# How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#?

##### 2 Answers

#### Explanation:

The Quotient rle is given by

let us denote by

and

so we get

and

now we Can build the derivative:

multiplying out the numerator and collecting like Terms we get

#### Explanation:

If we have a quotient of functions

In our example, we essentially have

We can plug in our expressions into the Quotient Rule to get

With FOIL and some algebraic distribution, we can simplify this expression to get

Hope this helps!