I was wondering if someone could help me out.
I was given the function f(x,y)=squareroot(1+ x^2 + y^2) and asked to find the slope of a tangent to a level curve at point (-2,2).
I have managed to work out the gradient of f at (-2,2) to be (-2/3, 2/3), and I know it has to be orthogonal to the tangent, but I am unsure as to how to work out the slope of the tangent.
Would appreciate your help
Originally Posted by Pandora
Thank you. Would you mind working it out from the facts? I am pretty horrible at implicit differentiation.