Miguel Hanson
2022-04-15
StettyNagEragpouj
Beginner2022-04-16Added 7 answers
Step 1
Given:
Find the derivative
Step 2
Differentiate again with respect to x
Step 3
Substitute in and check for sign
If then the curve is convex.
If , then the curve is concave
We can see at the second derivative is greater than zero, hence, the curve is convex.
For further information, you can refer
Note: Concave up is same as convex and concave down is concave
Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
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