Equations of Tangent Lines and Horizontal Tangent Lines

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)

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.

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.

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

Name the tangent line. 

• s

• WR

• VT

• QR

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.

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

What is the equation of the line tangent to the curve y = x² at x = 1?

• y = 2x + 1

• y = 2x - 1

• y = -2x + 1

• y = x - 1

• a

• b

• c

• d

• e