Pure Year 2 Unit 9 Flashcards
1
Q
differentiate sin(kx)
A
k cos(kx)
2
Q
differentiate cos(kx)
A
-k sin(kx)
3
Q
differentiate e^(kx)
A
ke^(kx)
4
Q
differentiate ln(x)
A
1/x
5
Q
differentiate a^(kx)
A
(a^(kx))(k)(ln(a))
6
Q
What is the chain rule?
A
dy/dx = dy/du x du/dx
7
Q
How to get from dx/dy to dy/dx
A
dy/dx = 1 / dx/dy
8
Q
What is the product rule?
A
if y=uv, then dy/dx = u(dv/dx) + v(du/dx)
9
Q
What is the quotient rule?
A
if y=u/v, then dy/dx = (v(du/dx) - u(dv/dx))/v^2
10
Q
Differentiate tan(kx)
A
k sec^2 (kx)
11
Q
differentiate cosec(kx)
A
-k cosec(kx)cot(kx)
12
Q
differentiate sec(kx)
A
k sex(kx)tan(kx)
13
Q
differentiate cot(kx)
A
-k cosec^2 (kx)
14
Q
For parametric functions, how do you get dy/dx?
A
dy/dt / dx/dt
15
Q
How to do implicit differentiation?
A
Differentiate the y like an x then multiply it by dy/dx
