Derivatives Flashcards
1
Q
sin(x)
A
cos(x)
2
Q
cos(x)
A
-sin(x)
3
Q
tan(x)
A
sec^2(x)
4
Q
csc(x)
A
-csc(x)cot(x)
5
Q
sec(x)
A
sec(x)tan(x)
6
Q
cot(x)
A
-csc^2(x)
7
Q
sin^-1(f(x))
A
f’(x)/(sqrt(1-f(x)^2))
8
Q
cos^-1(f(x))
A
-f’(x)/(sqrt(1-f(x)^2))
9
Q
tan^-1(f(x))
A
f’(x)/(1+f(x)^2)
10
Q
ln(x)
A
1/x
11
Q
csc^-1(f(x))
A
-f’(x)/(|f(x)|(f(x)^2-1)^(1/2))
12
Q
sec^-1(f(x))
A
f’(x)/(|f(x)|(f(x)^2-1)^(1/2))
13
Q
cot^-1(f(x))
A
-f’(x)/(1+f(x)^2)
14
Q
e^x
A
e^x
15
Q
a^x
A
lna(a^x)
