2. _Given f(x) = x - 7x? -5x + 2 a. Find all critical numbers. 5....
Consider the following function. f(x) = 5x + 81 - 2 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x,y) = relative minimum (X,Y)...
(10 points) Find the critical numbers of the function f(x) = (x - 3) 323/2 (15 points) Find the absolute maximum and absolute minimum values of f(x) = interval (0,3) 2-1+1 on the
13. Find the critical values of the function, f(x) = 2x - 3x - 36x + 12. Use the critical values to find the absolute min and max on the interval (-5,5). delle cos de
Find the critical numbers of the function anddescribe the behavior of f at these numbers. (List youranswers in increasing order.) f(x) =x10(x -1)9 At the function has ( local min orlocal max or neither ) At the function has ( local min orlocal max or neither ) At the function has ( local min orlocal max or neither )
(5 points) Let f(x) = 5x2e-3x (a) Find all critical numbers of f. (b) Find the x-coordinates of the inflection points on the graph of f. (c) Fill out the chart below and roughly sketch the graph of y = xée 2* Interval Test value x Sign of f'(x) Sign of F"(x) Concavity Rough Graph
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5) Hint: Do not expand! Instead use the product and chain rules then factor 2. (12 points) Find the absolute extrema of f(x) = on (-1,2). Give your answers as (x,y) points. Hint: It is much easier to take the derivative of f(x) by rewriting as f(x) = (1 + x4)-1 and use the chain rule 3. f(x) = ? - 7x + 1 (a)...
Let f(x)=x^3−(3/2)x^2 on the interval [−1,2]. Find the absolute maximum and absolute minimum of f(x) on this interval. The absolute max occurs at x= . The absolute min occurs at
(1 point) Find and classify the critical points of)(x) = 7x*(3 - 2)* as local maxima and minima. Critical points: Classifications: (Enter your critical points and classifications as comma-separated lists, and enter the types in the same order as your critical points. Note that you must enter something in both blanks for either to be evaluated. For the types, enter min, max, or neither
Find the requested composition of functions. Given f(x) = 7x + 11 and g(x) = 5x - 1, find (f ∘ g)(x).
(5) (20p) Find and classify the critical points of f(x, y) = 7x - 8y + 2xy - x + y®