[Free] Learn Calculus 1 Part 3
Logarithmic function, Exponential function, and Inverse Trigonometric functions. – Free Course
What you’ll learn
- Inverse Trigonometric Function
- Exponential Function
- Logarithmatic Function
- Domain and Range of Inverse Trigonometric Function
- Solving Questions About The Above Topics
Requirements
- No requirements
Description
Resource: calculus by James Stewart 8th edition
In this course, you will learn about Inverse Trigonometric functions and all types of questions about Inverse Trigonometric functions and how to solve them.Additionally, about Exponential Function and all types of questions about Inverse Trigonometric functions and how to solve them.
Also, about Logarithmatic Function and all types of questions about Inverse Trigonometric functions and how to solve them.
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x. In the simplest case, the logarithm counts the number of occurrences of the same factor in repeated multiplication; e.g. since 1000 = 10 10 10 = 103, the “logarithm base 10” of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base, log x, when no confusion is possible, or when the base does not matter such as in big O notation.The logarithm base 10 (that is b = 10) is called the decimal or common logarithm and is commonly used in science and engineering. The natural logarithm has the number e (that is b 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler integral and derivative. The binary logarithm uses base 2 (that is b = 2) and is frequently used in computer science.
Logarithms were introduced by John Napier in 1614 as a means of simplifying calculations.[1] They were rapidly adopted by navigators, scientists, engineers, surveyors and others to perform high-accuracy computations more easily. Using logarithm tables, tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition.
exponential function, in mathematics, a relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a. Probably the most important of the exponential functions is y = ex, sometimes written y = exp (x), in which e (2.7182818) is the base of the natural system of logarithms (ln).
In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions are the inverse functions of the trigonometric functions (with suitably restricted domains). Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to obtain an angle from any of the angle’s trigonometric ratios. Inverse trigonometric functions are widely used in engineering, navigation, physics, and geometry.
Author(s): Rashed Omoush
