# Find the derivative of the following function: (x + sec x) (x - tan x)

**Solution:**

The given function is f(x) = (x + sec x) (x - tan x).

Using the product rule, its derivative is,

d/dx (f(x)) = (x + sec x) d/dx (x - tan x) + (x - tan x) d/dx (x + sec x)

= (x + sec x) (1 - sec^{2}x) + (x - tan x) (1 + sec x tan x) (using derivative formulas)

NCERT Solutions Class 11 Maths Chapter 13 Exercise ME Question 29

## Find the derivative of the following function: (x + sec x) (x - tan x)

**Summary:**

The derivative of the given function (x + sec x) (x - tan x) is (x + sec x) (1 - sec^{2}x) + (x - tan x) (1 + sec x tan x)

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