Find the Derivative - d/dx -sin(x)

Problem

(d(−)*sin(x))/d(x)

Solution

1. Identify the constant multiple rule for differentiation, which states that (d(c)*ƒ(x))/d(x)=cd(ƒ(x))/d(x)

2. Factor out the constant coefficient of −1 from the derivative operator.

3. Apply the derivative rule for the sine function, which is d(sin(x))/d(x)=cos(x)

4. Multiply the result by the constant factor to obtain the final derivative.

Final Answer

(d(−)*sin(x))/d(x)=−cos(x)

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