# How do you differentiate #y= 2x^4 - 2x^3 - 8#?

##### 3 Answers

May 31, 2018

#### Explanation:

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

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

#dy/dx=8x^3-6x^2-0=8x^3-6x^2#

May 31, 2018

#### Explanation:

The key to differentiating polynomials is using the **Power Rule**. Here, the coefficient comes out front, and the exponent gets decremented by one. Here's how this looks mathematically:

Also recall that the derivative of a constant is zero. Applying this, we get