Tangent Line Equations: Implicit Differentiation

Find the equation of the tangent line to the curve given by the equation x^2 + y^2 = 25 at the point (3, 4).

• y = -3/4x + 25/4

• y = 4/3x + 25/4

• y = -4/3x + 25/4

• y = 3/4x + 25/4

Determine the equation of the tangent line to the curve defined by the equation x^3 + y^3 = 27 at the point (3, -3).

• y = x

• y = -x^2

• y = x^2

• y = -x

Given the equation x^2 + xy + y^2 = 9, find the equation of the tangent line at the point (1, 2).

• y = (3/2)x - 2

• y = (3/2)x - 1/2

• y = (3/2)x + 1/2

• y = (3/2)x + 2

Find the equation of the tangent line to the curve represented by the equation x^3 + 3xy^2 = 16 at the point (2, 1).

• y = 2x - 5

• y = -2x + 5

• y = -2x - 5

• y = 2x + 5

Determine the equation of the tangent line to the curve defined by the equation x^2 - 2xy + y^2 = 4 at the point (1, 1).

• y = -1

• y = 2

• y = 0

• y = 1