Calculus
Intermediate

Derivative of Cosine

Derivative of the cosine function.

Formula

ddxcos⁡x=−sin⁡x\frac{d}{dx}\cos x = -\sin x

Variables

xVariable

Example

The slope of cos x at x = 0 is −sin 0 = 0 (a peak).

Did You Know?

Sine and cosine chase each other forever under differentiation, describing all oscillating motion.

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