Find the Derivative - d/dx f(x)=x^2

Problem

d(x^2)/d(x)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x^2

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

3. Substitute n=2 into the power rule formula.

4. Simplify the resulting expression 2*x^(2−1) to obtain 2*x^1 which is 2*x

Final Answer

d(x^2)/d(x)=2*x

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