# What is the second derivative of #f(x)= 8/x-2x^3#?

##### 1 Answer

May 26, 2018

#### Explanation:

#"differentiate using the "color(blue)"power rule"#

#•color(white)(x)d/dx(ax^n)=nax^(n-1)#

#f(x)=8/x-2x^3=8x^-1-2x^3#

#f'(x)=-8x^-2-6x^2#

#f''(x)=16x^-3-12x=16/x^3-12x#