Final answer to the problem
$y^{\prime}=\frac{-y}{x}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Can't find a method? Tell us so we can add it.
1
Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable
Learn how to solve problems step by step online.
$\frac{d}{dx}\left(1+xy\right)=\frac{d}{dx}\left(e^{xy}\right)$
Learn how to solve problems step by step online. Find the implicit derivative d/dx(1+xy=e^(xy)). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. Applying the derivative of the exponential function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=y. The derivative of the linear function is equal to 1.
Final answer to the problem
$y^{\prime}=\frac{-y}{x}$
