Let, y = ex log √x tan x = ex log x1/2 tan x = 1/2 ex log x tan x
We have to find dy/dx
As we can observe that y is a product of three functions say u, v & w where,
u = log x
v = ex
w = tan x
∴ y = 1/2 uvw
As we know that to find the derivative of product of three function we apply product rule of differentiation.
By product rule, we have –
∴ from equation 1, we can find dy/dx