Thread: Implicit differentiation

Stuck on this: A curve has the equation . Find the gradient at the point (2,2).

Originally Posted by Beard

Stuck on this: A curve has the equation . Find the gradient at the point (2,2).

You can differentiate both sides with respect to x remembering that y is a function of x.



(N.B> I used the product rule on the second term )

Simplifying you get



Now just substitute , and you have the value of , which is the gradient.

HTH