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Control-drag the differentiation problem.
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Context Panel: Evaluate and Display Inline
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Context Panel: Simplify≻Simplify
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Table 2.7.2(a) contains a first stepwise solution in which the Chain rule is initially applied, followed by the Quotient rule. In applying the Quotient rule, the Chain rule must again be invoked.
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Table 2.7.2(a) First solution for the evaluation of
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Table 2.7.2(b) applies the double-angle formulae
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to further simplify the result in Table 2.7.2(a).
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Table 2.7.2(b) Further simplifications of the derivative in Table 2.6.13
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An alternative approach is to begin by first applying the double-angle formula for the sine function. This form of the calculation appears in Table 2.7.2(c).
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Table 2.7.2(c) Differentiation after first applying a trig simplification
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