Find the Derivative - d/dx f(x)=x^3

Problem

d(x^3)/d(x)

Solution

1. Identify the function to be differentiated, which is a power function of the form x^n where n=3

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

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

4. Simplify the exponent by calculating $3 - 1 = 2$.

Final Answer

d(x^3)/d(x)=3*x^2

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