matthewantvenom2 matthewantvenom2
  • 18-03-2019
  • Mathematics
contestada

Can the mean value theorum be applied to the function f(x)=1/x^2 on the interval [-2, 1]? Explain.

Respuesta :

ShyzaSling
ShyzaSling ShyzaSling
  • 18-03-2019

Answer:

No, it can not be applied.

Step-by-step explanation:

f(x) = 1/x²

f(x) is a polynomial that is not continuous

As,

f(x) = 1/0 is undefines

Secondly, it is not differentiable (i.e. the derivative does not exists on the interval given)

Derivative of this function

f'(x) = (1)x^-2

       = -2x^(-2-1)

       = -2x^(-3)

       = -2/x³

      =  -2/x³

f'(0) = -2/0 is undefined

Thus, mean value theorem can not be applied.

Answer Link

Otras preguntas

What is the net decimal equivalent of the series 30/25/15. round to the nearest thousandths?
Marty's plant measured 7.35 inches at the beginning of the summer. It measured 8.125 inches at the end of summer. How much did Marty's plant grow over the
Please answer the question!!?
Help me please, I’m also on a timer
which of the following csn be said about the use of agriculture
Which of these solutes raises the boiling point of water the most? A. molecular sucrose (C12H22O11) B. ionic sodium chloride (NaCl) C. ionic potassium bromid
To meet a college entrance requirement you must join another afterschool club which of the following is the best for your health and safety
voici ou voila ma mere?
Which of the following is not a common instruction format? A. Calendar. B. Flowchart. C. If-then table. D. Paragraph
I have no clue what to do, HELP!!