   Chapter 2.R, Problem 3TFQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If f and g are differentiable, then d d x [ f ( x ) g ( x ) ] = f ' ( x ) g ' ( x )

To determine

To state:

Whether the given statement,"If f and g are differentiable, then ddxfxgx=fxg'(x)+gxf'(x)" is true or false.

Explanation

The product rule states that if f and g both are differentiable, then

ddxfxgx=fxddx[gx]+g(x)ddx[fx

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