ALL DERIVATIVES Flashcards
1
Q
axn
A
a·n·xn-1
2
Q
H(x) = [f(x)][g(x)]
A
H’(x) = f’(x)·g(x) + f(x)·g’(x)
3
Q
H(x) = f(x) / g(x)
A
[g(x)·f’(x) - f(x)·g’(x)] / [g(x)]2
4
Q
H(x) = f[g(x)]
A
H’(x) = f’[g(x)] · g’(x)
5
Q
ln[f(x)]
A
f’(x) / f(x)
6
Q
ef(x)
A
f ‘(x)ef(x)
7
Q
au
A
au ·ln(a)·u’
8
Q
sin(x)
A
cos(x)
9
Q
cos(x)
A
-sin(x)
10
Q
tan(x)
A
sec2(x)
11
Q
sec(x)
A
sec(x)·tan(x)
12
Q
csc(x)
A
-csc(x)·cot(x)
13
Q
cot(x)
A
-csc2(x)
