• :00Days
• :00Hours
• :00Mins
• 00Seconds
A new era for learning is coming soon Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q. 24

Expert-verified Found in: Page 248 ### Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861 # For the graph of f in the given figure, approximate all the values x ∈ (0, 4) for which the derivative of f is zero or does not exist. Indicate whether f has a local maximum, minimum, or neither at each of these critical points. The f has local maximum at point $\left(0·5,-0·5\right)$ and local minimum at point $\left(1·5,-3·5\right)$ .

See the step by step solution

## Step 1. Given information .

Consider the given graph . ## Step 2. Classifying local maximum and minimum value .

To classify the maximum and minimum value in the graph of a function if the graph is smooth and unbroken, then somewhere between each root of f the function must turn around, and at that turning point it must have a local extremum with a horizontal tangent line .

In the given graph the turning point is at $\left(0·5,-0·5\right)$ that is the local maximum point of the graph and point $\left(1·5,-3·5\right)$ is the local minimum point of the graph . ### Want to see more solutions like these? 