Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.13>Q 4

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Earn 100

Find the point at which gradient of the curve with equation $y = 3 x^{2} - 4 x + 1$ is zero.

Important Questions on Curved Graphs

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.13>Q 5

Find the coordinates of the point on the curve with equation

y = 3 x^{2} - 4 x - 2

,where the curve is parallel to the line with equation

y = - 2 x + 1

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.13>Q 6

Find the coordinates of the point on the curve with equation

y = 2 x^{3} - 9 x^{2} + 12 x

,where the curve with is parallel to the

x

-axis.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.13>Q 7

The curve with equation

y = x^{3} + 3

has two tangents,parallel to the line with equation

y = 12 x - 1

.Find the coordinates of the two points.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.13>Q 8

The curve with equation

y = a x^{3} - 4 x + 1

,parallel to the line with equation

y = 50 x - 1

at the point with

x

-coordinate

3

.Find the gradient of the curve with

x

-coordinates

4

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.13>Q 8

The curve with equation

y = a x^{3} - 4 x + 1

,parallel to the line with equation

y = 50 x - 1

at the point with

x

-coordinate

3

.Show the tangent at the point with

x

-coordinates

- 3

is also parallel to the same line.

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.14>Q 1

Find the equation of the tangent of given curve at the point with coordinate

(3, 9)

y = x^{2}

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.14>Q 1

Find the equation of the tangent of given curve at the point with

x

- coordinate

- 2

y = x^{2}

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 18 - Curved Graphs>Exercise 18.14>Q 1

Find the equation of the tangent of given curve at the point with

x

- coordinate

4

y = x^{3} + x^{2}