Question

Find the curvature of the curve y=2-x^3 at P (1,1)

Answer 1

find the 1st derivative f'(x) = -3x^2

next find the 2nd derivative f"(x) = -6x at x = 1 f"(x) = -6 so therefore concave down at P(1,1) since f"(x) <0