Find the Derivative - d/dm mx+b

Problem

d()/d(m)*(m*x+b)

Solution

1. Identify the variable of differentiation, which is m

2. Treat all other variables, x and b as constants relative to m

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

4. Differentiate the first term m*x with respect to m using the power rule, where the derivative of c⋅m is c

(d(m)*x)/d(m)=x

5. Differentiate the constant term b with respect to m

d(b)/d(m)=0

6. Combine the results to find the final derivative.

Final Answer

d()/d(m)*(m*x+b)=x

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