Tangent Equations

Solve for the equation of the tangent line to the function k(x) = x^2 + 3x - 2 at the point (1, 2).

• The equation of the tangent line is y = 4x - 2.

• The equation of the tangent line is y = 3x - 4.

• The equation of the tangent line is y = 2x - 1.

• The equation of the tangent line is y = 5x - 3.

Calculate the equation of the tangent line to the function r(x) = 2x^2 + 5x - 3 at the point (2, 7).

• The equation of the tangent line is y = 7x - 10.

• The equation of the tangent line is y = 2x + 5.

• The equation of the tangent line is y = 9x - 11.

• The equation of the tangent line is y = 3x - 1.

Given the function f(x) = 2x^3 - 4x + 1, find the slope of the tangent line at the point (2, 5).

• The slope of the tangent line at the point (2, 5) is -5.

• The slope of the tangent line at the point (2, 5) is 20.

• The slope of the tangent line at the point (2, 5) is 10.

• The slope of the tangent line at the point (2, 5) is 0.

Determine the slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10).

• The slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10) is 8

• The slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10) is 6.

• The slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10) is 3

• The slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10) is -2

Given the function n(x) = 3x^3 - 2x^2 + 5x - 1, find the coordinates of the point where the tangent line is horizontal.

• The coordinates of the point where the tangent line is horizontal are (0, 1)

• The coordinates of the point where the tangent line is horizontal are (2, 3)

• The coordinates of the point where the tangent line is horizontal are (1, 5)

• The coordinates of the point where the tangent line is horizontal are (3, 7)

Identify the coordinates of the point where the tangent line to the function q(x) = x^2 - 4x + 3 is horizontal

• (1, 5)

• (2, -1)

• (0, 3)

• (3, 2)

Find the equation of the tangent line of y = 2x^3+3x^2-12x+1 when x = -2

• y = x - 9

• y = x + 9

• y = 9

• y = -9

Find the derivative of the function f(x) = 3x^2 - 2x + 5.

• f'(x) = 6x - 2.

• f'(x) = 3x^2 - 2

• f'(x) = 6x + 2

• f'(x) = 3x^2 - 2x + 5

Find the equation of the tangent line to the circle with the following equation and the point of tangency P.

Find the equation of the tangent line to the circle with the following equation and the point of tangency P.