Finding the Gradient of the Tangent

Finding the Gradient of the Tangent: Group 1

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

1

Gradient of the line joining to

1

Gradient of the line joining to

1

Gradient of the line joining to

1

Do the gradients seem to be getting closer and closer to a particular number?(Try another one if youre not sure)

We think the gradient of at is

Finding the Gradient of the Tangent: Group 2

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

2

Gradient of the line joining to

2

Gradient of the line joining to

2

Gradient of the line joining to

2

Do the gradients seem to be getting closer and closer to a particular number?

(Try another one if youre not sure)

We think the gradient of at is Finding the Gradient of the Tangent: Group 3

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

-1

Gradient of the line joining to

-1

Gradient of the line joining to

-1

Gradient of the line joining to

-1

Do the gradients seem to be getting closer and closer to a particular number?

(Try another one if youre not sure)

We think the gradient of at is Finding the Gradient of the Tangent: Group 4

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

-2

Gradient of the line joining to

-2

Gradient of the line joining to

-2

Gradient of the line joining to

-2

Do the gradients seem to be getting closer and closer to a particular number?

(Try another one if youre not sure)

We think the gradient of at is Finding the Gradient of the Tangent: Group 5

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

0

Gradient of the line joining to

0

Gradient of the line joining to

0

Gradient of the line joining to

0

Do the gradients seem to be getting closer and closer to a particular number?

(Try another one if youre not sure)

We think the gradient of at is Finding the Gradient of the Tangent: Group 1

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

1

Gradient of the line joining to

1

Gradient of the line joining to

1

Gradient of the line joining to

1

Do the gradients seem to be getting closer and closer to a particular number?

(Try another one if youre not sure)

We think the gradient of at is

Finding the Gradient of the Tangent: Group 2

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

2

Gradient of the line joining to

2

Gradient of the line joining to

2

Gradient of the line joining to

2

Do the gradients seem to be getting closer and closer to a particular number?

(Try another one if youre not sure)

We think the gradient of at is Finding the Gradient of the Tangent: Group 3

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

-1

Gradient of the line joining to

-1

Gradient of the line joining to

-1

Gradient of the line joining to

-1

Do the gradients seem to be getting closer and closer to a particular number?

(Try another one if youre not sure)

We think the gradient of at is Finding the Gradient of the Tangent: Group 4

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

-2

Gradient of the line joining to

-2

Gradient of the line joining to

-2

Gradient of the line joining to

-2

Do the gradients seem to be getting closer and closer to a particular number?

(Try another one if youre not sure)

We think the gradient of at is Finding the Gradient of the Tangent: Group 5

We are going to try to find the gradient of the tangent to the curve at (blue line) by looking at the gradients of the lines joining to , then , then etc to see if we can spot a pattern.

What are we looking for?

Gradient

Gradient of the line joining to

0

Gradient of the line joining to

0

Gradient of the line joining to

0

Gradient of the line joining to

0

Do the gradients seem to be getting closer and closer to a particular number?

(Try another one if youre not sure)

We think the gradient of at is Table for results1.Curve

x valueGradient

-2

-1

0

1

2

We think the rule for the gradient is:Gradient =

2.Curve

x valueGradient

-2

-1

0

1

2

We think the rule for the gradient is:Gradient =

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