Derivatives Flashcards
1
Q
(xⁿ)
A
d/dx = nxⁿ⁻¹
2
Q
ln (x)
A
d/dx = 1/x
3
Q
eⁿ
A
d/dx = eⁿ
4
Q
aⁿ
A
d/dx = aⁿlna
5
Q
logᵤx
A
d/dx = 1/(x ln(u))
6
Q
sin x
A
d/dx = cos x
7
Q
cos x
A
d/dx = -sin x
8
Q
tan x
A
d/dx = sec² x
9
Q
cot x
A
d/dx = -csc² x
10
Q
sec x
A
d/dx = sec x tan x
11
Q
csc x
A
d/dx = -csc x cot x
12
Q
sin⁻¹ x
A
d/dx = 1/√(1-x²)
13
Q
cos⁻¹ x
A
d/dx = = -1/√(1-x²)
14
Q
tan⁻¹ x
A
d/dx = 1/ (1 + x²)
15
Q
constant
A
d/dx = zero
