Derivative of sin(x)\sin{\left(x \right)}

The calculator will find the derivative of sin(x)\sin{\left(x \right)}, with steps shown.

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Solution

The derivative of the sine is ddx(sin(x))=cos(x)\frac{d}{dx} \left(\sin{\left(x \right)}\right) = \cos{\left(x \right)}:

(ddx(sin(x)))=(cos(x)){\color{red}\left(\frac{d}{dx} \left(\sin{\left(x \right)}\right)\right)} = {\color{red}\left(\cos{\left(x \right)}\right)}

Thus, ddx(sin(x))=cos(x)\frac{d}{dx} \left(\sin{\left(x \right)}\right) = \cos{\left(x \right)}.

Answer

ddx(sin(x))=cos(x)\frac{d}{dx} \left(\sin{\left(x \right)}\right) = \cos{\left(x \right)}A