We let u = 1+cos^2x, the take the derivative. The derivative is du=2(cos(x))(-sin(x))dx. Then it turns into -sin(2x)dx. Can you tell me how this happens? Where did cos go?

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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James Stewart calculus eight edition, chapter 6.2*, question 73. We let u = 1+cos^2x, the take the derivative. The derivative is du=2(cos(x))(-sin(x))dx. Then it turns into -sin(2x)dx. Can you tell me how this happens? Where did cos go?

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