1. Given f (x) = 415x + e-*, find i) the critical numbers, ii) interval(s) of...
2. Given f(x) = - x2 – 15x, find i) the critical numbers, ii) interval(s) of increase/decrease, ii) local extrema, iv) inflection point(s) if any.
2. Given f(x) = - x2 – 15x, find i) the critical numbers, ii) interval(s) of increase/decrease i) local extrema, iv) inflection point(s) if any.
5. Given the function f(x)=x4 - 4x3 a) find f'(x) and the critical numbers of f. b) determine the interval(s) on which the graph off is increasing c) find f"(x) and the x-coordinates of the possible inflection points d) determine the interval(s) on which the graph off is concave down.
Find all critical numbers of the function f(x) = (x - 9). Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The critical number(s) is/are at x = There is no local maximum and no local minimum. (Type an integer or a simplified fraction. Use a comma to separate answers...
2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first derivative b.) find the second derivative c.) find the functions critical values(if any). include their y- coordinates in your answers in order to form critical points. d. )find the intervals on which f is increasing or decreasing. e. )find the local extrema of f. f. )find the functions hyper critical values(if any). include their y coordinates g.) find the intervals of concavity, i.e. the...
7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of this function. Show your work. (b) Characterize each of the critical points as a local maximum, a local minimum or neither. Show your work. (c) Find all of the inflection points of this function (verify that it/they are indeed inflection points). (d) On what interval(s) is this function both decreasing and concave down? on the interval -15xs1. Show (e)Find the global maximum and minimum...
a-i pls thank you 13. A function is given below along with both its first and second derivatives. f(x) 2x+4 2x+3 (x+1) 4x+10 Find the following for this function: (a) the domain (b)x and y-intercepts (c) vertical anf horizontal asymptotes (d) critical numbers (e) intervals of increase and/or intervals of decrease (1) local extreme values (2) inflection points (h) intervals of concave up and concave down (1) graph the function and carefully label the y-intercept, local extrema, and point(s) of...
1. Find the absolute maximum and absolute minimum of the function f(x) = x + 2 on the interval [16] 2. For the function f(x) = 3x48x3 +17, find a Intervals of increase, interrels of decrease, and local extrema. b. Intervals of concave upward, intends of concave dowward, and inflection points
f(x) = x - 7x11 (A) Find all critical values of f . If there are no critical values, enter - 1000. If there are more than one, enter them separated by commas. Critical value(s) = 0,1 (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WebWork, you use I for 00, -I for -00, and U for the union symbol. If there are no values that satisfy the required condition, then enter")"...
x²-7 Find all critical numbers of the function y=7-4,#4. Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum Select the correct choice below and fill in any answer boxes within your choice. O A. The local maxima occur at x = and the local minima occur at x = (Type an integer or simplified fraction. Use comma to separate answers as needed.) OB. The local maxima occur at x...