Question

@agent0smith

Answer 1

Question number 5

Answer 2

Part A)
Where f"(x) is positive, the slope of f'(x) is increasing. Where f"(x) is negative, the slope of f'(x) is decreasing. Since a horizontal tangent line would be found at a relative extrema, points where f'(x) changes from increasing or decreasing or vise versa, or the x-intercepts of f"(x)

Answer 3

Ugh, I hate downloading documents... post screenshots

Answer 4

Okay one sec

Answer 5

Part B)
Where f"(x) is positive, f(x) is concave up. Where f"(x) is negative, f(x) is concave down.

Answer 6

That is it

Answer 7

Part C)
Critical Points are where the function changes from increasing to decreasing or vise versa. f"(x) is just the slopes of f'(x). I personally use a sign chart to find if critical points are maximums or minimums. If the slope goes from negative to positive then it is a minimum and if it goes from positive to negative then it is a maximum.

Answer 8

@agent0smith
How do I find the values of xin that interval

Answer 9

@zepdrix