Derivative of tanx, Cosecx, Secx, Cotx Flashcards
1
Q
How do you differentiate tan x ?
A
d/dx (tanx) = Sec^2x
2
Q
How do you differentiate Cosec x?
A
d/dx (Cosec x) = -CosecxCotx
3
Q
How do you differentiate Sec x ?
A
d/dx(Sec x) = SecxTanx
4
Q
How do you differentiate Cot x?
A
d/dx (Cot x) = Cosec^2 x
5
Q
Differentiate y=Cosec(lnx)
A
d/dx = Cosec(lnx) . Cot(lnx) . (1/x)
= Cosec(lnx)Cot(lnx)/x
6
Q
How can you work out the derivative of tanx ?
A
y=tanx
tan x =sinx/cosx
Use Quotient Rule
7
Q
How can you work out the derivative of Sec x?
A
y=secx
secx = 1/cosx
use quotient rule
OR rewrite 1/cosx as (Cosx)^-1
then use chain rule
8
Q
How can you work out the derivative of Cot x?
A
Cot x = 1/tanx = Cosx/Sinx
Use quotient rule
9
Q
How can you work out the derivative of Cosec x?
A
y=cosec x = 1/sinx
can use quotient rule
OR rewrite 1/sinx as (sinx)-1 and use chain rule
