So this is the formula for the graph: N(t) = 2500 + 2t^4
t = Amount of hours
Question: What's the growth rate when t = 5?
What would N'(5) become in this case?
I'm getting it to N'(5) = 134 (8*5^3) but my book tells me the answer is 1000.
For the function N(t) = 2500 + 2t4,
N'(t) = 8t3
so N'(5) = 8·53 = 8·125 = 1000