that when an object is acted on by a force,it is caused to accelerate,and a magnitude of the acceleration is directly proportional to the size of the thus acceleration enters into the basic laws of motion in an essential
We shall now examine the higher order derivatives in a more about context.let y = f (x) be a given function of x with derivative dy/dx = f(x)In full,we call this the first derivative of y with respect to x.If f'(x) is a ferentiable function of x,its derivative is called the second derivative with respect to x. if the second derivative is a differentiable function of derivative is called the third derivative of y,and so on.
the first and all higher-order derivatives of y with respect to x are ally denoted by one of the following types of notation.