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Question
Differentiate the following:
y = tan 3x
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Solution
y = tan 3x
Put u = 3x
`("d"u)/("d"x)` = 3
Now y = tan u
⇒ `("d"y)/("d"x)` = sec2u
So `("d"y)/("d"x) = ("d"y)/("d"u) xx ("d"u)/("d"x)` = (sec2 u)(3)
= 3 sec2 3x
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