Final Answer
$\frac{-e^{\frac{-x}{y}}}{y}$
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Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(e^{\frac{\left(-1\right)\cdot x}{y}}\right)$
Specify the solving method
1
Applying the derivative of the exponential function
$e^{\frac{-x}{y}}\frac{d}{dx}\left(\frac{-x}{y}\right)$
Learn how to solve differential calculus problems step by step online.
$e^{\frac{-x}{y}}\frac{d}{dx}\left(\frac{-x}{y}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of e^((-x)/y). Applying the derivative of the exponential function. The derivative of a function multiplied by a constant (\frac{1}{y}) is equal to the constant times the derivative of the function. The derivative of the linear function times a constant, is equal to the constant. Multiplying the fraction by -e^{\frac{-x}{y}}.
Final Answer
$\frac{-e^{\frac{-x}{y}}}{y}$