Find the derivative of the following function: x / (1 + tan x)

Solution:

The given function is f(x) = x / (1 + tan x)

Its derivative using the quotient rule is,

d/dx (f(x)) = [ (1 + tan x) d/dx (x) - x d/dx (1 + tan x) ] / (1 + tan x)2

= [ (1 + tan x) (1) - x (0 + sec2x) ] / (1 + tan x)2 (using derivative formulas)

= [ 1 + tan x - x sec2x ] / (1 + tan x)2

NCERT Solutions Class 11 Maths Chapter 13 Exercise ME Question 28

Find the derivative of the following function: x / (1 + tan x)

Summary:

The derivative of the given function x / (1 + tan x) is [ 1 + tan x - x sec2x ] / (1 + tan x)2

Math worksheets and
visual curriculum