MathGirl

Explain why or why not: 1. if f'(c)=0, then f has a local maximum or minimum at c. 2. if f''(c)=0, then f has an inflection point at c. 3. F'(x)=x^2+10 and G(x)=x^2-100 are antiderivatives of the same function 4. Between two local minima of a function con...

I mistyped #4, it should be: Between two local minima of a function continuous on (-∞,∞), there must be a local MAXIMUM.