Find dy/dx y=x^3

Problem

d(y)/d(x)* for *y=x3

Solution

1. Identify the function to be differentiated, which is a power function of the form y=xn

2. Apply the power rule for differentiation, which states that d(xn)/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(y)/d(x)=3*x2

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