Assume f(x) is differentiable at e. Prove that if f′(x)<0, then f(e−k)>f(e)>f(e+k) for all positive k sufficiently small.
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Lesson Parent:
Problem:
Assume f(x) is differentiable at e. Prove that if f′(x)<0, then f(e−k)>f(e)>f(e+k) for all positive k below some sufficiently small value.
Answer:
It is true that if f′(x)<0, then f(e−k)>f(e)>f(e+k) for all positive k below some sufficiently small value.
