Find the Derivative - d/dx x^2-3x

Problem

d()/d(x)*(x2−3*x)

Solution

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

2. Apply the power rule to the first term, x2 which states that d(xn)/d(x)=n*x(n−1)

3. Differentiate the second term, −3*x using the constant multiple rule and the power rule.

4. Combine the results of the individual derivatives to find the final expression.

Final Answer

(d(x2)−3*x)/d(x)=2*x−3

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