# How do you differentiate #V(x)=(2x^3+3)(x^4-2x)#?

##### 2 Answers

May 29, 2018

#### Explanation:

Using the product rule

we get

Expanding we get

May 29, 2018

#### Explanation:

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

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

#"expand the factors using FOIL"#

#V(x)=2x^7-4x^4+3x^4-6x#

#color(white)(V(x))=2x^7-x^4-6x#

#V'(x)=14x^6-4x^3-6#