Question

(i) f(x) = cos x in 0 < x < π
find local maximum and local minimum values
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Answer 1

Step-by-step explanation:

for local minima or maxima

$\binom{dy}{dx} = 0$

-sinx = 0

thus sinx= 0

sinx is zero at x=0 and x= 180

Answer 2

Step-by-step explanation:

First we differentiate ,

f(x)= cosx, 0<x<π

f'(x)=-sinx ,0<x<π

for local maximum &. local minimum,

f'(x)=0

=> - sinx = 0

=> x = 0, π

But, these two points doesn't lie inside the given interval 0< x < π.

Hence no local maximum and local minimum in 0 < x < π.

I hope ,It was helpful