Lemma
DeepApplications of derivatives
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.1 Linear Approximation, #25 · Calculus · Applications of derivatives

… if the radius of a sphere changes by

Find the linear change in the volume or in the surface area.

if the radius of a sphere changes by .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.1 Linear Approximation, #25

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