+2 votes
in JEE by kratos

The maximum value of x4e-x^2 is

(A) e2

(B) e-2

(C) 12e-2

(D) 4e-2

1 Answer

+2 votes
by kratos
 
Best answer

Answer is (D) 4e-2

We have

For maximum value

which is negative. Hence, f(x) is maximum at x = √2 and therefore the maximum value is 4e-2.

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