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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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Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable

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$\frac{d}{dx}\left(y^x\right)=\frac{d}{dx}\left(x^y\right)$

Learn how to solve problems step by step online. Find the implicit derivative d/dx(y^x=x^y). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative \frac{d}{dx}\left(y^x\right) results in \frac{y^x\ln\left(y^x\right)}{1-x}. The derivative \frac{d}{dx}\left(x^y\right) results in \frac{x^{\left(2y-1\right)}}{1-x^y\ln\left(x\right)}. Simplify the derivative.

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