Q. 85.0( 2 Votes )

Differentiate the following functions with respect to x:

Answer :

Let, y =

We have to find dy/dx

As we can observe that y is a product of three functions say u, v & w where,

u = x – 1/2

v = 2x

w = cot x

y = 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 = x – 1/2

…equation 2 { }

As, v = 2x

…equation 3 { }

As, w = cot x

…equation 4 { }

from equation 1, we can find dy/dx

using equation 2, 3 & 4,we have –


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