Question 3. Is x = 0 a relative extrema for function f: RR that is given...
Is x = 0 a relative extrema for function f : R → R that is given
by f(x) = sinx − cosx − 1/2(1 + x)^2
Question 3. Is x = 0 a relative extrema for function f:R + R that is given by 1 COS X f(x) = sin x (1 + x)? 2 Prove your claim. State any theorem that is applied in your proof.
1) find the relative extrema of the function f(x) = x^2+1/x^2 2) find relative extrema of the function and classify each as a maximum or minumum: f(x) = x^3-12x-4
Suppose that the function graphed below is f(x). Find the locations of all relative extrema of f(x), and tell whether each extremum is a relative maximum or minimum Select the correct choice below and, if necessary, fill in the answer box(cs) to complete your choice. Af(x) OFIN O A. The function f(x) has a relative minimum at x = and has no relative maximum. (Round to the nearest Integer as needed. Use a comma to separate answers as needed.) The...
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where the function has any re tox)-x-18x2-4 First find the derivative of f(x) Now find any critical numbers of t(x) (Use a comma to separate answers as needed) O B. There are no critical numbers of fx) in any answer boxes within your choice O A. O B. The function has a relative maximum of O C. 0 D. There are no relative extrema es...
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x) = x- 14x + 49 X-10 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. and a relative minimum of at x = 1. O A. The function has a relative maximum of at x = (Use a comma to separate answers as needed.) at x = . OB. There are no...
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x)= x3-3x2 9x-1 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. The function has a relative maximum of (Use a comma to separate answers as needed.) B. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) O C. There...
Apply the second derivative test to find the relative extrema of the function f(x)=ln(x2+x+1)
LarCAApCalci 8.5.004. [1088496] Question Details Find all relative extrema of the function. (Enter NONE in any unused answer blanks.) f(x) - - 6x2 + 6x + 7 Relative maximum
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers of f, if any. (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 х decreasing X (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (X,Y)...
3. Let f be a continuous function on [a, b] with f(a)0< f(b). (a) The proof of Theorem 7-1 showed that there is a smallest x in [a, bl with f(x)0. If there is more than one x in [a, b] with f(x)0, is there necessarily a second smallest? Show that there is a largest x in [a, b] with f(x) -0. (Try to give an easy proof by considering a new function closely related to f.) b) The proof...