Find the Derivative - d/dx -e^x

Problem

(d(−)*ex)/d(x)

Solution

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

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

3. Apply the rule for the derivative of the natural exponential function, where d(ex)/d(x)=ex

4. Multiply the result by the constant coefficient to find the final derivative.

Final Answer

(d(−)*ex)/d(x)=−ex

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