# Differentiate the following functions with respect to x: (x tan x)/(sec x + tan x)

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Differentiate the following functions with respect to x:

(x tan x)/(sec x + tan x)

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As we can observe that y is a fraction of two functions say u and v where,

u = x tan x and v = sec x + tan x

∴ y = u/v

As we know that to find the derivative of fraction of two function we apply quotient rule of differentiation.

By quotient rule, we have –

∵ u is the product of two function x and tan x, so we will be applying product rule of differentiation –

∴ from equation 1, we can find dy/dx