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**Unformatted text preview: **y and avoid implicit differentiation. However, that won’t always be the case. For example it is difficult to express y as a function of x explicitly if 3 3 2 1 x y y-+ = . Example 2 : Differentiating with respect to x : (a) 3 2 x (b) 2 3 y (c) x y + 2 (d) xy 2 1 Example 3 : Use implicit differentiation to find ' y : (a) 2 2 1 x y + = (b) 2 5 3 x xy y-+ = 2 (c) 3 1 2 x y xy + = + (d) 5 2 6 3 2 x y-= 3 Example 4 : Find the tangent line to the graph given by 2 2 2 2 ( ) x x y y + = at the point 2 2 , 2 2 . 4...

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