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Find the intervals in which the function...

Find the intervals in which the function `f` given by `f(x)=sinx+cosx ,\ \ \ \ \ \ \ \ \ \ \ \ \ \ 0lt=x\ lt=2pi` is strictly increasing or strictly decreasing.

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Given,
f(x)=sinx+cosx
Differentiating w.r.t. x, we get
f′(x)=cosx−sinx
...
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