By evaluating the quadratic function, we will see that the differential quotient is:
<h3>
How to get (f(2 + h) - f(2))/h?</h3>
Here we have the quadratic function:
Evaluating the quadratic equation we get:
So we need to replace the x-variable by "2 + h" and "2" respectively.
Replacing the function in the differential quotient:
If we simplify that last fraction, we get:
The third option is the correct one, the differential quotient is equal to 8 + 4.
If you want to learn more about quadratic functions:
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A differential equation is one that contains the derivative of a function. For example f(x) + 3 = 4f'(x) - 2. Usually you will be given one of the functions and initial conditions if you have to solve.
Answer:
C is the answer
Step-by-step explanation: