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please show steps by steps so i can understand f (x) = (1/4)x^4-24x^2+1 (a) Find all...

please show steps by steps so i can understand

f (x) = (1/4)x^4-24x^2+1

(a) Find all the open intervals on which f increases/decreases, and determine the relative extrema of f .

(b) Find all the open intervals on which f is concave up (down). Then determine the x- coordinates of all inflection points of f . Provide details with step by step to justify your answers!

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