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Justification using first derivative

Google Classroom

The differentiable function f and its derivative f, prime are graphed.

What is an appropriate calculus-based justification for the fact that f has a relative maximum point at x, equals, c?

(Choice A)
f, left parenthesis, c, right parenthesis is the highest point in that part of the graph.
(Choice B)
f, prime crosses the x-axis from above it to below it at x, equals, c.
(Choice C)
f, prime, left parenthesis, c, right parenthesis, equals, 0

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