So we can say: the geometrical meaning of the derivative of
the
at the point is the tangent of the angle
between the OX axis and the tangent of the curve at the point
The physical meaning of the derivative of the function
It is the instantaneous velocity at the moment when we have
the nonuniform motion , that is
The equation of the tangent of the curve at the point
Let is the equation of the tangent of the curve at the
point As the point
belongs to the curve and the tangent
then we have the following system of equations
where is the distance covered.