Find the equation of tangent and normal to the curve ` x^((2)/(3))+y^((2)/(3))=2` at (1,1)

Explanation

To find the equations of the tangent and normal to the curve \( x^{\frac{2}{3}} + y^{\frac{2}{3}} = 2 \) at the point \( (1, 1) \), we will follow these steps:

### Step 1: Differentiate the curve implicitly
We start with the equation of the curve:
\[ x^{\frac{2}{3}} + y^{\frac{2}{3}} = 2 \]
Differentiating both sides with respect to \( x \):
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