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Show that f(x)=cosx is decreasing functi...

Show that `f(x)=cosx` is decreasing function on `(0,pi),` increasing in `(-pi,0)` and neither increasing nor decreasing in `(-pi,pi)dot`

Text Solution

Verified by Experts

`f(x)=cos x`
Domain of `cos x is (-pi, pi).`
`Rightarrow f^{prime}(x)=-sin x`
For `x in(-pi, 0), sin x<0`
` Rightarrow-sin x>0 `
` ...
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