Question

y

Answer 1

diffrentiate both side w.r.t.x.

Answer 2

-2xe^-x^2

Answer 3

@goformit100 so how do i find the interval at which f(x) is cancave downward and upward

Answer 4

you need to find the second derivative

Answer 5

(-2e^-x^2)+4x^2(e^-x^2)

Answer 6

find where the second derivative is zero

Answer 7

1/2sqrt(2)

Answer 8

-1/2SQRT(2)

Answer 9

your two numbers break the number line into 3 intervals. Pick a number form each of the intervals and plug into the second derivative and note whether it is a positive or negative number

Answer 10

positive means concave up...negative means concave down