# How do you differentiate #f(x)= (2 x^2 + 7 x - 2)/ (x cos x )# using the quotient rule?

##### 2 Answers

See below.

#### Explanation:

This will also require a use of the product rule for the function in the denominator.

The quotient rule states that for some function

Using that idea we are going to need to find

Substituting into the rule, the derivative is equal to:

You can then simplify as required.

#### Explanation:

The given equation is

We use the formula for derivative of rational expression

We simplify at this point

God bless....I hope the explanation is useful.