C3 Flashcards
1
Q
dy/dx of sinx
A
Cosx
2
Q
dy/dx of cosx
A
-sinx
3
Q
dy/dx of tanx
A
Sec^2x
4
Q
dy/dx of cosecx
A
-cosecxcotx
5
Q
dy/dx of secx
A
Secxtanx
6
Q
dy/dx of cotx
A
-cosec^2
7
Q
To get dy/dx if you have dx/dy, how do you get it?
A
1/ dx/dy
8
Q
What does d/dx mean?
A
Differentiate the brackets first
9
Q
y= ln(f(x))
What will dy\dx always equal?
A
dy/dx= f`(x)/f(x)
10
Q
When do you use the chain rule??
A
When you have two terms
Eg.
e^x^2 + 2e^x
You would split them up and then use the chain rule
11
Q
What is the chain rule??
A
dy/dx= dy/du x du/dx
12
Q
What is the quotient rule?
A
To differentiate fractions
vdu/dx - udv/dx / v^2
13
Q
What order do you use the quotient rule?
A
u. v
du/dy. dv/du
vdu/dy =1
udv/dv=2
