Application of Derivatives

Question

Show that the function f (x) = x7 + 8 x5 + 1 is increasing function for all values of x.

Answer

Here f (x) = x7 + 8 x5 + 1
∴    f ' (x) = 7x6 + 40 x4 ≥ 0 ∀ x
∴    f (x) is increasing function for all values of x.

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