2. Given f(x) = - x2 – 15x, 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.
1. Given f (x) = 415x + e-*, find i) the critical numbers, ii) interval(s) of increase/decrease, ii) local extrema.
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...
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.
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 point) Consider the function f(x) = x2 - 4x + 2 on the interval [0,4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval. on f(x) is on [0, 4); f(x) is (0, 4); and f(0) = f(4) = Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of се (1 point) Given f(x)...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
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...
Given: f(x) = x3+ x2+4x find the following:a) Relative extrema b) Table of values c) x-intercepts (if any) d) y-intercept e) Domain f Range g) Interval(s) increasing h) Interval(s) decreasing i) Find All zero s ) Factor completely k) Graph
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