Question
If $f$ has a local minimum value at $c$, show that the function $ g(x) = - f(x) $ has a local maximum value at $c$.
Step 1
This means that $f$ changes from decreasing to increasing at $c$. Show more…
Show all steps
Your feedback will help us improve your experience
Amrita Bhasin and 65 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
If f has a local minimum value at c, show that the function g(x) =-f(x) has a local maximum value at c.
If f has a local minimum value at c, show that the function g(x)-f(x) has a local maximum value at c. f'(c)-0 "(c)>0
Show that if $f$ has a local minimum at $c$, then $g(x)=-f(x)$ has a local maximum at $c$
Applications of the Derivative
Maximum and Minimum Values; Critical Numbers
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD