Further calculus Formula Flashcards
1
Q
f’g + fg’
A
Core Rule
2
Q
f’g - fg’/g²
A
Quotient Rule
3
Q
f’((g)g’)
A
Chain Rule
4
Q
Δy ≈ dy/dx Δx
A
Small Variations
5
Q
Δy
A
Absolute change
6
Q
Δy/y0
A
Relative change
7
Q
Δy/y0 * 100%
A
Percentage change
8
Q
y ≃ f(x0) + f’(x0) (x - x0). for x near x0
A
Linear approximation
9
Q
dy/dx = 0
A
Stationery point
10
Q
d/dx [af(x) + by(x)] = af’(x) + bg’(x)
A
Linearity Rule
11
Q
∫b a (f(x) - g(x)) dx
A
Area between two curves
12
Q
∫d c f(y) dy
A
Area between curve and y-axis
13
Q
π ∫b a [f(x)]² dx
A
Volume of revolution about y-axis
14
Q
2π ∫b a xf(x) dx
A
Volume of revolution about the x-axis
15
Q
∫ b a (1 + (dy/dx)²)½ dx
A
Arc length
