1
Q
d/dx tan^-1(x)
A
1/1+x^2
2
Q
d/dx = a^x
A
lna(a^x)
3
Q
d/dx loga (x)
A
d/dx (lnx/lna) = 1/(lna)x
4
Q
d/dx sin^-1(x)
A
1/√(1-x^2)
5
Q
d/dx cos^-1(x)
A
-1/√(1-x^2)
6
Q
d/dx cot^-1(x)
A
-1/1+x^2
7
Q
d/dx csc^-1(x)
A
-1/|x|√(x^2-1)
8
Q
d/dx sec^-1(x)
A
1/|x|√(x^2-1)
9
Q
d/dx [loga(x)]
A
1/(lna)x
10
Q
d/dx [loga(u)]
A
1/(lna)u * (du/dx)
11
Q
f^-1(x)’
A
1/(f’(f^-1(x)))
12
Q
Quotient Rule
A
d/dx u/v = vu’ - uv’ / (v)^2
13
Q
d/dx e^x
A
