Question
Give an example of a function $f$ that is defined for all real numbers and sa::sfics the given conditions.$f^{\prime}(x)$ exists for all $x, t \pm 1 ;$ neither $f^{\prime}(1)$ nor $f^{\prime}(-1)$ exists.
Step 1
Step 1: We are asked to find a function that is defined for all real numbers and its derivative exists for all x, except at x = 1 and x = -1. Show more…
Show all steps
Your feedback will help us improve your experience
Carson Merrill and 97 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Give an example of a function $f$ that is defined for all real numbers and sa::sfics the given conditions. $f^{\prime}(x)$ exists for all $x \neq-1 ; f^{\prime}(-1)$ docs not exist.
The Derivative; The Process of Differentation
The Derivative
Give an example of a function $f$ that is defined for all real numbers and sa::sfics the given conditions. $f^{\prime}(x)=0$ for all $x \leq 0 ; f^{\prime}(0)$ does not exist.
Give an example of a function $f$ that is defined for all real numbers and sa::sfics the given conditions. $f^{\prime}(x)=1$ for $x < 0$ and $f^{\prime}(x)=-1$ for $x \because 0$
Transcript
600,000+
Students learning Calculus with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD