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

Expert Solution

In this question I have used first derivative to find the intervals of increasing and decreasing. In last question I have used second derivative test to determine whether they are local minima or local maxima. Hope you understand.

Thank you

Please like

milcah answered 2 years ago

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 ...

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

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.)

a) Find the intervals over which f is increasing or decreasing. b) Find the local maximum...

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

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find...

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...

1. Find the intervals on which the graph of f is concave upward, the intervals on...

1. Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the inflection points. f(x)= -x^4 + 12x^3 - 12x + 19 For what interval(s) of x is the graph of f concave upward? 2. For the function f(x)= (8x-7)^5 a. The interval(s) for which f(x) is concave up. b. The interval(s) for which f(x) is concave down. c. The point(s) of inflection.

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.

Question

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

Solutions

Expert Solution

Related Solutions