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find the derivative of ( f(x) ). ( f(x)=cos (x) ) ( f^{prime}(x)= )

Question

find the derivative of ( f(x) ).

( f(x)=cos (x) )

( f^{prime}(x)= )

Explanation:

Step1: Recall derivative of cosine

The derivative of \( \cos(x) \) with respect to \( x \) is a standard derivative rule. The derivative of \( \cos(x) \) is \( -\sin(x) \).

Answer:

\( - \sin(x) \)