Find the Derivative - d/dx -x^3

Problem

(d(−)*x^3)/d(x)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=−x^3

2. Apply the power rule, which states that d(x^n)/d(x)=n*x^(n−1)

3. Apply the constant multiple rule, which allows the coefficient −1 to be moved outside the derivative.

4. Calculate the derivative by multiplying the exponent by the coefficient and decreasing the exponent by one.

5. Simplify the resulting expression.

Final Answer

(d(−)*x^3)/d(x)=−3*x^2

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