# How do you differentiate #f(x)=xcscx# using the product rule?

##### 1 Answer

Dec 3, 2015

#### Answer:

#### Explanation:

Note:

Then derivative :

Note:

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given

# = 1* csc x + x*(-csc x cotx )#

#= csc x - x cscx cot x#

#color(red)(=cscx (1- xcotx)#

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**FYI:** How to derive derivative of

(using quotient rule)