Differential Equations Flashcards
1
Q
What is Chain Rule Formula
A
(dy/du) x (du/dx)
2
Q
When to use Chain Rule Formula
A
On composite functions i.e., function of a function f(g(x)) e.g. 3(x+2)^2
3
Q
What is Product Rule Formula
A
uv’ + vu’
4
Q
When to use Product Rule Formula
A
On the product of two functions i.e., when two functions are multiplied together f(x)g(x) e.g., xe^x
5
Q
What is Quotient Rule Formula
A
(vu’ - uv’) / v^2
6
Q
When to use Quotient Rule Formula
A
When a function is divided by a function, i.e., y = u/v
6
Q
Implicitly differentiate y in terms of x
A
f’(y) dy/dx
7
Q
Implicitly differentiate y^n in terms of x
A
ny^n-1 dy/dx
8
Q
A
