exam 1 Flashcards
1
Q
(f^-1)’(x) = ?
A
1/(f’(f^-1(x)))
2
Q
Loga(b)^c = ?
A
c ⋅ loga(b)
3
Q
y’ of ln x
A
1/x
4
Q
∫1/x
A
ln |x| + C
5
Q
y’ of e^u(x) = ?
A
e^u(x) ⋅ u’(x)
6
Q
y’ of a^x = ?
A
a^x ⋅ ln(a)
7
Q
∫a^x
A
1/ln(a) ⋅ a^x + C
8
Q
y’ of loga(x) = ?
A
1/(x⋅ln(a))
9
Q
command interest formula
A
A = P(1 + r/n)^nt
10
Q
compound continuous interest formula
A
A = Pe^rt
11
Q
y’ of arcsinx = ?
A
1/√1-x^2
12
Q
y’ of arctanx = ?
A
1/(1+x^2)
13
Q
y’ of arccosx = ?
A
-1/√1-x^2
14
Q
∫dx/(1+81x^2)
A
1/9 arctan(9x)
15
Q
∫e^x
A
e^x
