Find the intervals in which the function f given by f(x)=sin4x+cos4x, – InterviewSolution

1.	Find the intervals in which the function f given by f(x)=sin4x+cos4x, x∈[0,π/2] is (a) is decreasing (b) is increasing Also, state whether x=π/4 is a point of local minima or local maxima ?
Answer» Find the intervals in which the function $f$ given by $f (x) = {sin}^{4} x + {cos}^{4} x, x \in [0, π / 2]$ is $(a)$ is decreasing $(b)$ is increasing Also, state whether $x = π / 4$ is a point of local minima or local maxima ?

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