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

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Answer 1 · 2016-12-14T09:27:47

See 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 $0$ .

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