Find the points on the curve `(x^2)/4+(y^2)/(25)=1` at which the tangents are parallel to the x-axis and y-axis.

Explanation

To find the points on the curve \(\frac{x^2}{4} + \frac{y^2}{25} = 1\) where the tangents are parallel to the x-axis and y-axis, we will follow these steps:

### Step 1: Identify the condition for tangents parallel to the x-axis
A tangent is parallel to the x-axis when its slope is 0. Therefore, we need to find the points where \(\frac{dy}{dx} = 0\).

### Step 2: Differentiate the equation of the curve
We will differentiate the equation \(\frac{x^2}{4} + \frac{y^2}{25} = 1\) implicitly with respect to \(x\):
\[
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