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f(x)=x^{4}/4-x^{3}-5

a) Determine the intervals on which f is concave up and concave down.

f is concave up on:

f is concave down on:

b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an **ordered pair **(that is, in the form (x,y).

(Separate multiple answers by commas.)

c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates.

Relative maxima at: (Separate multiple answers by commas.)

Relative minima at: (Separate multiple answers by commas.)

d) Find the x-value(s) where f′(x) has a relative maximum or minimum.

f′ has relative maxima at: (Separate multiple answers by commas.)

f′ has relative minima at: (Separate multiple answers by commas.)