1
Q
d/dx sin(u)
A
Cos(u) • u’
2
Q
d/dx(x^n)
A
nx^n-1
3
Q
d/dx(fg)
A
fg’+gf’
Product Rule
4
Q
d/dx(f/g)
A
(gf’-fg’)/g^2
Quotient Rule
5
Q
d/dx f(g(x))
A
f’(g(x))g’(x)
Chain rule
6
Q
d/dx cosx
A
-sinx
7
Q
d/dx tanx
A
sec^2x
8
Q
d/dx cotx
A
-csc^2x
9
Q
d/dx secx
A
secxtanx
10
Q
d/dx cscx
A
-cscxcotx
11
Q
d/dx e^x
A
e^x • x’
12
Q
d/dx a^x
A
a^x lna
13
Q
d/dx lnu
A
u
14
Q
d/dx arcsinu
A
(1-u^2)^1/2
15
Q
d/dx arctanu
A
(1+u^2)
16
Q
d/dx arcsecu
A
|u| (u^2-1)
17
Q
Mean Value Theorem
A
f’(c)= (f(b) - f(a))/ (a-b)
Calculus Formulas
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