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Question
Differentiate the following:
y = cos (tan x)
Solution
Put u = tan x
`("d"u)/("d"x)` = sec2x
Now y = cos u
⇒ `("d"u)/("d"x)` = – siin u
Now `("d"y)/("d"x) = ("d"y)/("d"u) xx ("d"u)/("d"x)`
= (– sin u)(sec2x)
= – sec2 (sin (tan x))
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