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Lesson 9 Derivatives ofTranscendentalFunctions

# Lesson 9 Derivatives ofTranscendentalFunctions - Function...

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Derivatives of Transcendental Functions

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Objectives apply the properties of the transcendental functions to simplify differentiation; differentiate functions involving transcendental functions; and
A transcendental function is a function that does not satisfy a polynomial equation whose coefficients are themselves polynomials, in contrast to an algebraic function , which does satisfy such an equation. [1] In other words a transcendental function is a function which " transcends " algebra in the sense that it cannot be expressed in terms of a finite sequence of the algebraic operations of addition, multiplication, and root extraction. Examples of transcendental functions include the exponential function , the logarithm , and the trigonometric functions .

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Derivative of Logarithmic

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Unformatted text preview: Function The Logarithm Laws Exponents Exponents Logarithms Logarithms b m × × b n = = b m + n log log b xy xy = log = log b x + log + log b y b m ÷ ÷ b n = = b m-n m-n log log b ( ( x/y x/y ) = log ) = log b x − log − log b y ( b m ) n = = b mn mn log log b ( ( x n ) = ) = n log log b x b 1 = = b log log b ( ( b ) = 1 ) = 1 b = 1 = 1 log log b (1) = 0 (1) = 0 Differentiation Formulas Derivative of the Exponential Function Differentiation Formulas Derivatives of Trigonometric Functions Differentiation Formulas Derivatives of Inverse Trigonometric Functions Differentiation Formulas Derivatives of Hyperbolic Functions Differentiation Formulas Derivative of Inverse Hyperbolic Function Differentiation Formulas...
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