MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.4 The Derivative of the Sine and Cosine, #16 · Calculus · Differentiation rules

A centered difference for … is … \frac{f(x+h)-f(x-h)}{2h} = \frac{\sin(x+h)-\sin(x-h)}{2h} =

A centered difference for $f (x) = sin x$ is
$\frac{f ( x + h ) - f ( x - h )}{2 h} = \frac{sin ( x + h ) - sin ( x - h )}{2 h} = ?$
Use the addition formula (2). Then let $h \to 0$ .

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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, #16

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