f(x)=e^x/(x+1)
Find the vertical and horizontal asymptotes using limits. Also,
intervals of increase and decrease, local...
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.
a) Let f(x) = −x^4 − 4x^3 . (i) Find the intervals of
increase/decrease of f. (ii) Find the local extrema of f (values
and locations). (iii) Determine the intervals of concavity. (iv)
Find the location of the inflection points of f. (v) Sketch the
graph of f. (You can choose your own scale for the graph)
b) A farmer wants to fence in an area of 6 km2 in a rectangular
field and then divide it in half with...
Let f(x) = −x^4 − 4x^3.
(i) Find the intervals of increase/decrease of f.
(ii) Find the local extrema of f (values and locations).
(iii) Determine the intervals of concavity.
(iv) Find the location of the inflection points of f.
(v) Sketch the graph of f. (You can choose your own scale for
the graph)
For f(x)=x^2+x-2/x^2-4, determine the equation for any vertical
asymptotes, the equation for any horizontal asymptotes, and the
x-coordinates of any holes
Find the intervals of increase and decrease, find the local
maximum and minimum values, find the intervals of concave up and
concave down, find the inflection points and sketch the graph
f(deta) = 2cos(deta)+cos^2(deta), 0<=deta<=2pi
Part A. Find the horizontal and vertical asymptotes of ?(?)=
(6x^2) / (7(x^2 + 8))
Part B. Find the horizontal and vertical asymptotes
of ?(?)= (x^2 - 3) / (x^2 + 2x - 8)
Part C. Find the horizontal and vertical asymptotes of ?(?)=
(x^2 - 49) / (3x^2 - 75)
Part D. Find the horizontal and vertical asymptotes of ?(?)=
(x^3 - 6) / (x^2 + 14x + 49)
1, Let f(x)=x^4-4x+10 Find the intervals of increase and
decrease. A well labeled sign chart is usually enough here.
2, For the same function find relative extrema as ordered
pairs.
3, For the same function find intervals of concavity (concave
up/down) and any inflection points as ordered pairs.
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.