Determine whether the statement is true or false. If it is true, explain why. If it is false,...

Question:

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

Every elementary function has an elementary derivative.

Elementary Function:


An elementary function is made up of a fixed number of mathematical operations. Polynomial functions, logarithmic functions, trigonometric functions, hyperbolic functions, and so forth are cases of elementary functions.

Answer and Explanation: 1

Given:


  • Consider a given statement, every elementary function has an elementary derivative.


The main objective of the question is to determine whether the statement is true or false and explain why.


The function such as polynomial functions, logarithmic function, trigonometric function etc are considered as elementary functions. Some functions that are obtained by using mathematical operators on these functions are also considered elementary functions.


Now, the basic elementary functions have derivatives.


The derivative of the elementary functions that contains mathematical operations such as multiplication can be evaluated using the chain rule and some other rules of differentiation.


So, every elementary function has an elementary derivative.


Thus, the statement is true.


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How to Compute Derivatives

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Chapter 20 / Lesson 1
71K

Understand what derivative calculus is and how to find the derivative of a function. Learn the derivative rules, and practice taking derivatives by following examples.


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