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

@nuts

Answer 9

An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, a

Answer 10

i need some answers checked 2: Electric boogaloo

Answer 11

A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measure the angle of depression to the Groveburg soccer fields

Answer 12

i need some answers checked

Answer 13

What is the difference of the given values to the correct level of precision?

8.501 cm
u20130.27 cm

8 cm
8.2 cm
8.23 cm
8.231 cm

Answer 14

Math quest(For fun)

Answer 15

Antony
Over thy wounds now do I prophesy,--
Which, like dumb mouths, do ope their ruby lips,
To beg the voice and utterance of my tongue--

What simile d

Answer 16

u201cPeople said that Gypsies spent their lives tricking others. It was also said that they had a pact with the devil, and that they kidnapped children and,

Answer 17

Which sentences use semicolons correctly?
April loved hiking; she also excelled at gymnastics.

Answer 18

blah blah blah

Answer 19

Getting rid of denominators inside a log function:

Answer 20

i need some help

Answer 21

Think about the novel or short story you read for Module Five. What is the theme?
Cite quotations and page numbers from your novel or short story to suppor

Answer 22

MCAT Tutorial: Alcohols & Phenols

Answer 23

Refer to the dog weights box-and-whisker plot in answering the question.

In which quarter are the data least concentrated?

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Answer 24

The cooling curve below represents the cooling of a sample of gas. According to t

Answer 25

i need some answers checked

Answer 26

Which is the better measure of center to summarize the hours people spent jogging?

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Answer 27

- than i have the easiest way getting primes using my formula
- may be possible