Find the Derivative - d/d@VAR f(x)=-sin(x)

Problem

d()/d(x)*(−sin(x))

Solution

1. Identify the function to be differentiated, which is ƒ(x)=−sin(x)

2. Apply the constant multiple rule, which states that d()/d(x)*[c⋅ƒ(x)]=c⋅d(ƒ(x))/d(x)

3. Differentiate the trigonometric function sin(x) using the standard derivative rule d(sin(x))/d(x)=cos(x)

4. Multiply the result by the constant −1 to find the final derivative.

Final Answer

(d(−)*sin(x))/d(x)=−cos(x)

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