Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: `f(x)=cosx` ,`0 < x < pi`

Explanation

Given function is `f(x)=cosx`,`0 < x < pi`
we have to Find the points of local maxima or local minima.
so here we have to find these by using the first derivative test.
so,`f^'(x)=- sinx `
by using the first derivative test `f^'(x)=0`
so,`- sinx = 0`
`=>x=0,pi`
but these points are not included because points are outside the given interval.
Hence no local minima or local maxima exist.