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

Problem

d()/d(x)*(x3−3*x)

Solution

1. Identify the function to be differentiated, which is a polynomial consisting of two terms: x3 and −3*x

2. Apply the sum rule for derivatives, which states that the derivative of a sum is the sum of the derivatives.

3. Apply the power rule to the first term, x3 which gives 3*x(3−1)=3*x2

4. Apply the power rule to the second term, −3*x which gives −3*(1)*x(1−1)=−3

5. Combine the results to find the final derivative.

Final Answer

d()/d(x)*(x3−3*x)=3*x2−3

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