Gradient at a point

CalculusAdditional / Further Maths

Evaluate the derivative at a stated input.

Find the gradient function .
The gradient at is .
Substitute into the derivative to find gradient; substitute into the original function to find an ordinate.

Example 1

Find the gradient of the curve at .

Find the gradient function.

Substitute the stated value of

Find the gradient of the curve at .

Find the gradient function.

Substitute the stated value of

Question 1

Find the gradient of the curve at .

Check answer

Find the gradient function.

Substitute the stated value of

Question 2

Find the gradient of the curve at .

Check answer

Find the gradient function.

Substitute the stated value of

Question 3

Find the gradient of the curve at .

Check answer

Find the gradient function.

Substitute the stated value of

Question 4

Find the gradient of the curve at .

Check answer

Find the gradient function.

Substitute the stated value of

Question 5

Find the gradient of the curve at .

Check answer

Find the gradient function.

Substitute the stated value of