SECTION 7- DIFFERENTIATION

Question 1

what is a stationary point

Answer 1

• when the curve has no gradient, so dy/dx = 0

Question 2

what does it mean to calculate the second derivative

Answer 2

• differentiating again so dy/dx looks like d^2y/ dx^2

- this can help calculate the second derivative

Question 3

what happens when the d^2y/ dx^2 is greater than zero (d^2y/ dx^2 > 0)

Answer 3

• stationary point will be a minimum (turning point)

Question 4

what happens when the d^2y/ dx^2 is less than zero (d^2y/ dx^2 < 0)

Answer 4

• stationary point will be a maximum (turning point)