Q. 10

# Differentia

Let, y =

We have to find dy/dx

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 –

…equation 1

As, u = x tan x

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

[using product rule]

, So we get –

…equation 2

As, v = sec x + tan x

& , so we get –

…equation 3

from equation 1, we can find dy/dx

using equation 2 and 3, we get –

Hence,

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