Chapter 8- Differentiation (Pure Maths) Flashcards

1
Q

if Y=xⁿ what does dy/dx = ?

A

if Y=xⁿ what does dy/dx =nxⁿ⁻¹

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

what does gradient of a tangent and gradient of a normal equal?

A

gradient of a tangent = gradient of a curve

gradient of a normal = -1/ gradient of the curve

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

how is the second order derivative written?

A

the second order derivative is d²y/ dx²

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

when do stationary points occur?

A

stationary points exist when the gradient = 0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

when do maximum and minimum points exist?

A

maximum points exist when d²y/dx² is negative
minimum points exist when d²y/dx² is positive

How well did you know this?
1
Not at all
2
3
4
5
Perfectly