Question

if f(x)=maximum (cos x,1/2, {sin x}) , o<=x<=2 pi where { . } represents fractional part function then
1. number of points where f(x) is not differentiable

Answer 1

@ganeshie8 ?

Answer 2

@ParthKohli ?
@mathmale ?
@aaronq ?
@abb0t ?
@babymambo13 ?
@CO_oLBoY ?
@dan815 ?
@eliassaab ?
@Freelance1 ?
@Hero ?
@iambatman ?
@jcpd910 ?
@Kainui ?
@Luigi0210 ?

Answer 3

I am not studied in trig.

Answer 4

ok

Answer 5

i have made the graph but not sure how to check the differentiability

Answer 6

If you have already made the graph then check CORNER points in the graph,that is your answer.

Answer 7

can u show ur graph so that i can compare mine with that

Answer 8

@DLS ?

Answer 9

\[\Large f(x)=\max (\cos x,1/2, {\sin x}) , o<=x<=2 \pi\]
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This is the graph of cosx in the given domain.
http://i.imgur.com/svEYdwT.png
This is the graph of {sinx} in the given domain.
http://i.imgur.com/DwfBAxf.png
And lastly this is 1/2
http://i.imgur.com/ax3XEWz.png
------------------------------------
So now,we will draw the final graph of maximum of the function
-------------------------------------
http://i.imgur.com/yUfpJOJ.png (the pink lines)

Answer 10

So as you see there are 2 corner points right? (where the function definition changes) so the answer should be 2 (most probably).
Do you have the answer?Did your graph match?
Did you get it?

Answer 11

i guess the graph of {sin x } is not correct

Answer 12

it will either be 0 or 1 so the lines are correct

Answer 13

why will it be 0 or 1 it is not a greatest integer function

Answer 14

{sin pi/6}=0.5

Answer 15

oops sorry! give me a second!

Answer 16

ill correct it in a second

Answer 17

can you draw out your graph ?

Answer 18

where to draw it ?

Answer 19

wait,let me draw mine u check

Answer 20

this should be the final graph,prettier than anything!