Question
Find the absolute maximum and absolute minimum values of $f$ on the given interval.$f(x)=x^{4}-2 x^{2}+3,[-2,3]$
Step 1
To do this, we take the derivative of the function $f(x) = x^{4} - 2x^{2} + 3$. The derivative of the function is $f'(x) = 4x^{3} - 4x$. Show more…
Show all steps
Your feedback will help us improve your experience
Kyle Christian and 51 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 absolute maximum and absolute minimum values of $f$ on the given interval. $$f(x)=3 x^{4}-4 x^{3}-12 x^{2}+1, \quad[-2,3]$$
Applications of Differentiation
Maximum and Minimum Values
Find the absolute maximum and absolute minimum values of $f$ on the given interval. $$f(x)=2 x^{3}-3 x^{2}-12 x+1,[-2,3]$$
Find the absolute maximum and minimum values of $f$ on the given closed interval, and state where those values occur. $f(x)=\left(x^{2}+x\right)^{2 / 3} ;[-2,3]$
THE DERIVATIVE IN GRAPHING AND APPLICATIONS
Absolute Maxima and Minima
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
