Derivative Rules Flashcards
1
Q
d/dx(a^u) =
A
(a^u) lna • (du/dx)
2
Q
D/dx(lnu) =
A
(1/u) • (du/dx)
3
Q
D/dx(logaU) =
A
[1/(ulna)] • (du/dx)
4
Q
D/dx(u^n) =
A
[nu^(n-1)] • (du/dx)
5
Q
D/dx[Arcsin(u)] =
A
[1/(sqrt(1-u^2))] • (du/dx)
6
Q
D/dx[arctan(u)] =
A
[1/(1+u^2)] • (du/dx)
7
Q
D/dx[Arcsec(u)] =
A
[1/(abs(u)•sqrt(u^2 - 1))] • (du/dx)
8
Q
D/dx ArcCo_ =
A
-d/dx(Arc_)
9
Q
D/dx(TanX] =
A
Sec^2(X)
10
Q
D/dx(CotX) =
A
-Csc^2(X)
11
Q
D/dx(SecX) =
A
SecX•TanX
12
Q
D/dx(CscX) =
A
-CscX•CotX
13
Q
d/dx(e^u) =
A
e^u (du/dx)
14
Q
d/dx(a^u) =
A
(du/dx)ln(a)a^u
