Need help with this problem only with derivatives. Thank you.

(10) f(z) = 1. (11) Does the function f(x) = 3x2 + 5x - 2, defined for x E [-1, 1), satisfy the hypotheses of the Mean Value Theorem? Find x = c such that f'(c) is the slope of the secant line passing through (-1, f(-1)), and (1, f(1))