At what x value does the curve x^{2}+7y^{2}-4x-2=0 have a

tqctmas5rw

tqctmas5rw

Answered question

2022-02-13

At what x value does the curve x2+7y24x2=0 have a horizontal tangent?

Answer & Explanation

Skaftau0k

Skaftau0k

Beginner2022-02-14Added 10 answers

Explanation:
No Calculus
x2+7y24x2=0 is the equation of an ellipse.
The tangent will be horizontal at the x coordinate of the center.
Completing the square gets us: (x2)2+7y2=6
The tangent lines will be horizontal at x=2
x2+7y24x2=0
2x+14ydydx4=0
dydx=42x14y
dydx=0 at x=2

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