Question

Suppose that f(x)=11x2−6x+2. Evaluate each of the following: f′(3)= f′(−7)=

Answer 1

f'(3) = 60

f'(-7) = -160

Explanation:

`f(x)=11x^2-6x+2\\f'(x)=22x-6\\\\f'(3)=22(3)-6=66-6=60\\f'(-7)=22(-7)-6=-154-6=-160`

Answer 2

`\dotfill`Answer and Step-by-step explanation:

Are you interested in finding what f(-3) and f(-7) equal? Let's find out!

The function is f(x) = 11x² - 6x + 2, so f(-3) is:

f(-3) = 11(-3)² - 6(-3) + 2

f(-3) = 11 * 9 + 18 + 2

f(-3) = 99 + 20

f(-3) = 119

How about f(-7)? We use the same procedure:

f(-7) = 11(-7)² - 6(-7) + 2

f(-7) = 11 × 49 + 42 + 2

f(-7) = 539 + 44

f(-7) = 583

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