Question

Check the differentiability of the function f(x)=x^2*{|cos(pi/x)|} at x=2

Answer 1

First\[|x|=\sqrt{x^2}\]
\[f(x)=x^2{|\cos(\frac{\pi}{x})|}=(x \sqrt{\cos(\frac{\pi}{x})} )^2 \]

Answer 2

well. I was trying use the formula F'(x)= lim h--->{2f(x+2) -f(h)}/h, but I messed up!
would you help me doing that?

Answer 3

\[f'(x)=\lim(h \rightarrow 0)(\frac{f(x+h)-f(x)}{h})\]

Answer 4

yeah

Answer 5

This function is not differentiable at x=2. The right hand derivative is not equal to the left hand derivative.

Answer 6

If x < 2 and close to 2
\[
\cos(\pi/x) <0
\]
If x > 2 and close to 2
\[
\cos(\pi/x) >0
\]

Answer 7

The derivative a left of 2 is
\[
u(x)=-\pi \sin \left(\frac{\pi
}{x}\right)-2 x \cos
\left(\frac{\pi }{x}\right)\\
v(2)=-\pi
\]
The derivative a right of 2 is
\[
v(x)=\pi \sin \left(\frac{\pi
}{x}\right)+2 x \cos
\left(\frac{\pi }{x}\right)\\
u(2)=\pi
\]

Answer 8

4 questons 3 to check 1 needs an answer

Answer 9

For this assessment you must complete a first draft of your narrative story based on "The Pomegranate Seeds.

Answer 10

How can this be fixed?

Answer 11

Looting during the hurricane:

After hurricane florence damaged some buildings in a neighborhood.

Answer 12

is this normal?

Answer 13

What does the mother's gift of the piano reveal about her character at the end of

Answer 14

Read the passage.

excerpt from u201cThe Pit and the Pendulumu201d by Edgar Allan Poe

So far, I had not opened my eyes.

Answer 15

Based on what we know of the play, Oedipus the King, which of the following lines is ironic?

OEDIPUS: What feeling brings you to me u2013 fear or desire?

Answer 16

Refer to Explorations in Literature for a complete version of this story.

In u201cThe Pit and the Pendulum,u201d the narrator explains, "The intensity of t

Answer 17

Based on what we know of the play, Oedipus the King, which of the following lines

Answer 18

Rewrite this excerpt from Thomas Jefferson's Virginia Statute for Religious Freedom in your own words in a more contemporary style.

Answer 19

what is the name of the famous narrow passageway between mountains that pioneers

Answer 20

After twenty years of US involvement in Vietnam, many Americans agreed with the c

Answer 21

After twenty years of US involvement in Vietnam, many Americans agreed with the c

Answer 22

calc help @shadow

Answer 23

When I'm playing gta and a dude snipes me through my penthouse

Answer 24

Can someone please help me analysis this speech please i have to find ethos, logos, pathos, and rhetorical devices

9/11 Address to the Nation
President Geo

Answer 25

Which theme in Hamlet is reinforced by the scene with the gravediggers?
A.
moral corruption
B.

Answer 26

40 u00d7 300 = 4 tens u00d7 3 hundreds
= 12 thousands
=

Answer 27

Which of the following statements is true about the U.S. Senate?

Its members have six-year terms, with one-third of the total members up for re-election ev