# How do you find the derivative of #y = (2x^4 - 3x) / (4x - 1)#?

##### 1 Answer

May 31, 2016

Using the derivative rules we find that the answer is

#### Explanation:

*Derivative rules we need to use here are:*

a. Power rule

b. Constant Rule

c. Sum and difference rule

d. Quotient rule

- Label and derive the numerator and denominator

#f(x)=2x^4-3x#

#g(x)=4x-1#

By applying the Power rule, constant rule, and sum and difference rules, we can derive both of these functions easily:

at this point we will use the Quotient rule which is:

Plug in your items:

From here you can simplify it to:

Thus the derivitive is the simplified answer.