Find the Derivative - d/d@VAR f(x)=x^2-5x+6

Problem

d()/d(x)*(x^2−5*x+6)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x^2−5*x+6

2. Apply the power rule to the first term, x^2 which states that d(x^n)/d(x)=n*x^(n−1)

3. Apply the constant multiple rule and power rule to the second term, −5*x resulting in −5

4. Apply the constant rule to the third term, 6 which states that the derivative of a constant is 0

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

Final Answer

(d(x^2)−5*x+6)/d(x)=2*x−5

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