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what is derivative of sin⁡\sin?

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Full solution

Q. what is derivative of sin⁡\sin?
  1. Definition of Derivative: The derivative of a function measures how the function's output changes as its input changes. The derivative of the sine function, sin⁡(x)\sin(x), with respect to xx is a well-known result in calculus.\newlineTo find the derivative of sin⁡(x)\sin(x), we can use the fact that the derivative of sin⁡(x)\sin(x) with respect to xx is cos⁡(x)\cos(x).
  2. Derivative of sin⁡(x)\sin(x): We can write down the derivative as follows:\newlinef′(x)=ddx[sin⁡(x)]=cos⁡(x)f'(x) = \frac{d}{dx} [\sin(x)] = \cos(x)\newlineThis is a direct application of the differentiation rules for trigonometric functions.

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