I am taking an introductory calculus course at the high school level currently and had a question about first principles
basically when one finds the derivative dy/dx based on first principles, what does the answer represent??
For example, the function f(t) = -4.9t^2 + 16t + 1
when you find the derivative of this based on first principles, you get
-9.8t + 16
what can i do with the -9.8t + 16, can i use it to find instant rate of change at any value of t or no?