# What is the slope of the polar curve #f(theta) = -theta + sectheta - costheta # at #theta = (5pi)/4#?

##### 1 Answer

The slope,

#### Explanation:

Given:

The reference Tangents to a polar curve gives us the following equation for

Compute the first derivative of equation [1]:

Substitute equation [1] and equation [3] into equation [2]:

Evaluate equation [4] at

Here is the equation of the tangent line:

Here is a graph of the curve, the point of tangency, and the tangent line: