Powers
Powers functions
includes the line, parabola, cubic parabola, etc.
They are the basis of the polynomials
and examples of even and odd functions.
The inverse of exponentiation is extracting a root:
One function and its inversa are simetrical respect the first quadrant diagonal.
We can modify the exponent value to see different power functions and their inversas.
Seeing this applet we can be prearranged to accept these limits:
REFERENCES
Richard Courant y Fritz John - Introducción al cálculo y al análisis matemático. Ed. Limusa-Wiley.
LINKS
|
Powers with positive rational exponents
We extend the definition of power of positive integer exponent and their inversas if we consider positive rational exponents.
|
|
Polynomial approximations
The powers of natural exponent are the base of the polynomials. We can consider the polynomic function that passes through a series of points of the plane. This is an interpolation problem that is solved here using the Lagrange interpolating polynomial.
|
|