f(x) = 4.4t^{2 }

Apply the difference quotient formula:

f(t - ∆t) – f(t) / ∆t

4.4(t + ∆t) –(4.4t^{2}) / ∆t

Somehow the equation above is supposed to reduce to8.8thowever I don’t see how yet. I used an online derivative calculator which shows 8.8t as the answer however what I am being asked to do is apply the difference quotient formula I think to the equation.

I worked the equation to:

4.4t^{2}+4.4∆t^{2}+-4.4t^{2 }/ ∆t = 4.4∆t

However I think I must be in error because the answer by the derivative calculator is 8.8t. I need to see how the difference quotient is used because my class did not teach the power rule so I am supposed to apply the difference quotient I believe.