Practice problem
Differentiate xy=yxx^y=y^xxy=yx
y′=x(xlny−x)y(ylnx−y)y'=\frac{x(x\ln y-x)}{y(y\ln x-y)}y′=y(ylnx−y)x(xlny−x)
y′=x(xlny−y)y(ylnx−x)y'=\frac{x(x\ln y-y)}{y(y\ln x-x)}y′=y(ylnx−x)x(xlny−y)
y′=y(xlny−y)x(ylnx−x)y'=\frac{y(x\ln y-y)}{x(y\ln x-x)}y′=x(ylnx−x)y(xlny−y)
y′=y(xlny−x)x(ylnx−y)y'=\frac{y(x\ln y-x)}{x(y\ln x-y)}y′=x(ylnx−y)y(xlny−x)
Type a concept, like “slope” or “photosynthesis”.