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Question

Mathematics Question on types of functions

If the local maximum value of the function f( x )=(3e2sinx)sin2x(\frac{√3e}{2 sin x} )^{ sin^2x} ,x(0,π2) x ∈ ( 0,\frac{π}{2} ), is ke\frac{k}{e}, then (ke)8+k8e5+k8(\frac{k}{e})^8+\frac{k^8}{e^5}+k^8 is equal to

A

e5+e6+e11

B

e3+e6+e10

C

e3+e5+e11

D

e3+e6+e11

Answer

e3+e6+e11

Explanation

Solution

The correct option is(D): e3+e6+e11