Consider this function y = f(x) on the domain (-∞, ∞). f(x): = :{ 8 x sin()+ 38 if x = 0 38 X if x = 0 (a) If x 0, f'(x) = || ×

Consider the function Suppose that g(6): f'(6) = f(x) = (1 + sin(x))9 (2) - 9 and g'(6) = − 4.

Letf (x) = 3x – 2 – 4x². Find the max/min and using the first derivative test determine if it is a min, a max, or an inflection point. x*=3/8, max Ox*=3/8, min Ox*=8/3, inflection point Ox*=3/8, inflection point ) x*=8/3, max Ox*=8/3, min

Suppose f(x) = sinx, and let k be a real number. Let F(x) = f(xk) and G(x) = [ƒ(x)]k. Find expressions for (a) F'(x) and (b) G'(x). (a) F'(x) = (b) G'(x) =