January 2014
Intermediate to advanced
144 pages
4h 2m
English
Content preview from Mathematical Formulas for Industrial and Mechanical Engineering
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1.8 Calculus Symbols
Symbols How to Read It How to Use It Examples
lim
x!x0
f ðxÞ Limit limit value of a function
ε epsilon represents a very small
number, near zero
ε!0
e e constant/Euler’s
number
e 5 2.718281828... e 5 lim(1 1 1/x)
x
, x!N
y
0
derivative derivative—Leibniz’s
notation
(3x
3
)
0
5 9x
2
yv second derivative derivative of derivative (3x
3
)v 5 18x
y
(n)
nth derivative n times derivation (3x
3
)
(3)
5 18
dy
dx
derivative derivative—Lagrange’s
notation
d(3x
3
)/dx 5 9x
2
d
2
y
dx
2
second derivative derivative of derivative d
2
(3x
3
)/dx
2
5 18x
d
n
y
dx
n
nth derivative n times derivation
_
y time derivative derivative by time—
Newton notation
€
y time second
derivative
derivative of derivative ...
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