Comp book: Derivative rules Flashcards
1
Q
Power Rule - F(x) = ax^n
A
F’(x)= nax^(n-1)
2
Q
Product Rule - F(x) = h(x)g(x)
A
F’(x) = h’(x)g(x) + h(x)g’(x)
3
Q
Quotient Rule - F(x) = h(x)/g(x)
A
F’(x) = (g(x)h’(x) - h(x)g’(x)) / (g(x))^2
4
Q
Chain Rule - F(x) = f(g(x))
A
F’(x) = f’(g(x)) g’(x)
5
Q
Sinu
A
du Cosu
6
Q
Cosu
A
du -Sinu
7
Q
Tanu
A
du Sec^2u
8
Q
Cotu
A
- du Csc^2u
9
Q
Secu
A
Du SecTanu
10
Q
Cscu
A
-duCscCotu
11
Q
e^u
A
du e^u
12
Q
Ln u
A
Du/u
13
Q
a^u
A
a^u lna du
14
Q
Log(a)u
A
Du / ulna
