What is the equation of the tangent line to the curve y = x2 – 2x + 1 at point (3,4)? a. y = -4x + 8 b. y = x3 – 2x2 + x с. у34x- 8 d. y = 2x - 2 If y = V6x + 1, then what is gy/ dx 2 a. dy/dx = 2(6x + 1) -23 b. dy/dx = 2(6x – 1) 2/3 C. dy/dx = 3(6x +1) -13 d. dy/dx = (x2 + 6x) 13 %3D %3D What are the critical points of f(x) = x3 – 3x2 - 3 a. (0, -3) and (2, -7) b. (0, 3) and (2, 7) c. (0, 2) and (2, 6) d. (1, 2) and (3, 5)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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What is the equation of the tangent line to the curve y = x2 - 2x + 1 at point (3,4)?
a. y = -4x + 8
b. y = x3 – 2x2 + x
С. у% 4x- 8
d. y = 2x - 2
If y = V6x +1, then what is dy / dx ?
a. dy/dx = 2(6x + 1) -2/3
b. dy/dx = 2(6x – 1)
c. dy/dx = 3(6x +1) -1/3
d. dy/dx = (x2 + 6x)
2/3
1/3
What are the critical points of f(x) = x3 – 3x2 - 3
a. (0, -3) and (2, -7)
b. (0, 3) and (2, 7)
c. (0, 2) and (2, 6)
d. (1, 2) and (3, 5)
If y = (2x2 – 1) %_ then what is y'?
а. у - 4x (2x2- 1) -12
b. у - 2x (2x2 - 1)2
с. у 3 2x (2x2 - 1) %
d. y = 2x (2x2 – 1) -1/2
If y = (2x + 7)2, then what is dy / dx 2
a. dy/dx = 2
b. dy/dx = 8x + 28
C. dy/dx = 2(2x + 7)
d. dy/dx = 4x
Transcribed Image Text:What is the equation of the tangent line to the curve y = x2 - 2x + 1 at point (3,4)? a. y = -4x + 8 b. y = x3 – 2x2 + x С. у% 4x- 8 d. y = 2x - 2 If y = V6x +1, then what is dy / dx ? a. dy/dx = 2(6x + 1) -2/3 b. dy/dx = 2(6x – 1) c. dy/dx = 3(6x +1) -1/3 d. dy/dx = (x2 + 6x) 2/3 1/3 What are the critical points of f(x) = x3 – 3x2 - 3 a. (0, -3) and (2, -7) b. (0, 3) and (2, 7) c. (0, 2) and (2, 6) d. (1, 2) and (3, 5) If y = (2x2 – 1) %_ then what is y'? а. у - 4x (2x2- 1) -12 b. у - 2x (2x2 - 1)2 с. у 3 2x (2x2 - 1) % d. y = 2x (2x2 – 1) -1/2 If y = (2x + 7)2, then what is dy / dx 2 a. dy/dx = 2 b. dy/dx = 8x + 28 C. dy/dx = 2(2x + 7) d. dy/dx = 4x
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