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

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

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Your Input

Find ddu(sin(u))\frac{d}{du} \left(\sin{\left(u \right)}\right).

Solution

The derivative of the sine is ddu(sin(u))=cos(u)\frac{d}{du} \left(\sin{\left(u \right)}\right) = \cos{\left(u \right)}:

(ddu(sin(u)))=(cos(u)){\color{red}\left(\frac{d}{du} \left(\sin{\left(u \right)}\right)\right)} = {\color{red}\left(\cos{\left(u \right)}\right)}

Thus, ddu(sin(u))=cos(u)\frac{d}{du} \left(\sin{\left(u \right)}\right) = \cos{\left(u \right)}.

Answer

ddu(sin(u))=cos(u)\frac{d}{du} \left(\sin{\left(u \right)}\right) = \cos{\left(u \right)}A