Find the Derivative - d/da y=ax^2+bx+c

Problem

d()/d(a)*(a*x2+b*x+c)

Solution

1. Identify the variable of differentiation, which is a

2. Treat all other variables and constants (x b and c as constants with respect to a

3. Apply the power rule to the first term a*x2 where the derivative of a is 1 leaving the constant coefficient x2

4. Apply the constant rule to the terms b*x and c as they do not contain the variable a

5. Sum the results of the derivatives of each term.

Final Answer

d()/d(a)*(a*x2+b*x+c)=x2

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