1. Find the intervals of increase and decrease for the given function. (a) $f(x) = x^3 - 3x - 4$ (b) $f(t) = \frac{t}{(t+3)^2}$ (c) $f(x) = \sqrt{x} + \frac{1}{\sqrt{x}}$
Added by Cody D.
Close
Step 1
To find the intervals of increase and decrease for the given function, we need to determine where the function is increasing and where it is decreasing. Show more…
Show all steps
Your feedback will help us improve your experience
Mary Wakumoto and 80 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
(a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c) Find the intervals of concavity and the inflection points. (d) Use the information from parts (a)-(c) to sketch the graph. You may want to check your work with a graphing calculator $$ g(t)=3 t^{4}-8 t^{3}+12 $$
Applications of Differentiation
What Derivatives Tell Us about the Shape of a Graph
(a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c) Find the intervals of concavity and the inflection points. (d) Use the information from parts (a)-(c) to sketch the graph. You may want to check your work with a graphing calculator $$ C(x)=x^{1 / 3}(x+4) $$
(a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c) Find the intervals of concavity and the inflection points. (d) Use the information from parts $ (a) - (c) $ to sketch the graph. Check your work with a graphing device if you have one. $ C(x) = x^{1/3} (x + 4) $
How Derivatives Affect the Shape of a Graph
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD