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