# How do you differentiate #f(x)=cos(sqrt((cosx^2))) # using the chain rule?

##### 2 Answers

#### Explanation:

Use progressively the chain rule which says :

so,

because

Therefore;

Finally,

because

#### Explanation:

I'll be using Leibniz notation because I think it's easier to understand more complicated chain rule applications with this.

The chain rule, in said notation goes as follows,

For

Or, if we can say that a function

In this case we have

By saying

Or

Now, if we say that

Or

If we say

Or

Or, finally

And now we subsitute everything back to terms of