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

Problem

d()/d(x)d(x^3)/d(x)

Solution

1. Identify the task as finding the second derivative of the function x^3 with respect to x

2. Apply the power rule for the first derivative, where d(x^n)/d(x)=n*x^(n−1)

3. Differentiate x^3 to get the first derivative.

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

4. Apply the power rule again to the result to find the second derivative.

(d(3)*x^2)/d(x)=3⋅2*x^(2−1)

5. Simplify the expression to reach the final result.

3⋅2*x=6*x

Final Answer

d()/d(x)d(x^3)/d(x)=6*x

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