Given f(x) = x^4 - 4x^3 1) find the intervals on which f is increasing or...

Given f(x) = x^4 - 4x^3

1) find the intervals on which f is increasing or decreasing.
2) find the local maximum and minimum values of f.
3) find the intervals of concavity and the inflection points

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

a) Let f(x) = −x^4 − 4x^3 . (i) Find the intervals of increase/decrease of f....

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...

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)

1. You are given the function f(x) = 3x^4 + 4x^3 a) Find the x and...

1. You are given the function f(x) = 3x^4 + 4x^3 a) Find the x and y- intercepts. b) Find the critical number(s) of f. c) Find the interval(s) of increase and decrease of f. d) Find the relative maximum and minimum value(s) of f. e) Find the hypercritical number(s) of f. f) Find the interval(s) of upward and downward concavity of f. g) Find the point(s) of inflection of f. h) Sketch the graph of f. 2. You are...

1) Find the intervals on which f is increasing and the intervals on which it is...

1) Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)= -x^3-6x 2) Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)= x^4/4+x^3+x^2 3) Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f(x)= -x^3-3x^2

f(x) = x4 − 128x2 + 7 (a) Find the intervals on which f is increasing...

f(x) = x4 − 128x2 + 7 (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) local minimum value local maximum value (c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.) concave up concave down inflection point (x, y) = (smaller x-value) inflection point ...

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which...

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which f is increasing/decreasing and identify any local extrema. (b) Find the intervals on which f is concave up/down and find any inflection points. B. Consider the function f(x) = sin(x) + cos(x). Find the absolute minimum and absolute maximum on the interval [−π,π].

f(x) = 7xex (a) Find the intervals on which f is increasing or decreasing. (Enter your...

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.)

Suppose f ' (x) = x2 - 8x + 15 = (x - 3) (x - 5) (a) Identify the intervals of x-values on which f is increasing and the intervals on which f is decreasing.

Suppose f ' (x) = x2 - 8x + 15 = (x - 3) (x - 5)(a) Identify the intervals of x-values on which f is increasing and the intervals on which f is decreasing.(b) Locate where the local maximum point and the local minimum point occur.(c) Identify the intervals of x-values on which f is concave up and the intervals on which f is concave down.(d) Locate any points of inflection.

1, Let f(x)=x^4-4x+10 Find the intervals of increase and decrease. A well labeled sign chart is...

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.

f(x) =2x^5-5x^4-10x^3+1 is defined as all real numbers a) find the intervals where F is increasing...

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]

Subjects