If f(x) = cscx, find f""(pi/3)

Question

zepdrix · Answer

Hey Camila c:
Where you gettin stuck?
Able to find your first derivative?

zepdrix · Answer

How many ticks is that on the f?
Is that 4?
It's hard to read them when they're all jammed together like that >.<

anonymous · Answer

Sorry it was only to be 2 ticks. Im not sure where to start with this problem. Do I change it to -cscxcotx and then do the product rule?

zepdrix · Answer

Mmm yah your first derivative looks good :)
Yessss, product rule for the second derivative.$$\Large\rm f''(x)=\color{royalblue}{\left(-\csc x\right)'}\cot x-\csc x\color{royalblue}{\left(\cot x\right)'}$$

anonymous · Answer

And from there I plug in my value for pi/3 into that equation right?

zepdrix · Answer

Well you have to take the derivative of the blue parts first.
I only setup the product rule.

But yes, after you've got that taken care of, plug in the pi/3's

anonymous · Answer

Okay thank you so much!

zepdrix · Answer

k c: