(t)+3t^6+6	$f (x) = \arcsin (t) + 3 t^{6} + 6$
40483	Find the Derivative - d/d@VAR	f(x)=a(x+k)^(1/n)+m	$f (x) = a {(x + k)}^{\frac{1}{n}} + m$
40484	Find the Derivative - d/d@VAR	f(x)=a+bx	$f (x) = a + b x$
40485	Find the Derivative - d/d@VAR	f(x)=-arccos(5x^2)	$f (x) = - \arccos (5 x^{2})$
40486	Find the Derivative - d/d@VAR	f(x)=arccos(x)	$f (x) = \arccos (x)$
40487	Find the Derivative - d/d@VAR	f(x)=arccot( square root of 3x)	$f (x) = arccot (\sqrt{3 x})$
40488	Find the Derivative - d/d@VAR	f(x)=arccot(6x)	$f (x) = arccot (6 x)$
40489	Find the Derivative - d/d@VAR	f(x)=arccot(7x^3-2x+1)	$f (x) = arccot (7 x^{3} - 2 x + 1)$
40490	Find the Derivative - d/d@VAR	f(x)=arccot(x)+arccot(1/x)	$f (x) = arccot (x) + arccot (\frac{1}{x})$
40491	Find the Derivative - d/d@VAR	f(x)=arccsc(x^2)	$f (x) = arccsc (x^{2})$
40492	Find the Derivative - d/d@VAR	f(x)=arcsec( square root of x+1)	$f (x) = arcsec (\sqrt{x + 1})$
40493	Find the Derivative - d/d@VAR	f(x)=arcsec(x/2)	$f (x) = arcsec (\frac{x}{2})$
40494	Find the Derivative - d/d@VAR	f(x)=arcsec(10x)	$f (x) = arcsec (10 x)$
40495	Find the Derivative - d/d@VAR	f(x)=arcsec(8x)	$f (x) = arcsec (8 x)$
40496	Find the Derivative - d/d@VAR	f(x)=arcsin(x)+arccos(x)	$f (x) = \arcsin (x) + \arccos (x)$
40497	Find the Derivative - d/d@VAR	f(x)=arcsin(x+1)	$f (x) = \arcsin (x + 1)$
40498	Find the Derivative - d/d@VAR	f(x)=arcsin(y-y)	$f (x) = \arcsin (y - y)$
40499	Find the Derivative - d/d@VAR	f(x)=9x+7x^2y^2-4y^2	$f (x) = 9 x + 7 x^{2} y^{2} - 4 y^{2}$
40500	Find the Derivative - d/d@VAR	f(x)=9x-18cos(x)	$f (x) = 9 x - 18 \cos (x)$