# How do you find the derivative of the function #f(w) = ln(sin(w−15))#?

##### 1 Answer

Mar 5, 2018

#### Answer:

#### Explanation:

this is just by using the Chain rule

https://en.wikipedia.org/wiki/Chain_rule

the derivative of the inside function

and the derivative of the outside function

therefore, the derivative of this whole is the derivative of the outside function evaluated at the inside function multiplied by the derivative of the inside function

that is,

that is equal to

which is

and that is equal to

#cot(w-15)#

.