Let ?(?) = (? − 5)√?. a) Find the intervals on which ?(?) is increasing and...

Question

Question

Let ?(?) = (? − 5)√?.

a) Find the intervals on which ?(?) is increasing and the intervals on which ?(?) is decreasing.

b) State the ?-values at which ?(?) has a local minimum or a local maximum and specify which.

Let ?(?) = ?^4 − 2?^3 + 3.

a) Find the intervals on which ?(?) is concave up and the intervals on which ?(?) is concave down.

b) State the x-values at which ?(?) has an inflection point.

Please explain the steps, thanks!

math calculus

Answer 1

Similar Homework Help Questions

Q-5: [5x1 marks] Let f(x) = 10 + (x – 2)4 a) Find f'(x) and f'(x)....

Q-5: [5x1 marks] Let f(x) = 10 + (x – 2)4 a) Find f'(x) and f'(x). b) Find the intervals on which f is increasing or decreasing. c) Find the local maximum and minimum of f, if any. d) Find the intervals on which the graph of f is concave up or concave down. e) Find the points of inflection, if any.
show work 2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing...

show work 2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
Please answer clearly and step by step, thank you!!!! 1. Below is a function f for...

Please answer clearly and step by step, thank you!!!! 1. Below is a function f for which f' and t” have already been computed for you. f(x) = 24 – 43% + 162 ' (t) = 4(x + 1)(x - 2) 2 f "(t) = 122(x – 2) (a) Find the intervals where f is increasing/decreasing (or write "none"). Also find the L-values where a local maximum/minimum occurs (or write "none.") Increasing on: Decreasing on: Local Max(s) at 2= Local...

show work 2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f...

show work 2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
For the following function f find the domain; the asymptotes ;intervals where f is increasing, decreasing, concave upward, concave downward

4. For the following function f find the domain; the asymptotes ;intervals where f is increasing, decreasing, concave upward, concave downward; local maximum, minimum and inflection points; sketch the graph: f(x) = 1/(x-1)3
Given f(x) = x² - 6x² + 9 + 1 a) Find the intervals over which...

Given f(x) = x² - 6x² + 9 + 1 a) Find the intervals over which f(x) is increasing and decreasing. 6 Find any local maximum and minimum c) Find intervals over which the graph off is concave upward, and concave downward. Id Find any inflection points. e) Use the above results to graph FX).

Let f(x) = x 3 _ 3x² a) The interval(s) on which the function is increasing...

Let f(x) = x 3 _ 3x² a) The interval(s) on which the function is increasing and the intervalls) on which the function f is decreasing B) The relative maximum value of f is and the relative minimum value of f is c) The intervalls) on which the function of is and the intervalls) on concave up which the function F is concare down D) The inflection Point(s) off
7x - 4 (1 point) Let f(x) = - 1. Find the open intervals on which...

7x - 4 (1 point) Let f(x) = - 1. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection x+4 points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as...
1-Find the local maximum value of f using both the First and Second Derivative Tests. f(x)...

1-Find the local maximum value of f using both the First and Second Derivative Tests. f(x) = x + √4 - x 2-Consider the equation below. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.) f(x) = 2x3 + 3x2 − 72x (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.) ( , ) ∪ ( , ) Find the interval on which f is decreasing. ( , ) (b) Find the local minimum and...

Consider the equation below. (If an answer does not exist, enter DNE.) FX) - - 2...

Consider the equation below. (If an answer does not exist, enter DNE.) FX) - - 2 - 15x + 4 (a) Find the interval on which is increasing (Enter your answer using interval notation) Find the interval on which is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of local minimum value local maximum value (c) Find the inflection point (X,Y) - Find the interval on which is concave up. (Enter your answer...