MATHEMATICS   Formulas, Graphs, Tables, . . .  < High School to University Level >
CONTENTS J
  91   The equation of the line tangent to the given curve at the given point
           Determining the derivative of a function as the limit of the difference quotient
           Determining the lines tangent to the graph of a function from a point outside the function
           The derivative as a function
        Derivatives of basic or elementary functions
           Determining the derivative of a function as the limit of the difference quotient
           The derivative of the power function
           The derivative of the linear function
           The derivative of a constant
  92   The derivative of a function as the limit of the difference quotient
           The derivative of the sine function
           The derivative of the cosine function
           The derivative of the exponential function
           The derivative of the logarithmic function
  93   Differentiation rules
           The derivative of the sum or difference of two functions
           The product rule
           A constant times a function rule
           Derivatives of functions examples
           The quotient rule
           The derivative of the tangent function - use of the quotient rule
           The derivative of the cotangent function - use of the quotient rule
           The chain rule
           Differentiation using the chain rule examples
  94  Table of derivatives of elementary functions
        Differentiation rules
           Chain rule
           Differentiating inverse function
           Differentiating parametric equations
           Logarithmic derivative
        Table of derivatives of elementary functions
  95  The chain rule applications
        Implicit differentiation
           Implicit differentiation examples
           Generalized power rule
        Logarithmic differentiation
           Logarithmic differentiation examples
  96  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
  97  Derivatives of inverse trigonometric functions
           The derivative of inverse of sine and cosine functions
           The derivative of inverse of tangent and cotangent functions
            The derivative of inverse of secant and cosecant functions
            Derivative of parametric functions, parametric derivatives
  98  Derivative of parametric functions example
            Derivative of vector-valued functions
   99  Applications of the derivative
           Tangent, normal, subtangent and subnormal
           Properties of the parabola
           Property of power functions
           Property of the exponential function
100  Angle between two curves
           Angle between two curves example
           Differential of a function
 
 
 
 
 
 
 
 
 
 
Copyright © 2004 - 2020, Nabla Ltd.  All rights reserved.