Differentiation Flashcards
1
Q
1st derivative < 0
A
decreasing function
2
Q
1st derivative = 0
A
stationary point
3
Q
1st derivative >0
A
increasing function
4
Q
2nd derivative <0
A
concave function or maximum
5
Q
2nd derivative =0
A
point of inflection
6
Q
2nd derivative > 0
A
convex function / minimum point
7
Q
dydx ax^n
A
anx^n-1
8
Q
dydx e^x
A
e^x
9
Q
dydx a^x
A
a^xlna
10
Q
dydx lnx
A
1/x
11
Q
chain rule on f(blah)
A
f’(blah) x blah’
12
Q
product rule
A
uv = uv’ + u’v
13
Q
quotient rule
A
vu’-uv’
_______
v^2
14
Q
implicit differentiation of f(y)
A
= f’(y) x dy/dx
15
Q
1/(dx/dy)
A
dy/dx
