Basic Differentiation Flashcards
1
Q
d/dx c =
A
0
(Constant rule)
2
Q
d/dx x =
A
1
3
Q
d/dx ax =
A
a
4
Q
d/dx x^n =
A
nx^n-1
5
Q
d/dx √x =
A
(½) x ^-1/2
6
Q
d/dx e^x =
A
e^x
7
Q
d/dx a^x =
A
ln(a) a^x
8
Q
d/dx ln(x) =
A
1/x
9
Q
d/dx log (x) =
a
A
1 / (x ln(a))
10
Q
d/dx sin(x) =
A
cos(x)
11
Q
d/dx cos(x) =
A
-sin(x)
12
Q
d/dx tan(x) =
A
sec²(x)
13
Q
d/dx sin^-1(x) =
A
1 / √(1 - x²)
(Inverse Trigonometry)
14
Q
d/dx cos^-1(x) =
A
-1 / √(1-x²)
(Inverse Trigonometry)
15
Q
d/dx tan^-1(x) =
A
1 / (1+x²)
(Inverse Trigonometry)
16
Q
d/dx e^f(x)
A
e^f(x) * f ’(x)
17
Q
d/dx ln(f(x)) =
A
1/f(x) * f ‘(x)
18
Q
d/dx sec(x) =
A
sec(x)*tan(x)
