Find the Derivative - d/dx x^2-4x

Problem

d()/d(x)*(x2−4*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, which states that d(xn)/d(x)=n*x(n−1) to the first term x2

3. Differentiate the second term −4*x by applying 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)−4*x)/d(x)=2*x−4

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