Find the Derivative - d/dx y=x^3

Problem

d(x3)/d(x)

Solution

1. Identify the function to be differentiated, which is y=x3

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

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

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

Final Answer

d(x3)/d(x)=3*x2

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