Dini derivative

Hello, young one! Today I am going to explain to you about the Dini derivative.

The Dini derivative is a way to measure how fast something is changing. Imagine you are walking, and you want to know how fast you are walking. You can look at your speedometer on your bicycle, but what if you are not on a bike? How do you measure your speed then? That's where the Dini derivative comes in.

The Dini derivative looks at a curve or a function and tells us how fast the curve is changing at a certain point. It tells us the slope of the curve at that point, which is how steep the curve is.

For example, imagine you have a curve that shows how fast a car is driving at different times. At one point on the curve, the Dini derivative tells you how fast the car is going – this is like looking at your speedometer.

The Dini derivative is named after the Italian mathematician Ulisse Dini. He was interested in the rate of change of functions and discovered this important mathematical concept.

In conclusion, the Dini derivative measures how fast a curve is changing at a certain point, just like how a speedometer measures how fast you are going on a bike. It helps us understand the slope of a curve and was discovered by a mathematician named Ulisse Dini.