MATHEMATICAL PHYSIOLOGY DIFFERENTIAL CALCULUS
A VERY IMPORTANT LIMIT
THE DERIVATIVE OF f(x)
GEOMETRIC INTERPRETATION OF THE DERIVATIVE
PROPERTIES OF THE DERIVATIVE
ANOTHER EXAMPLE: DERIVATIVE OF A PRODUCT
ANOTHER EXAMPLE OF THE USE OF THE DEFINITION OF A DERIVATIVE
ANOTHER EXAMPLE
IMPLICIT DIFFERENTIATION
THE CHAIN RULE
AN EXAMPLE OF THE CHAIN RULE
THE INVERSE FUNCTION AND ITS DERIVATIVE
THE INVERSE FUNCTION AND ITS DERIVATIVE: DEMONSTRATION
INVERSE FUNCTIONS: AN EXAMPLE
EXTREMA OCCUR WHEN THE SLOPE OF THE TANGENT (DERIVATIVE)IS ZERO
THE SECOND AND HIGHER DERIVATIVES
SECOND DERIVATIVES DIAGNOSE THE SHAPE OF THE CURVE
MINIMA OCCUR WHEN THE SLOPE OF THE TANGENT (DERIVATIVE)IS ZERO AND THE SECOND DERIVATIVE IS POSITIVE
MAXIMA OCCUR WHEN THE SLOPE OF THE TANGENT (DERIVATIVE)IS ZERO AND THE SECOND DERIVATIVE IS NEGATIVE
SMALL CHANGES: THE DIFFERENTIAL dy = (dy/dx)dx
Email: mikulecky@gems.vcu.edu
Home Page: http://views.vcu.edu/~mikuleck/