Chapter 2: Differentiation
Section 2.7: Derivatives of the Trig Functions
Example 2.7.3
Evaluate .
Solution
Control-drag the differentiation problem. Press the Enter key.
Context Panel: Simplify≻Simplify
Context Panel: Expand≻Expand
(At one time, Maple's Smart Pop-Up applied to sufficed to convert the derivative into the form obtained in Table 2.7.3(a). At the present time, further progress towards this goal requires the application of commands.)
The Maple derivative for is , and not the equivalent . Fortunately, Maple simplifies to . The stepwise evaluation of the derivative in Table 2.7.3(a) starts with the Product rule, but uses the Chain rule to differentiate one of the factors.
Table 2.7.3(a) Stepwise evaluation of the derivative of
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