e^xy=4
ln both sides
xy=ln4
divide x
y=(ln4)/x
differentiate
quotient rule
y=[tex] \frac{ \frac{1}{4}x-1ln4 }{x^2}[/tex]
input 1 for x
y=[tex] \frac{ \frac{1}{4}1-ln4 }{1^2}[/tex]
y=[tex] \frac{ \frac{1}{4}-ln4 }{1}[/tex]
y=[tex] \frac{1}{4}-2ln2[/tex]
the slope is [tex] \frac{1}{4}-2ln2[/tex]
