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Applying the derivative of the exponential function
Learn how to solve limits of exponential functions problems step by step online.
$e^{\frac{1}{x}}\frac{d}{dx}\left(\frac{1}{x}\right)$
Learn how to solve limits of exponential functions problems step by step online. Find the derivative of e^(1/x). Applying the derivative of the exponential function. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The derivative of the constant function (1) is equal to zero. Any expression multiplied by 0 is equal to 0.