MathsTranscendental Function – Explanation, Equation, Examples and FAQs

Transcendental Function – Explanation, Equation, Examples and FAQs

What are Transcendental Functions?

Transcendental functions are those which cannot be expressed in terms of polynomial functions. In other words, they are functions which cannot be expressed as a combination of basic algebraic functions. Some common transcendental functions include the natural logarithm (ln), the exponential function (e^x), and the sine and cosine functions. Transcendental Function – Explanation Equation Examples and FAQs.

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    Transcendental Function - Explanation, Equation, Examples and FAQs

    Define Transcendental Functions

    A transcendental function is a mathematical function that is not algebraic. This means that it cannot be expressed as a finite combination of polynomial functions. Some common transcendental functions include the natural logarithm, the exponential function, and the sine and cosine functions.

    What is a Transcendental Equation?

    A transcendental equation is an equation that cannot be solved using algebraic methods. This means that the equation cannot be solved by finding a common root of two polynomial equations, or by solving for the roots of a polynomial equation. Transcendental equations are solved using calculus or other methods that rely on the properties of transcendental functions.

    Define Transcendental Equations

    A transcendental equation is an equation that can be solved using radicals, but that cannot be solved using rational numbers.

    Transcendental Functions Examples With Solutions

    This page provides examples of transcendental functions with solutions. A transcendental function is a function that is not algebraic.

    1. Find the derivative of \(f(x) = \sqrt{x}\).

    \(f'(x) = \frac{1}{2x}\).

    2. Find the derivative of \(f(x) = x^{3}\).

    \(f'(x) = 3x^{2}\).

    3. Find the derivative of \(f(x) = x^{5}\).

    \(f'(x) = 5x^{4}\).

    Transcendental Function – Explanation Equation Examples and FAQs.

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