Question

verify roll's theorem for

f(x)= a^sinx    on [0,pie]

Answer 1

Verify Rolle’s theorem for f(x) = a^sinx on [0,π] 

f(0) = a and f(π) = a 

f’(x) = a^sinx (loga )cosx 

for f’(x) = 0 value of x = π/2 

For Roll's theorem: 

f(0) = f(π) there exist a value c ( 0 < c < π) for which ′(c) = 0 

c = π/2