4. (14) Use the second derivative test to find the local max and local min values...
4. (14) Use the second derivative test to find the local max and local min values of f(x)=xsin x+cosx on the interval 4 - Зл 9
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...
Find the following values Answer choices for C: Point of Inflection Local Max Local Min Zero Answer choices for D 1. is continuous is not continuous does not exist 5. POI local max local min zero The graph of of f(t) is given below. f(t) is a semicircle for 4 < t < 6. Let g(x) = { $(t)dt a. Find the following values. 1. g( - 1) = 2. g(1) = 3. g(4) = 4. 9(6) = b. Find...
Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the First Derivative Test. f(x) = x+ +8x? - 10 Answer Enter any local extrema as an ordered pair, and separate multiple answers with commas. Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selec Local Maxima: No Local Ma No Local Mini w
Will rate, please help!!! - Use the First Derivative Test to find a) the intervals over which f(x) is increasing and decreasing, and b) the local extrema (mins and maxes) of FC). Write your answers as intervals and ordered pairs. You must show your work to receive credit; simply writing the answer will indicate that you used technology and will not be counted as a valid attempt. Hint: Drawing and labelling a number line is useful. f(x) = x +...
(1 point) Find the critical points of f(x) and use the Second Derivative Test of possible) to determine whether each corresponds to a local minimum or maximum. Let f(x) = x exp(-x) e lest ? Critical Point 1 - Critical Point 2 - is what by the Second Derivative Test? is what by the Second Derivative Test?
help ASAP for my test Suppose we are investigating max./min. behavior of a function (1). We intend using the first derivative test, and have gleaned the following information in preparation for applying the test. Interval Test value Sign behavior of f'() of !") of (2) 7-20,-2) f'(-10) = -0.5 (-2,0) f'(-1) = -3 (0,2) SO = 2 + (2,00) f'(5) <0 Apply the first derivative using the information in the table to select the appropriate conclusion for each critical point....
Find the critical points of the following functions. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. 1. f(x, y) = 4.cy - 24 – 44
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second derivative of f(x) (b) (2 pts) Confirm that x =-1 is a critical point of f(x). (Evaluate f'(-1), and make a conclusion. (c) (4pts) Use the second derivative test to classify -1 as a local max. or a local min. If the second derivative test is inconclusive, then say so....
(a) Use the second derivative test to find and classify the critical points for the following function. Don’t forget to find the Y-coordinate of the local extremas. f(x) = e x−4 (x 2 − 10x + 17) (b) Find the area enclosed between the curves √ x and x 3 . (You need to sketch the graphs) f(x) = e*-4.x? 10x + 17). vr and 2.3.