Free Printable Y11 Tangents and normals to curves

1.

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

a)

y = 2x - 3

b)

y = 5x -16

c)

y = 5x -24

d)

y = 5x + 24

2.

Find the equation of the tangent to the curve $y=x^2+7x$ at the point when x=1

a)

y = 2x + 7

b)

y = 9x - 1

c)

y = 9x

d)

y = 9x - 9

3.

Find the equation of the tangent to the curve $y=x^2+10x$ at the point when x=2

a)

y = 2x + 7

b)

y = 14x - 4

c)

y = 14x + 4

d)

y = 14x - 8

4.

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

a)

$y=3x^2-2x$

b)

y = 8x - 12

c)

y = 8x - 20

d)

y = 8x - 10

5.

Find the equation of the tangent to the curve $y=x^2-5x$ at the point when x=-1

a)

y = 2x - 5

b)

y = -7x - 1

c)

y = -7x + 1

d)

y = 7x - 1

6.

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

a)

$y=3x^2-4x$

b)

y = -x

c)

y = x

d)

y = x + 2

7.

Find the equation of the tangent to the curve $y=2x^4-3x^3$ at the point when x=1

a)

y = -x

b)

y = -x + 2

c)

y = x - 2

d)

y=-x + 2

8.

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

a)

y = -x -1

b)

y = x - 3

c)

y = x

d)

y = -x + 4

9.

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

a)

$y=-4x$

b)

$y=\frac{1}{4}x-\frac{17}{2}$

c)

$y=\frac{1}{4}x-\frac{15}{2}$

d)

$y=-4x+3$

10.

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

a)

$y=-\frac{1}{2}x-2$

b)

$y=-\frac{1}{2}x+2$

c)

$y=2x-4$

d)

$y=2x-8$

11.

Find the equation of the normal to the curve $y=2\ \sqrt[]{x}$ at the point when x=9

a)

$y=-3x-21$

b)

$y=-3x+33$

c)

$y=\frac{1}{3}x+3$

d)

$y=\frac{1}{3}x-3$

12.

Find the equation of the normal to the curve $y=\sqrt[]{x}$ at the point when x=4

a)

$y=-4x-14$

b)

$y=-4x+18$

c)

$y=\frac{1}{4}x+1$

d)

$y=\frac{1}{4}x-4$

13.

Find the equation of the normal to the curve $y=2x^4-3x^3$ at the point when x=1

a)

y = -x

b)

y = -x + 2

c)

y = x - 2

d)

y= x

Y11 Tangents and normals to curves

Total questions: 13

Worksheet time: 7mins

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