Q.8-let f:(-1,1) r be a differentiable function. which of the following is necessarily true? (a) iff' o) > 0, then f(a) >f0) for all x€ (0.1) (b) iffc0) <0, the

Q.8-Let f:(-1,1) R be a differentiable function. Which of the following is necessarily TRUE? (a) Iff' o) > 0, then f(a) >f0) for all x€ (0.1) (b) IffC0) <0, then f(x) < f) for all x E (0,6) for some 6 >0 (c) If f" (0) =0, then f(x) = f0) for all x E (-8, 0) for some 8 >0 (d) Iff'(0) >0, then f(O) > 0

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