Chapter 2: Differentiation
Section 2.4: The Chain Rule
Example 2.4.5
Use the Chain rule to obtain the derivative of .
Solution
Control-drag Context Panel: Assign Function
Write
Context Panel: Evaluate and Display Inline
Context Panel: Simplify≻Simplify
=
Stepwise solution
Define as the "outer" function, and as the "inner" function, so that . The Chain rule applies first, but the derivative of , the "inner" function, requires the Quotient rule.
This calculation can be implemented interactively in the tutor.
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