Differential Calculus
Calculus Contents C
Properties of continuous functions
Differential Calculus - Derivatives and differentials
The derivative of a function
Tangent to a curve
The equation of the line tangent to the given curve at the given point
Determining the lines tangent to the graph of a function from a point outside the function
Determining the lines tangent to the graph of a function from a point outside the function example
The derivative as a function
Derivatives of basic or elementary functions
Differentiation rules
The derivative of the sum or difference of two functions
The product rule
A constant times a function rule
The quotient rule
Table of derivatives of elementary functions
The chain rule applications
Implicit differentiation
Implicit differentiation examples
Generalized power rule
Generalized power rule examples
Logarithmic differentiation
Logarithmic differentiation examples
Derivative of a composite exponential function
Use of the logarithmic differentiation
Derivatives of composite functions examples
Derivatives of the hyperbolic functions
Derivatives of inverse hyperbolic functions
Derivative of the inverse function
Derivatives of the inverse trigonometric functions
Derivative of parametric functions, parametric derivatives
Derivative of parametric functions example
Derivative of vector-valued functions