Find h'(t) then, h'(1)
A soccer ball is kicked into the air such that its height, in m, after t seconds, can be modelled by the function h(t)=-4.9t^2+12t+0.5. Determine the instantaneous rate of change of the height of the ball after 1 s.
I tried doing it using derivatives, but I got this unfactorable numerator.
There are other ways to find a derivative than using the definition!
However, the definition is, of course,
Obviously, the denominator is going to 0. In order that the limit exist, the numerator must also go to 0. And if a polynomial goes to 0 as h goes to 0, The polynomial must be 0 at h= 0- and if a p(a)= 0, x- a is a factor.