The function f has a continuous second derivative, and it satisfies f(7)=5, f′(7)=4 and f″(7)=−2.We can conclude that:A. f has a local maximum at 7B. f has neither a local maximum nor a local minimum at 7C. f has a local minimum at 7D. We cannot determine if A, B, or C hold without more information.

Question
Asked Oct 26, 2019

The function f has a continuous second derivative, and it satisfies f(7)=5, f′(7)=4 and f″(7)=−2.

We can conclude that:

A. f has a local maximum at 7
B. f has neither a local maximum nor a local minimum at 7
C. f has a local minimum at 7
D. We cannot determine if A, B, or C hold without more information.

check_circleExpert Solution
Step 1

f"(7)=-2 

Since f " (7) < 0 so ...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Calculus

Other