Differentiation Yr2 Flashcards
1
Q
Y = Sinx
A
Dy/dx = Cosx
2
Q
Y = cosx
A
Dy/dx = -sinx
3
Q
Y = -sinx
A
Dy/dx = -cosx
4
Q
Y = -cosx
A
Dy/dx = sinx
5
Q
Y = sinkx
A
Dy/dx = kcoskx
6
Q
Y = sin^2x
A
= (sinx)^2 - CHAIN RULE
Dy/dx = 2 (sinx)cosx
7
Q
Y = lnx
A
Dy/dx = 1/x
8
Q
Y = a^kx
A
Dy/dx = a^kx x lna
9
Q
Y = e^kx
A
Dy/dx = ke^kx
10
Q
Chain rule
A
Dy/dx = dy/du x du/dx
11
Q
Product rule
A
Y = uv
Dy/dx = (U)dv/dx + (v)u/dx
12
Q
Quotient rule
A
Y = u/v
Dy/dx = ( (v)du/dx - (u)dv/dx ) all divided by v^2
13
Q
Tanx
A
Dy/dx = sec^2x
14
Q
SecX
A
Dy/dx = Secxtanx
15
Q
Cotx
A
Dy/dx = - cosec^2x
16
Q
Cosecx
A
Dy/dx = -Cosecx Cotx
17
Q
Parametric
A
Dy/dx = dy/dt x dt/dx
18
Q
Implicit
= y^2
A
= 2y dy/dx
19
Q
Implicit
= siny
A
cosy dy/dx
20
Q
Implicit
E^y
A
E^y dy/dx
21
Q
Concave
A
Second derivative < and equal to 0
22
Q
Point of inflection
A
- convex is when second derivative is > and equal to 0
