Find the Derivative - d/dx -x^2

Problem

(d(−)*x^2)/d(x)

Solution

1. Identify the function to be differentiated, which is −x^2

2. Apply the constant multiple rule by moving the negative sign (coefficient of −1 outside the derivative.

(d(−)*x^2)/d(x)=−d(x^2)/d(x)

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

−d(x^2)/d(x)=−(2*x^(2−1))

4. Simplify the expression by calculating the exponent and multiplying.

−(2*x^1)=−2*x

Final Answer

(d(−)*x^2)/d(x)=−2*x

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