Y11 Tangents and normals to curves

• y = 2x - 3

• y = 5x -16

• y = 5x -24

• y = 5x + 24

• y = 2x + 7

• y = 9x - 1

• y = 9x

• y = 9x - 9

• y = 2x + 7

• y = 14x - 4

• y = 14x + 4

• y = 14x - 8

Find the equation of the tangent to the curve  $y=x^3-x^2$ at the point when x=2

•  $y=3x^2-2x$ 

• y = 8x - 12

• y = 8x - 20

• y = 8x - 10

• y = 2x - 5

• y = -7x - 1

• y = -7x + 1

• y = 7x - 1

Find the equation of the tangent to the curve  $y=x^3-2x^2$ at the point when x=1

•  $y=3x^2-4x$ 

• y = -x

• y = x

• y = x + 2

• y = -x

• y = -x + 2

• y = x - 2

• y=-x + 2

• y = -x -1

• y = x - 3

• y = x

• y = -x + 4

Find the equation of the normal to the curve  $y=x^3-4x^2$ at the point when x=2

•  $y=-4x$ 

•  $y=\frac{1}{4}x-\frac{17}{2}$ 

•  $y=\frac{1}{4}x-\frac{15}{2}$ 

•  $y=-4x+3$ 

Find the equation of the normal to the curve  $y=\frac{1}{2}x^2-2x$ at the point when x=4

•  $y=-\frac{1}{2}x-2$ 

•  $y=-\frac{1}{2}x+2$ 

•  $y=2x-4$  

•  $y=2x-8$