The slope of the tangent at point
is 
Further explanation:
Given:
The equation of the ellipse is 
The point
is on the ellipse and the tangent.
Explanation:
The given equation of the ellipse is 
Now differentiate the equation of ellipse with respect to
.

Further solve the above equation.

Substitute
for
and
for y in equation 

The slope of the tangent at point
is 
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Application of derivatives
Keywords: Derivative, graph of the equation, 2x2+xy+y2=4, ellipse, tangent, equation yield, pictured ellipse, line, intersect, slope, normal, slope of tangent line.