Applied derivatives quiz

Five questions on Applied derivatives. Answer all 5 to see your score.

0 of 5 answered

Question 1 of 5

Find all critical numbers of f(x) = x^3 - 12x.

Question 2 of 5

Find the maximum value of f(x) = -2x^2 + 8x + 1.

Question 3 of 5

A gardeners' club has 200 meters of fencing to enclose a rectangular garden along an existing straight wall, using the fence for the other three sides. What is the largest possible area?

Question 4 of 5

Air is pumped into a spherical balloon at a rate of 96*pi cm^3/s. How fast is the radius increasing at the moment the radius is 4 cm? (V = (4/3)pi r^3)

Question 5 of 5

For f(x) = x^3 - 3x^2 + 7, use the second derivative test to classify the critical number x = 2.

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