MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.4 The Derivative of the Sine and Cosine, #15 · Calculus · Differentiation rules

Chapter 10 gives an infinite series for …: …\sin x = \frac{x}{1}…

Chapter 10 gives an infinite series for $sin x$ :
$sin x = \frac{x}{1} - \frac{x ^{3}}{3 \cdot 2 \cdot 1} + \frac{x ^{5}}{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1} - \dots .$
From the derivative find the series for $cos x$ . Then take its derivative to get back to $- sin x$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.4 The Derivative of the Sine and Cosine, #15

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