Unit 1 Flashcards
1
Q
What is the formula for differentiation first principles
A
f’(x)=lim h->0 f(x+h) -f(x)/ h
2
Q
What is the product rule formula
A
dy/dx = u’v + uv’
3
Q
What is the quotient rule formula
A
dy/dx= u’v-uv’/v^2 If y=u/v
4
Q
What is 1/cosx
A
Sec x
5
Q
What is 1/sinx
A
cosec x
6
Q
What is sinx/cosx
A
tanx
7
Q
What is 1/tan x
A
cotx
8
Q
What is sin2A
A
2sinAcosA
9
Q
What is cos2A
A
=cos^2A-sin^2A
=2cos^2A-1
=1-2sin^2A
10
Q
What is the derivative of sinx
A
cosx
11
Q
What is the derivative of cosx
A
-sinx
12
Q
What is the derivative of tanx
A
sec^2x
13
Q
What is the derivative of cosec x
A
-cosec x cot x
14
Q
What is the derivative of sec x
A
sec x tan x
15
Q
What is the derivative of cot x
A
-cosec^2x