Find the equations of the tangent and the normal to the curve `(x^2)/(a^2)+(y^2)/(b^2)=1` at `(x_1,\ y_1)` at the indicated points.

Explanation

To find the equations of the tangent and the normal to the curve \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\) at the point \((x_1, y_1)\), we will follow these steps:

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