# Differentiate the following functions with respect to x: (e^x + sin x)/(1 + log x)

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Differentiate the following functions with respect to x:

(ex + sin x)/(1 + log x)

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

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

By quotient rule, we have –

∴ from equation 1, we can find dy/dx