Differential Calculus
Calculus Contents D
Applications of the derivative
Tangent, normal, subtangent and subnormal
Property of the parabola
Property of power functions
Property of the exponential function

Angle between two curves examples
Differential of a function
Rules for differentials
Differentials of some basic functions
Higher order derivatives and higher order differentials

Increasing/decreasing test

Concave up and concave down definition
Points of inflection
Points of inflection and concavity of the sine function
Points of inflection and concavity of the cubic polynomial
Approximate solution to an equation, Newton's method (or the Newton-Raphson method)

Maclaurin's formula or Maclaurin's theorem

Properties of the power series expansion of the exponential function

Properties of the power series expansion of the sine function
Extreme points, local (or relative) maximum and local minimum
The first derivative test
The second derivative test and concavity
Finding and classifying critical (or stationary) points
Finding extreme points
Points of inflection
Finding points of inflection
Finding and classifying critical (or stationary) points examples