1.

Find the intervals on which f(x) = x4 − 8x2is increasing and decreasing.

Answer» The function f(x) =x4 − 8x2is increasing in the interval (-2, 0)∪ (2,∞), and decreasing in the interval(−∞, −2) ∪(0, 2).

Derivatives have many applications. One of the major applications of derivatives is determining the monotonicity of a given function in a specific interval.



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