Question

Differentiate tant x²
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Answer 1

Answer:

y= tan ( x 2 ) = tan(u)

tan ( u )

∴ d y /d u = sec 2 ( u ) = sec 2 ( x 2 )

 u = x 2 , ∴ d u /d x = 2 x

Use the chain rule...

d y /d u ⋅ d u/d x = 2 x⋅ sec 2 ( x 2 ) = d y/ d x

Remember that:

If  y = tan x ,  d y/d x = sec 2 ( x )

It's a general rule.

Hope it helps :)