Suppose that the graph below is the graph of f'(x), the derivative of a function f(x). Find the open intervals where f(x) is a) increasing, or b) decreasing.
Added by Michael B.
Close
Step 1
Since f''(x) is the derivative of f'(x), we can find the critical points of f'(x) by looking at where f''(x) changes its sign (from positive to negative or vice versa). From the graph, we can see that f''(x) changes its sign at x = a, x = b, and x = c. Therefore, Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 101 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
Find the open intervals where the function graphed below is a) increasing, or b) decreasing.
Madhur L.
The graph of the derivative f' of a function f is shown. (a) On what interval is f increasing? (Enter your answer using interval notation.) On what intervals is f decreasing? (Enter your answer using interval notation.) (b) At what values of x does f have a local maximum or minimum? (Enter your answers as a comma-separated list.)
Ma. Theresa A.
Shaiju T.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD