Find the Derivative - d/dx x-5

Problem

d()/d(x)*(x−5)

Solution

1. Identify the expression as a difference of two terms, x and 5

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 using the power rule, where d(x)/d(x)=1

4. Differentiate the second term using the constant rule, where the derivative of any constant (like 5 is 0

5. Simplify the resulting expression 1 - 0$.

Final Answer

d()/d(x)*(x−5)=1

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