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Question: In (–4, 4) the function f(x) = <img src="https://cdn.pureessence.tech/canvas_24.png?top_left_x=0&top...

In (–4, 4) the function f(x) = e–4t dt has –

A

No extrema

B

One extremum

C

Two exterma

D

) Four exterma

Answer

Two exterma

Explanation

Solution

f'(x) = (x4 – 4)e– 4x .1 = e–4x [(x2 + 2)(x2–2)]

=

f(x) has two point of extremum