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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
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Theory and ExamplesGeneralizing the Product Rule The

Chapter 3, Problem 75E

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QUESTION:

Problem 75E

Theory and Examples

Generalizing the Product Rule The Derivative Product Rule gives the formula for the derivative of the product uv of two differentiable functions of x.

a. What is the analogous formula for the derivative of the product uvw of three differentiable functions of x?

b. What is the formula for the derivative of the product u1u2u3u4 of four differentiable functions of x?

What is the formula for the derivative of a product u1u2u3……un of a finite number n of differentiable functions of x?

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QUESTION:

Problem 75E

Theory and Examples

Generalizing the Product Rule The Derivative Product Rule gives the formula for the derivative of the product uv of two differentiable functions of x.

a. What is the analogous formula for the derivative of the product uvw of three differentiable functions of x?

b. What is the formula for the derivative of the product u1u2u3u4 of four differentiable functions of x?

What is the formula for the derivative of a product u1u2u3……un of a finite number n of differentiable functions of x?

ANSWER:

Solution:

Step 1 of 5:

The objective of this question, we have to an analogous formula for the derivative of the product rule.

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