basic derivate rules Flashcards
1
Q
constant rule
d/dx (c) = ?
A
0
2
Q
special case of power rule
d/dx (x) = ?
A
1
3
Q
power rule
d/dx (x^n) = ?
A
nx^n-1
4
Q
the constant multiple rule
constant rule
d/dx (c x f(x)) = ?
A
c x f’(x)
5
Q
sum rule
d/dx (f(x)+g(x)) = ?
A
f’(x) + g’(x)
6
Q
sum rule
d/dx (f(x)-g(x)) = ?
A
f’(x) - g’(x)
7
Q
d/dx (sinx) = ?
A
cosx
8
Q
d/dx (cosx) = ?
A
-sinx
9
Q
d/dx (e^x) = ?
A
e^x
10
Q
d/dx (lnx) = ?
A
1/x
11
Q
d/dx (logbx) = ?
A
1/((lnb)(x))
12
Q
product rule
d/dx (f(x)g(x)) = ?
A
f’(x)g(x)+g’(x)f(x)
13
Q
quotient rule
d/dx (f(x)/g(x)) = ?
A
f’(x)g(x)-g’(x)f(x) / (g(x))^2
14
Q
d/dx (tanx) = ?
A
sec^2x
15
Q
d/dx (cscx) = ?
A
-cscxcotx
