Generalizing the Product Rule The Derivative Product Rule gives the formula dv du dr dx (uv) = u- dx for the derivative of the product uv of two differentiable functions of x. a. What is the analogous formula for the derivative of the prod- uct uvw of three differentiable functions of x? b. What is the formula for the derivative of the product uj uz uz u4 of four differentiable functions of x? c. What is the formula for the derivative of a product uj Uz uz* Un of a finite number n of differentiable functions of x?

Generalizing the Product Rule The Derivative Product Rule gives the formula dv du dr dx (uv) = u- dx for the derivative of the product uv of two differentiable functions of x. a. What is the analogous formula for the derivative of the prod- uct uvw of three differentiable functions of x? b. What is the formula for the derivative of the product uj uz uz u4 of four differentiable functions of x? c. What is the formula for the derivative of a product uj Uz uz* Un of a finite number n of differentiable functions of x?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 62P: (a) Estimate the density of the Moon. (b) Estimate the diameter of the Moon. (c) Given that the Moon...

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