Question: Given that B and are some nonzero constants, consider the following function: Y= f ( x ) = x 4 + b x 3 +

Given that B and are some nonzero constants, consider the following function:

Y= f (x ) = x 4 + bx 3+ C

A) calculate f (x). find all stationary points

B) Calculate F (x). find all the inflection points

C) assume that b =1 and C=0. find the quadratic approximation of f (x ) at a=1.

(HINT: refer to formula for quadratic approximation)

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