Question #920f7
1 Answer
Aug 10, 2017
Explanation:
We're asked to find the derivative
#d/(dx) [-csc^2x]#
Let's first use the chain rule:
#d/(dx) [-csc^2x] = -d/(du) [u^2] (du)/(dx)#
where
-
#u = cscx# -
#d/(dx) [u^2] = 2u# :
#= -2cscxd/(dx)[cscx]#
The derivative of
#= -2cscx(-cotxcscx)#
Or
#= color(blue)(ulbar(|stackrel(" ")(" "2cotxcsc^2x" ")|)#
