Question

f(x) = 1+ (7/(x)) - (6/(x)^2)

(b) Find the interval where the function is increasing. (Enter your answer using interval notation.)

Find the interval where the function is decreasing. (Enter your answer using interval notation.)

(c) Find the local maximum and minimum values. (If an answer does not exist, enter DNE.)

(d) Find the interval where the function is concave up. (Enter your answer using interval notation.)

Find the interval where the function is concave down. (Enter your answer using interval notation.)

Find the inflection point.

Answer 1

Do you know about the first and second derivative tests?

Answer 2

ye when you find the critical points and the point of inflection and then use intervals to test where the function is positive or negative

Answer 3

that i understand, most of my confusion is the solving

Answer 4

f'=7-6x<0 when x>7/6._____________
f'>0 when x<7/6_______________

Answer 5

i dont follow, is that the intervals?

Answer 6

used to write the intervals *