Normal and Tangent Lines

What is the equation of the vertical line through (8, -4)?

• x=8
• y=8
• x=-4
• y=-4

Which of the following means "first derivative"

• f'(x)
• y'
• dy/dx
• all of the above

What is the equation of the tangent to the curve f(x)= 4x²+2x-1 at the point x=0?

• y+1=2(x+1)
• y = 2x - 1
• y=2x+2
• y = 2x -3

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

What is the equation of the line perpendicular to 5x+3y=0 and passing through the (-4, 6)?

• y-6=-5/3 (x+4)
• y-6=3/5 (x+4)
• y-6=5/3 (x+4)
• y-6= -3/5 (x+4)

What 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+3 = -1/23 (x+1)
• 23y = -x-1

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down