posted by .

Let f(x)=[x^3-9x]

[] --- absolute value

a. does f'(x) exist?
b. does f'(3) exist?
c. does f'(-3) exist?
d. determine all extrema of f.

I will be happy to critique your thinking. Remember, you need to work on either side of x=3 here, and on either side of x=-3.

## Similar Questions

hi what is lim as x reaches one of the function x/LN(x) is it one or does the limit it not exist. hi what is limit as x reaches one of the function x/LN(x) is it one or does the limit it not exist. Have you tried graphing it?
2. ### Math (easy question)

Given the function f(x) = 1/(sqrt x) a. Does f(x) exist at x=0?
3. ### calculus

find the value of the derivative (if it exist) at the indicated extrema. 1. f(x)=x^2/(x^2+4) at (0,0) 2. f(x)=(x+2)^(2/3) at (-2,0)
4. ### Calculus

find the absolute extrema if they exist as well as where they occur f(x)= x-1/x^2+3x+5
5. ### math calculus

Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) g(x) = (x^2 − 4)^2/3, [−5, …

4. lim (tanx)= x->pi/3 -(sqrt3) 1 (sqrt3) ***-1 The limit does not exist. 5. lim |x|= x->-2 -2 ***2 0 -1 The limit does not exist. 6. lim [[x]]= x->9/2 (Remember that [[x]] represents the greatest integer function of x.) 4 …
7. ### calculus

Which of the following best describes the limit as x approaches 4 of the quotient of 2 times x divided by the quantity negative 2 plus square root of x ?
8. ### calculus

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) …
9. ### calculus

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) …
10. ### Calculus

Find the value of the derivative of the function f(x)=7-|X| at the extrema point (0,7)?

More Similar Questions