Differentiate the following:y = cos (tan x) - Mathematics

Differentiate the following:
y = cos (tan x)

योग

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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अध्याय 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.3 [पृष्ठ १६३]

अध्याय 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.3 | Q 3 | पृष्ठ १६३

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