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    