Final answer to the problem
$\frac{-1}{ye^{\frac{x}{y}}}$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
Applying the derivative of the exponential function
Learn how to solve basic differentiation rules problems step by step online.
$e^{\frac{-x}{y}}\frac{d}{dx}\left(\frac{-x}{y}\right)$
Learn how to solve basic differentiation rules 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 -1.
Final answer to the problem
$\frac{-1}{ye^{\frac{x}{y}}}$
