Q. 35.0( 3 Votes )

Differentiate the following functions with respect to x:

x2 ex log x

Answer :

Let, y = x2 ex log 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 = x2

v = ex

w = log 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 = x2

…equation 2 { }

As, v = ex

…equation 3 { }

As, w = log x

…equation 4 { }

from equation 1, we can find dy/dx

{using equation 2, 3 & 4}


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