Determine the critical values of f(x) = ax² + bx + c.
A critical value can occur where f'(x) = 0 and also where f'(x) does not exist. Since f'(x) is a polynomial, there are no x-values where f '(x) does not exist. Therefore, the only critical values will be where f'(x) = 0.
Solve the equation f'(x) = 0 for x.

  x = -b/(2a)

Step-by-step explanation:

Using the power rule for derivatives, you can find ...

  f'(x) = 2ax +b

Solving for x when f'(x) = 0, we have ...

  2ax +b = 0

  2ax = -b

  x = -b/(2a)

The critical value is x = -b/(2a).

the answer is b i just did that

step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.