MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.5 The Product and Quotient and Power Rules, #30 · Calculus · Differentiation rules

A cylinder has radius … and height

A cylinder has radius $r = \frac{t ^{3/2}}{1 + t ^{3/2}}$ and height $h = \frac{1}{1 + t}$ .
(a) What is the rate of change of its volume?
(b) What is the rate of change of its surface area (including top and base)?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.5 The Product and Quotient and Power Rules, #30

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