Let, y = {∵ cos π/4 = 1/√2 }

We have to find dy/dx

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

u = x² and v = cosec x

∴ y = (1/√2) uv

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

By product rule, we have –

…equation 1

As, u = x²

∴ …equation 2 {∵ }

As, v = cosec x

⇒ …equation 3 {∵ }

∴ from equation 1, we can find dy/dx

∴

⇒ {using equation 2 & 3}

Hence,