Q. 175.0( 3 Votes )

Differentiate the

Answer :

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 –


…equation 1


As, u = log x


…equation 2 { }


As, v = ex


…equation 3 { }


As, w = tan x


…equation 4 { }


from equation 1, we can find dy/dx



using equation 2, 3 & 4,we have –



Hence,



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