# What is the slope of the line tangent to the graph of the function #f(x)=ln(sin^2(x+3))# at the point where #x=pi/3#?

##### 1 Answer

Mar 14, 2018

See below.

#### Explanation:

If:

Using this definition with given function:

Differentiating implicitly:

Dividing by

Cancelling common factors:

We now have the derivative and will therefore be able to calculate the gradient at

Plugging in this value:

This is the approximate equation of the line:

GRAPH: