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 + 62 x4 +...... + 1002 x98) x
Minimum at x = 0
Minimum at x = 0
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