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

Problem

d()/d(x)*(x3−3*x)

Solution

1. Identify the expression as a difference of two terms, which allows the use of the sum/difference rule for derivatives.

2. Apply the power rule, which states that d(xn)/d(x)=n*x(n−1) to the first term x3

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

3. Apply the power rule to the second term 3*x noting that the derivative of x is 1.

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

4. Combine the results by subtracting the second derivative from the first.

3*x2−3

Final Answer

(d(x3)−3*x)/d(x)=3*x2−3

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