# How do you differentiate #f(x)=1/3(2x^3-4)# using the product rule?

##### 1 Answer

Sep 4, 2016

#### Answer:

#### Explanation:

The product rule is not required here as there is not a product of 2 functions.

The

#color(blue)"product rule"# is used in the following situation.

#f(x)=g(x).h(x)# here

#f(x)=2/3x^3-4/3" distribute the bracket"# now differentiate using the

#color(blue)"power rule"# That is

#color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(ax^n)=nax^(n-1)" and " d/dx("constant")=0)color(white)(a/a)|)))#

#rArrf'(x)=(3xx2/3)x^2-0=2x^2#