Find the Derivative - d/dx y=-2x+7

Problem

d()/d(x)*(−2*x+7)

Solution

1. Identify the expression to be differentiated, which is a linear function of the form y=m*x+b

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

3. Differentiate the first term −2*x using the power rule, which results in −2

4. Differentiate the second term 7 using the constant rule, which results in 0

5. Combine the results to find the final derivative.

Final Answer

d()/d(x)*(−2*x+7)=−2

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