   Chapter 7.R, Problem 9TFQ

Chapter
Section
Textbook Problem

# 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.(a) Every elementary function has an elementary derivative.(b) Every elementary function has an elementary antiderivative.

To determine

To Check: True/False

(a) Every elementary function has an elementary derivative.

(b) Every elementary function has an elementary antiderivative.

Explanation

An elementary function is a composition of finite number of arithmetic operations. Some examples of elementary functions are polynomial functions, logarithmic functions, trigonometric functions, hyperbolic functions etc.

(a) Yes

The fact that, every elementary function has an elementary derivative is true. Though we are not proving here but it can be proved.

(b) No

The fact that, every elementary function has an elementary antiderivative is false...

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