(1 point) Consider the function 5 + e\" (A) Find the first derivative of f f, (2
ID: 2886440 • Letter: #
Question
(1 point) Consider the function 5 + e" (A) Find the first derivative of f f, (2) = 5e^x/((5+e^x)^2) (B) Use interval notation to indicate where f(z) is increasing NOTE: Use 'Inf for oo, -Inf for-o, and use "U' for the union symbol Increasing: (-inf,2) (C) List the x coordinates of all local minima of f. If there are no local maxima, enter 'NONE r values of local minima: NONE (D) List the x coordinates of all local maxima of f. If there are no local maxima, enter 'NONE' r values of local maxima: NONE (E) Find the second derivative of f (F) Use interval notation to indicate the interval(s) of upward concavity of f() Concave up: (-2,1.6) (F) Use interval notation to indicate the interval(s) of downward concavity for f(r Concave down:NONE (G) List the z values of the inflection points of f. If there are no inflection points, enter 'NONE' r values of inflection points: NONEExplanation / Answer
A)
Your answer is correct
B)
Since (5 e^x)/(5 + e^x)^2 is always positive as e^x>0 for all x. hence increasing on
(-inf, inf)
Your answer is incorrect
C)
(5 e^x)/(5 + e^x)^2 will never be zero, as e^x>0 for all x.
NONE
d)
NONE
e)
f)
-(e^x - 5) >0
e^x -5<0
e^x <5
x<ln(5)
hence
(-inf , ln(5))
f)
(ln(5), inf)
g)
ln(5)
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