Question

if f(x)= sec x then f ' (x) = ?
.....................................................

Answer 1

given
f(x)=secx
f'(x)= d/dx(secx) = secxtanx

Answer 2

Answer:

f ' ( x )  = sec x tan x.

Step-by-step explanation:

Given:- f (x) = sec x.

To Find:- f ' ( x ) when f (x) = sec x

Solution:-

The derivative of sec x with respect to x is written as d/dx(sec x) and it is equal to sec x tan x. i.e., the differentiation of sec x is the product of sec x and tan x.

When a function is differentiate then it is denoted by f ' ( x ).

Here we need to differentiate f (x)  with respect to x.

It is given that f (x) = sec x

$\frac{d}{dx}$(sec x) = sec x tan x

∴ f ' ( x )  = sec x tan x.

Hence f ' ( x )  = sec x tan x.

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