1
Q
What is the derivative of sin x?
A
Cosx
2
Q
What is the derivative of cos x?
A
- sin x
3
Q
What is the derivative of sin kx?
A
k cos kx
4
Q
What is the derivative of cos kx?
A
-k sin kx
5
Q
What is the derivative ekx?
A
kekx
6
Q
What is the derivative of ln x?
A
1 / x
7
Q
What is the derivative of ln(kx)?
A
1 / x
8
Q
What is the derivative of ln f(x)?
A
f’(x) / f(x)
9
Q
What is the derivative of ax?
A
ax ln a
10
Q
What is the derivative of akx?
A
kakxln a
11
Q
What is implicit differentiation?
A
Whenever you have to differentiate ‘y’ and ‘x’, you differentiate ‘x’ normally and differentiate ‘y’ normally but multiply it by dy/dx. Then you rearrange the equation so that the dy/dx is the subject
12
Q
What is the derivative of arcsine?
A
1 / Sqrt(1 - x2)
13
Q
What is the derivative of arccos?
A
- 1 / Sqrt(1 - x2)
14
Q
What is the derivative of arctan?
A
1 / 1 + x2
Maths A2
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