Derivatives Flashcards
1
Q
Constant Rule:
d/dx [c]
A
0
2
Q
Power Rule:
A
d/dx [x^n] = nx^(n-1)
3
Q
d/dx [sinx]
A
cosx
4
Q
d/dx [cosx]
A
-sinx
5
Q
d/dx [e^x]
A
e^x
6
Q
d/dx [lnx]
A
1/x
7
Q
d/dx [a^x]
A
lna • a^x
or
a^x • lna
8
Q
Product Rule:
d/dx [f(x)g(x)]
A
f(x)g’(x) + g(x)f’(x)
9
Q
Quotient Rule:
d/dx [f(x)/g(x)]
A
(g(x)f’(x) - f(x)g’(x))/(g(x))^2
or
(hoDhi - hiDho)/hoho
10
Q
d/dx [tanx]
A
sec^2x
11
Q
d/dx [cotx]
A
-csc^2x
12
Q
d/dx [secx]
A
secxtanx
13
Q
d/dx [cscx]
A
-cscxcotx
14
Q
Chain Rule:
d/dx [f(g(x))]
A
f’(g(x))•g’(x)
15
Q
Derivative of Inverse Function:
(f^-1)’(x)
A
1/f’(f^-1(x))
