Ib Tangent Normals

Find the slope of f(x) = -3x² – 6x at x = 1.

• m = 0

• f'(x) = -6x - 6

• f'(x) = 6x

• m = -12

Tags

CCSS.8.EE.B.5

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

• 2

• -4

• -8

• -16

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)

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

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 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)

The normal to the curve is 

• the derivative
• the integral
• perpendicular to the tangent  to the curve
• the tangent to the curve

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

Tags

CCSS.HSF-IF.C.7D

The equation of the tangent to y=1/x at x=3 is

• y=-1/9x+2/3
• y=1/3x+1/3
• y=1/9x+9
• y=1/9x

Find the slope of the tangent line at the indicated point

• 1/(2*3^1/2)

• 4/3^1/2

• 2/3^1/2

• -3^1/2/2