Numerical higher order derivatives and time axis

1. What is higher-order derivatives?
2. Is the order of the derivative of the highest order?

What is higher-order derivatives?

A higher-order derivative refers to the repeated process of taking derivatives of derivatives. Higher-order derivatives are applied to sketch curves, motion problems, and other applications. Notation for higher-order derivatives: First Derivative. Second Derivative.

Is the order of the derivative of the highest order?

The order of highest derivative in the case of first order differential equations is 1. A linear differential equation has order 1. In the case of linear differential equations, the first derivative is the highest order derivative.