# Differentia

Let, y =

We have to find dy/dx

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

u = ex + sin x and v = 1 + log x

y = u/v

As we know that to find the derivative of fraction of two function we apply quotient rule of differentiation.

By quotient rule, we have –

…equation 1

As, u = sin x + ex

, so we get –

…equation 2

As, v = 1 + log x

…equation 3 { }

from equation 1, we can find dy/dx

{using equation 2 and 3}

Hence,

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