IB Tangent Normals

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

Write the slope of the line tangent to the graph of y=x² – 2 at the point x = -8.

• 2

• -4

• -8

• -16

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

The normal to the curve is 

• the derivative

• the integral

• perpendicular to the tangent  to the curve

• the tangent to the curve

What is tan 30°?

• 1

• ¹/_√3

• ^√3/₂

• ½

For what value(s) of x does the function

f(x) = 4x³- x²- 2x+5 have a horizontal tangent?

• x=-1/3 or 1/2

• x= 1/3 or -1/2

• x=3 or -2

• x=-3 or 2

The point on the curve y²=x at which the tangent is parallel to the line joining (1,4) and (3,2) is

• (5,6)

• (1/2,-1/2)

• (1/2,3/2)

• (-1/2,1/2)

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

What is the slope of the line normal to the curve y = x² + x at x = 1?

• -1

• -1/2

• -1/3

• -1/4