Tangent and normal equation of a curve
Mathematics
11th Grade - University
CCSS covered
Used 7+ times
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12 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The gradient of f(x)=3x2+2x+5 at x=0.5 equals
6.75
5
3
7
Tags
CCSS.8.EE.B.5
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Determine the equation of the normal to the curve y=6x +8/x at the point B(1,14). Write your answer in the form ax + by + c = 0.
2x + y -16 = 0
x + 2y + 29 =0
x - 2y + 27 = 0
2x - y - 16 = 0
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Determine the equation of the tangent to f(x)=3x2 when x=1
y=6x+3
y=6x
y=6x-3
y=6x-17
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Determine the equation to the normal of xy=-4 at (-1,4)
y=(-1/4)x+(17/4)
y=(-1/4)x
y=(1/4)x+(17/4)
y=(-1/4)x+(15/4)
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Determine the point where the gradient of the tangent to the curve f(x)=1-3x2 equals 5
(5/6 , -13/12)
(-5/6 , -13/12)
(5 , -74)
(-5/6 , 37/12)
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the normal equation of the curve y=- x2+ 3x3-15 at the point (2,5)
y=32x-59
y=0.0313x -4.97
y=32x + 68
y=-0.0313x + 5.06
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
y=12/x. Find the normal at the point P(-4,-3). Write your answer in the form ax+by+c=0
3x + 4y + 24 = 0
3x - 4y = 0
4x- 3y + 7 = 0
4x - 3y + 9 = 0
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