3. Compute the second derivative, and use your answer to determine where the function is concave up/concave down; show your work on a number line. 4. Enter the "key points" in the table below, and use your results in #1 - #3 to sketch the graph of the function. \( y \) why
Added by Yaboiimarco Y.
Close
Step 1
We can use the formula for the area of a rectangle, which is length times width. So, the area of the rectangle is: Area = length x width Area = 8 cm x 5 cm Area = 40 cm² Show more…
Show all steps
Your feedback will help us improve your experience
Joseph David and 62 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
Sketch the graph of each function. List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing, as well as where it is concave up or concave down. f(x)=-x^{3}+3 x-2
Applications of Differentiation
Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs
Sketch the graph of each function. List the coordinates of where extrema or points of inflection occurs State where the function is increasing or decreasing, as well as where it is concave up or concave down. $$f(x)=(x-1)^{2 / 3}$$
Determine the intervals where the graph of the given function is concave up and concave down. $$f(x)=x+3(1-x)^{1 / 3}$$
Concavity and The Second Derivative Test
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD