Differentiation Flashcards
1
Q
How would you confirm a value is a minimum?
A
Substitute minimum value into second derivative (d^2y/dx^2). If solution is >0, then it is a minimum
2
Q
What is the Chain Rule?
A
dy/dx = dy/du x du/dx
3
Q
What is the derivative of lnx?
A
1/x
4
Q
What is the product rule?
A
If y=uv then dy/dx = uv’ + vu’
5
Q
When should you use the product rule?
A
When the expressions have been multiplied together rather being inside each other
6
Q
What is the quotient rule?
A
If y= u/v then dy/dx = (vu’ - uv’) / v²
7
Q
What is the derivative of tanx?
A
Sec²x
8
Q
What is the derivative of sinx?
A
Cosx
9
Q
What is the derivative of cosx?
A
-sinx
10
Q
To differentiate y = 3sinθ / (2sinθ+2cosθ) , what rule would you use?
A
Product rule
