What is the equation of the line that is normal to #f(x)= x/sqrt( x^2-2) # at # x=2 #?
I always prefer to rewrite my functions so I can simply use the Product Rule.
Find the derivative to find the slope of the tangent line at
To find the normal slope, we take the negative reciprocal of our tangent slope.
We can now construct an equation using a basic point-slope formula: