Differentiation Flashcards
1
Q
Sinx
Sin f(x)
A
Cosx
f’(x)Cos f(x)
2
Q
Cos x
Cos f(x)
A
- Sin x
- f’(x) Sin f(x)
3
Q
Tan x
Tan f(x)
A
Sec^2 x
f’(x) Sec^2 f(x)
4
Q
Cot x
Cot f(x)
A
Cosec^2x
f’(x) Cosec^2 f(x)
5
Q
Sec x
Sec f(x)
A
Sec x Tan x
f’(x) sec f(x) tan f(x)
6
Q
Cosec x
Cosec f(x)
A
- Cosec x Cot x
- f’(x) Cosec f(x) Cot f(x)
7
Q
e^x
e^f(x)
A
e^x
f’(x) e^f(x)
8
Q
lnx
ln f(x)
A
1/x
f’(x)/f(x)
9
Q
a^x
a^f(x)
A
a^x lna
1st Principals
10
Q
ArcSinx
A
1/ root ( 1- x^2)
11
Q
ArcCosx
A
1/ root (1- x^2)
12
Q
ArcTanx
A
1/ x^2 + 1
