If f (t)=t^2 + 3, find [ f(t + h) -f (t)]/h.

Answer 1

Mr.C

f(t) = t^2 +3, f(t+h) = (t+h)^2 +3 = t^2 +2th +h^2 + 3

f(t+h) - f(t) = [t^2 +2th +h^2 + 3 ] - [ t^2 +3] = 2th + h^2

f(t+h) - f(t) 2th + h^2 h(2t + h)

------------------- = ------------------ = ---------------- = 2t + h

h h h