# How do you use the chain rule to differentiate #y = e^lnx#?

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However, since the question askes that we use the Chain rule:

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To differentiate ( y = e^{\ln(x)} ) using the chain rule, first recognize that ( e^{\ln(x)} ) is simply ( x ) because ( e ) and ( \ln ) are inverse functions. So, the derivative of ( y = e^{\ln(x)} ) with respect to ( x ) is the derivative of ( x ) with respect to ( x ), which equals ( 1 ). Thus, ( \frac{dy}{dx} = 1 ).

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