Find the Derivative - d/d@VAR f(x)=x^2+x-7

Problem

d()/d(x)*(x2+x−7)

Solution

1. Identify the function to be differentiated, which is a polynomial ƒ(x)=x2+x−7

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

3. Apply the power rule to the first term x2 which gives 2*x

4. Apply the power rule to the second term x which gives 1

5. Apply the constant rule to the third term −7 which gives 0

6. Combine the results of the individual derivatives to find the final expression.

Final Answer

(d(x2)+x−7)/d(x)=2*x+1

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