Find the Derivative - d/dx x-7

Problem

d()/d(x)*(x−7)

Solution

1. Identify the expression as a difference of two terms, x and 7

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

3. Differentiate the first term, x using the power rule, where d(x)/d(x)=1

4. Differentiate the second term, 7 noting that the derivative of any constant is 0

5. Combine the results to find the final derivative.

Final Answer

d()/d(x)*(x−7)=1

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