f(x)= x5 − 5x
Find the x− and y−intercept, critical numbers, increasing and
decreasing intervals, local...
f(x)= x5 − 5x
Find the x− and y−intercept, critical numbers, increasing and
decreasing intervals, local minimum and maximum, f''(x), intervals
of concavity up and down, and inflection points.
For the function f(x)=x^5-5x^3 determine:
a. Intervals where f is increasing or decreasing
b. Local minima and maxima of f,
c. Intervals where f is concave up and concave
down, and,
d. The inflection points of f
e. Sketch the curve and label any points you use in your
sketch.
For Calculus Volume One GIlbert Strange
given the function y=x+cosx on the interval [0,2pi] find the
intervals of increasing and decreasing, local or absolute
extrema(s), the intervals of concavity and the inflection points.
use the information to sketch the graph of y=x+cosx on the interval
[0,2pi]
a) Find the intervals over which f is increasing or
decreasing.
b) Find the local maximum and minimum values of f.
c) Find the concavity intervals and the inflection points.
a. ?(?) = 2x 3 + 3? 2 − 26?
b. ?(?) = 4x 3 + 3? 2 − 6? + 4
c. ?(?) = ? 4 − 2? 2 + 1
f(x) = 7xex
(a) Find the intervals on which f is increasing or
decreasing. (Enter your answers using interval notation.)
(b) Find the local maximum and minimum values of f. (If an
answer does not exist, enter DNE.)
(c) Find the intervals of concavity and the inflection points.
(Enter your answers using interval notation.)
1) Find the intervals of increasing and decreasing for f(x) =
2x3 – 4x2.
2) Find the local minimum and maximum points, if any,
of
f(x) = 2x3 – 15x2 + 36x – 14. 3) Find the inflection points, if
any, of f(x) = 2x3 – 15x2 + 36x – 14. Give the intervals of
concavity upward and downward for f(x). 4) Find the absolute
maximum and minimum of f(x)= 2x3 – 15x2 + 36x – 14 on the interval...
f(x) =2x^5-5x^4-10x^3+1 is defined as all real numbers
a) find the intervals where F is increasing and
decreasing
b) find the intervals where F is concave up and concave
down
c) find the local maximum, minimum and the points of
inflection.
d) find the absolute maximum and minimum of F over
[-2,2]
1. Find where f(x)= x^5-5x^4
is increasing/decreasing, concave up/down, and the
location of any local max or min or points of inflection.
A good explanation would be great!
Discuss the curve y = x^3/1+x^2 with respect to intervals of
increasing and decreasing, local maximal and minimal points,
intervals of concavity, and points of inflection. Use this
information to sketch the curve.
For f(x)= cos2x + sinx, find the intervals where the
function is increasing, decreasing, relative extrema, concavity,
and points of inflection on the interval [0,2π)