Consider the function f(x)= 1 + 1/x - 1/x2
Find the domain, the vertical and horizontal asymptotes,
the intervals of increase or decrease, the local minimum and
maximum values, the intervals of concavity and the inflection
points.
For the function
g|x|=2x/3x3-x2 ,find the domain,
x-intercepts, y-intercepts, critical numbers, extrema, holes,
vertical asymptotes, horizontal asymptotes, points of inflection.
If any of these items do not exist, explicitly state so.
f(x)=e^x/(x+1)
Find the vertical and horizontal asymptotes using limits. Also,
intervals of increase and decrease, local extrema. Finally, find
the intervals of concavity and points of inflection.
Find the vertical asymptotes (if any) of the graph of the
function. (Use n as an arbitrary integer if necessary. If
an answer does not exist, enter DNE.)
h(x) =
x2 − 9
x3 + 3x2 − x − 3
(line in the middle of both functions is a division line)
Find f
1)f”(x)=-2+12x-12x(Square), f’(0)=12
F(x)=?
2)Find a function f such that f’(x)=5x cube and the line
5x+y=0 is the tangent to the graph of f
F(x)=?
3)A particle is moving with the given data. Find the position
of the particle
a(t)=11sin(t)+4cos(t), s(0)=0, s(2pi)=16
s(t)=?
(please i need help)
Consider the function
f(x)=
x3
x2 − 1
Express the domain of the function in interval notation:
Find the y-intercept: y=
.
Find all the x-intercepts (enter your answer as a
comma-separated list): x=
.
On which intervals is the function positive?
On which intervals is the function negative?
Does f have any symmetries?
f is even;f is
odd; f is periodic;None of
the above.
Find all the asymptotes of f (enter your answers as
equations):
Vertical asymptote (left):
;
Vertical...