Find the Derivative of the given Function

[apcalckid76]

1.Sketch the Derivatie of the given Function



2. Help me find the derivative of the function



3. I said that the derivative will begin at the origin, then slope down vertically, then continute shortly horizontally, then go back up the "X" axis and continue horizonally.

http://imageshack.us/a/img717/7821/img20121020142636.jpg

Homework Statement

THanksss

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

welcome to pf!

hi apcalckid76! welcome to pf!

3. I said that the derivative will begin at the origin, then slope down vertically, then continute shortly horizontally, then go back up the "X" axis and continue horizonally.

nooo

try this part …

what does the graph of the derivative of just the slopey part in the middle look like?​

 

[apcalckid76]

http://imageshack.us/a/img10/5516/img20121021084205.jpg



This is my answer...my physics teacher helped me solve it but I am not sure if its right or not.

 

[tiny-tim]

yes, that's right

the three parts of the original graph are straight,

so that means their derivatives (= the slopes) are constant,

so the graph of the derivative is three horizontal lines, at levels 0 minus-something and 0 again







:

 

[apcalckid76]

THANK YOU! I really appreciate it Tim thanks!