Answer :
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 and v = 1 + 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
{∵
∴ …equation 2
As, v = 1 + tan x
∵ ,
so we get –
…equation 3
∴ from equation 1, we can find dy/dx
∴
⇒ {using equation 2 and 3}
⇒
Hence,
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