Find the Derivative - d/d@VAR f(x)=7x-3

Problem

d()/d(x)*(7*x−3)

Solution

1. Identify the function ƒ(x)=7*x−3 and the differentiation variable x

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

d()/d(x)*(7*x−3)=(d(7)*x)/d(x)−d(3)/d(x)

3. Apply the constant multiple rule to the first term, (d(7)*x)/d(x)=7d(x)/d(x)

4. Apply the power rule to d(x)/d(x) which results in 1

(d(7)*x)/d(x)=7*(1)=7

5. Apply the constant rule to the second term, noting that the derivative of any constant is 0

d(3)/d(x)=0

6. Combine the results to find the final derivative.

7−0=7

Final Answer

d()/d(x)*(7*x−3)=7

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