Solveeit Logo

Question

Question: The maximum value of <img src="https://cdn.pureessence.tech/canvas_454.png?top_left_x=986&top_left_y...

The maximum value of is –

A

e

B

e(1.e)

C

1

D

) None

Answer

e(1.e)

Explanation

Solution

z = log y = 2x2 log (1/x)

z = – 2x2 logx

= –2[x + logx 2x]

= –2x (1 + 2 log x)

maximum value y = = e1/e