Product/Quotient Rule
The derivative of f(x)=
xe^x
xe^x+e^x
The derivative of f(x)=
(3x+1)^5
15(3x+1)^4
The derivative of
x^2+y^2=25
-x/y
The derivative of f(x)=
sin(2x^3)
6x^2\cos(2x^3)
Find the derivative f(x)=
e^(4x^2
8xe^(4x^2)
The derivative of f(x)=
x/(x+1
1/(x+1)^2
The derivative of f(x)=
(4x^3-5x)^6
6(12x^2 - 5)(4x^3 - 5x)^5
The derivative of
2x^3 - 5y = 9
(6x^2)/5
The derivative of f(x)=
tan5x^3
15x^2 \sec^2(5x^3)
The derivative of f(x)=
ln(7x^4)
4/x
The derivative of f(x)=
(x+1)/(x^2-4)
-(x^2+2x+4)/(x^2-4)^2
The derivative of f(x)=
sqrt(x^2+4)
x/sqrt(x^2+4)
The derivative of
x^3+y^3=6y+2
(-x^2)/(y^2-2)
The derivative of f(x)=
sin^3x^5
15x^4 \sin^2(x^5) \cos(x^5)
The derivative of f(x)=
ln^3x
(3ln^2x)/x
The derivative of f(x)=
(x^3(x^2+1))/(x-5)
\frac{4x^5 - 25x^4 + 2x^3 - 15x^2}{(x - 5)^2}
The derivative of f(x)=
sqrt(3x^4-2x^2+7
(6x^3-2x)/(sqrt(3x^4-2x^2+7
The derivative of
2x^5 + cos x + y^5 = 36
(Sinx -10x^4)/(5y^4)
The derivative of f(x)=
(2x^5+ 3)cos x^2
10x^4\cosx^2 - (4x^6 + 6x)\sinx^2
The derivative of f(x)=
e^(sin2x)
2cos(2x)e^(sin2x)
The derivative of f(x)=
\frac{(x^2 - 3)(2x + 5)}{x + 1}
\frac{4x^3 + 11x^2 + 10x + 9}{(x + 1)^2}
The derivative of f(x)=
(1+sqrt(x^2+5))^-3
(-3x)/(sqrt(x^2+5)(1+sqrt(x^2+5))^4
The derivative of
x^3y^5 + 3x = 8y^3 + 1
(-3x^2y^5-3)/(5x^3y^4-24y^2)
The derivative of f(x)=
\frac{-2x^2 - 5}{\cos(2x^3)}
(-2x[2cos(cos2x^3)+3x(2x^2+5)sin(2x^3)])/[cos^2(2x^3)]
The derivative of f(x)=
ln(sqrt(e^(4x)+1))
\frac{2e^{4x}}{e^{4x} + 1}