Find the coordinates of the point p on the parabola y=1-x^2 with domain 0≤x≤1 that minimize the area of the triangle enclosed by the tangent line at p, the x-axis, and y-axis

Let point P be with coordinates Find the equation of the  tangent line.

1. If then

2. The equation of the tangent line at point P is

Find x-intercept and y-intercept of this line:

The area of the triangle enclosed by the tangent line at P, the x-axis, and y-axis is

Since point P is on the parabola, then and

Find the derivative A':

Equate this derivative to 0, then

And

two points:

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e.

step-by-step explanation:

because there are always 10 numbers in a phone number.