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