`g(t) = -2cos(t) + 5, (pi,7)` Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results.

Expert Answers
hkj1385 eNotes educator| Certified Educator

g(t) = -2*cost + 5

slope of the curve = g'(t) = d{g(t)}/dt = 2*sint

Thus, slope at (pi,7)

g'(pi) = 2*sin(pi) =0

Thus, the curve has a tangent parallel to the x-axis(horizontal axis) at (pi,7)