MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.5 The Product and Quotient and Power Rules, #27 · Calculus · Differentiation rules

A growing box has length …, width …, and height

A growing box has length $t$ , width $1/ (1 + t)$ , and height $cos t$ .
(a) What is the rate of change of the volume?
(b) What is the rate of change of the surface area?

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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, #27

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