Question 1 f is a function whose domain is (0,∞) and whose first derivative is f...

Question 1

f is a function whose domain is (0,∞) and whose first derivative is f ' (x) = (4 − x)x ^-3 for x > 0

a) Find the critical number(s) of f. Does f have a local minimum, a local maximum, or neither at its critical number(s)? Explain.

b) On which interval(s) if f concave up, concave down?

c) At which value(s) of x does f have a point of inflection, if any?

Question 2

A rectangular box with a square base has a surface area of 150 cm² , obtained by adding the areas all six sides of the box. Find the dimensions of the box with the largest possible volume.

Solutions

Expert Solution

We have to eliminate x = 0 because the denominator will also become 0.

milcah answered 1 year ago

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