Because gravity acts on the ball it slows down, then it reverses direction and starts to fall.
This is important in business (cost reduction, profit increase) and engineering (maximum strength, minimum cost.) A box with a square base is open at the top.
If of material is used, what is the maximum volume possible for the box?
There is a constant rate of change of the distance compared to the time.
We notice that the slope (gradient) is always `300/5 = 60` for the whole graph.
The remainder of the chapter explains how to find derivatives of more complex expressions.
This calculator evaluates derivatives using analytical differentiation.
The online calculator will calculate the derivative of any function, with steps shown.
Also, it will evaluate the derivative at the given point, if needed.
There was a real need to understand how constantly varying quantities could be analysed and predicted.
That's why they developed differential calculus, which we will learn about in the next few chapters.