Find the Derivative - d/d@VAR f(x)=x^2+x-6

Problem

d()/d(x)*(x2+x−6)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x2+x−6

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, −6 which gives 0

6. Combine the results to find the final derivative.

Final Answer

(d(x2)+x−6)/d(x)=2*x+1

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