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- 1. Multiple Choice
Find the slope of f(x) = -3x2 – 6x at x = 1.
m = 0
f'(x) = -6x - 6
f'(x) = 6x
m = -12
- 2. Multiple Choice
Write the slope of the line tangent to the graph of y=x2 – 2 at the point x = -8.
2
-4
-8
-16
- 3. Multiple Choice
This is the equation of the line tangent to the graph of y=x2+3 at the point x = -1.
y = -2x + 2
y = 2x + 2
-(1/2)x + (7/2)
y = (1/2)x + (7/2)
- 4. Multiple Choice
What is the equation of the line tangent to f(x)= 4x2+2x-1 at x=0?
y+1=2(x+1)
y=2x-1
y=2x+2
y= -x-1
- 5. Multiple Choice
Write the equation of the tangent line of the given equation through the point.
y+2=9(x-3)
y + 2 = 3(x-3)
y - 2 = 3(x -3)
y-2 = 9(x-3)
- 6. Multiple Choice
15x2
(5/4)x4
indeterminate
∞
- 7. Multiple Choice
If f '(x) = 0, what does that mean with respect to the tangent line?
Tangent line is vertical
Tangent line has a positive slope
Tangent line is horizontal
Tangent line has a negative slope
- 8. Multiple ChoiceWhat is the equation of the line normal to f(x)=5x5-2x at x =-1?y+3=23(x+1)y+3=-1/23 (x+1)y-7=-1/23 (x+1)y-7=-27(x+1)
- 9. Multiple ChoiceThe normal to the curve isthe derivativethe integralperpendicular to the tangent to the curvethe tangent to the curve
- 10. Multiple ChoiceFor what value(s) of x does the function
f(x) = 4x3- x2- 2x+5 have a horizontal tangent?x=-1/3 or 1/2x= 1/3 or -1/2x=3 or -2x=-3 or 2 - 11. Multiple ChoiceThe equation of the tangent to y=1/x at x=3 isy=-1/9x+2/3y=1/3x+1/3y=1/9x+9y=1/9x
- 12. Multiple Choice
Find the slope of the tangent line at the indicated point
1/(2*31/2)
4/31/2
2/31/2
-31/2/2
- 13. Multiple Choice
What is the equation of the normal to f(x)=sin(x) at x = π/3
None of the above
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