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
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
3
Q
how is the second order derivative written?
A
the second order derivative is d²y/ dx²
4
Q
when do stationary points occur?
A
stationary points exist when the gradient = 0
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
