Find the Derivative - d/d@VAR f(x)=9x+7

Problem

d()/d(x)*(9*x+7)

Solution

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

2. Apply the sum rule for derivatives, which states that the derivative of a sum is the sum of the derivatives: d()/d(x)*(9*x+7)=(d(9)*x)/d(x)+d(7)/d(x)

3. Apply the power rule to the first term, where (d(a)*x)/d(x)=a Thus, (d(9)*x)/d(x)=9

4. Apply the constant rule to the second term, where the derivative of any constant is zero. Thus, d(7)/d(x)=0

5. Combine the results to find the final derivative.

Final Answer

d()/d(x)*(9*x+7)=9

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