Let be a polynomial of degree such that ,

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let f(x)f(x) be a polynomial of degree 33 such that f(−1)=10f(-1)=10, f(1)=−6f(1)=-6, f(x)f(x) has a critical point at x=−1x=-1 and f′(x)f'(x) has a critical point at x=1x=1. Then f(x)f(x) has a local minima at x=x=

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