# Differentiate the

Let, y = xn log a x

We have to find dy/dx

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

u = xn and v = log a x

y = 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 = xn

…equation 2 { }

As, v = loga x

…equation 3 { }

from equation 1, we can find dy/dx

{using equation 2 & 3}

Hence,

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