# How do you find the derivative of #u=sin(e^t)#?

##### 1 Answer

#### Explanation:

This is an example of a composed function, i.e. take two function

There is a rule to differentiate such functions: first of all, derive the outer function, keeping the inner function as argument. Then, multiply by the derivative of the inner function. In formulas:

In your case,

So, since

And since

So, the expression becomes

Now, instead of the usual notation