Rational exponents
We extend the definition of power of positive integer exponent and their inversas and we consider positive rational exponents:
Dragging the point we can see different power functions.
REFERENCES
Richard Courant y Fritz John - Introducción al cálculo y al análisis matemático. Ed. Limusa-Wiley.
LINKS
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Powers with natural exponents
Power with natural exponents are simple and important functions.
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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.
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