Answer:
0 is an inflection point
1/4 is a local maximum.
Step-by-step explanation:
To begin with you find the first derivative of the function and get that

to find the critical points you equal the first derivative to 0 and get that

To find if they are maximums or local minimums you use the second derivative.

since
is neither an inflection point, and since
then 1/4 is a maximum.
Answer: 2(3x + 2y) and 6x + 4y
Step-by-step explanation:
Hi, to answer this question we have to solve the expression.
2(2x + 4y + x − 2y)
First we have to simplify the expression within the brackets.
2 (2x + x +4y -2y)
We have the first equivalent expression. Now to obtain the second expression we apply distributive property:
2 (3x) + 2 ( 2y)
In conclusion 2(3x + 2y) and 6x + 4y are equivalent expressions to 2(2x + 4y + x − 2y).
Feel free to ask for more if it´s necessary or if you did not understand something.