Question

How do you find the slope of the graph `g(t)=2+3cost` at (pi,-1)?

Answer 1

See explanation.

Explanation:

To find a slope of a graph at a specified point you have to calculate the value of first derivative at this point.

If `g(t)=2+3cost` then:

`g'(t)=3*(-sint)=-3sint`

Now at the point `x_0=pi` the derivative is:

`g'(pi)=-3sinpi=-3*0=0`

The slope of the graph at `(pi,-1)` is `0`.