derivatives (trig, inverse trig, exponents, logs) Flashcards
To be able to identify which trig derivative belongs to which (16 cards)
1
Q
sin x’
A
cos x x’
2
Q
cos x’
A
-sin x x’
3
Q
tan x’
A
sec^2 x x’
4
Q
cot x’
A
-csc^2 x x’
5
Q
sec x’
A
sec x tan x x’
6
Q
csc x’
A
-csc x cot x x’
7
Q
arcsin x’
A
1/√ 1- x^2
8
Q
arccos x’
A
-1/√ 1-x^2
9
Q
arctan x’
A
1/1+ x^2
10
Q
arccot x’
A
-1/1+ x^2
11
Q
arcsec x’
A
1/x√ x^2 -1
12
Q
arccsc x’
A
-1/x√ x^2 -1
13
Q
eᵘ ‘ (ex: e⁴ˣ ‘)
A
eᵘ * u’ (ex: e⁴ˣ ‘= 4e⁴ˣ)
14
Q
aᵘ ‘ (ex: 2ˣ ‘)
A
aᵘ * u’ * ln a (ex: 2ˣ ‘ = 2ˣ ln 2)
15
Q
ln (u) ‘ [ ex: ln (x)]
A
u’/u [ ex: ln (x)= 1/x]
16
Q
logₐ u’ [log₂ x ‘]
A
u’/ u ln a [log₂ x ‘ = 1/ x ln 2]
