True or False Questions - Calculus
State, with explanation, if the following statements are True or False.
- If f’(5) = 1.8 and g’(5) = 4.2 then f(x) + g(x) has slope 6 at x = 5
- It is possible for y = f(x) to have an inflection point at (a, f(a)) even if f’(a) is not defined
- For all functions f, if f’(x) exists ∀x, then f “(x) exists ∀x