Application of DerivativeHard

Question

If f(x) = 1 + 2 x² + 4 x⁴ + 6 x⁶ +...... + 100 x¹⁰⁰ is a polynomial in a real variable x, then f(x) has:

Options

A.neither a maximum nor a minimum

B.only one maximum

C.only one minimum

D.one maximum and one minimum

Solution

f′ (x) = (2² + 4²x² + 6²x⁴ +...... + 100² x⁹⁸) x
Minimum at x = 0

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