Differentiation Flashcards
1
Q
d/dx(C)=
A
0
2
Q
d/dx(Cf(x))
A
Cf’(x)
3
Q
d/dx(f(x) +/- g(x))
A
f’(x) +/- g’(x)
4
Q
d/dx(f(x)g(x))
A
f’(x)g(x) + f(x)g’(x)
“Derivative of the first term times the second, plus the derivative of the second term times the first term”
5
Q
d/dx (f(x)/g(x))
A
[f’(x)g(x) - f(x)g’(x)]/g(x)^2
“Bottom times the derivative of the top, minus the top times the derivative of the bottom all over the bottom squared”
6
Q
d/dx(f(g(x)))
A
f’(g(x))g’(x)
7
Q
d/dx(x^n)
A
nx^(n-1)
8
Q
d/dx(e^x)
A
e^x
9
Q
d/dx(lnx)
A
1/x
10
Q
d/dx(sinx)
A
cosx
11
Q
d/dx(cosx)
A
-sinx
12
Q
d/dx(tanx)
A
sec^2(x)
13
Q
d/dx(secx)
A
secxtanx
14
Q
d/dx(cscx)
A
-cscxcotx
15
Q
d/dx(cotx)
A
-csc^2(x)
