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56
This average, which is called the
central difference
, is expressed as:
uu
uu
uTo perform a differential calculation
Example To determine the derivative at point x = 3 for the function
y = x
3
+ 4x
2
+ x – 6, when the increase/decrease of x is defined
as
AA
AA
Ax = 1E – 5
Input the function
f(x).
AK4(CALC)2(
d/dx)vMd+evx+v-g,
Input point x = a for which you want to determine the derivative.
d,
Input A
x, which is the increase/decrease of x.
bE-f)
w
• In the function f(x), only X can be used as a variable in expressions. Other
variables (A through Z, r,
θ
) are treated as constants, and the value currently
assigned to that variable is applied during the calculation.
• Input of Ax and the closing parenthesis can be omitted. If you omit Ax, the
calculator automatically uses a value for Ax that is appropriate for the deriva-
tive value you are trying to determine.
• Discontinuous points or sections with drastic fluctuation can adversely affect
precision or even cause an error.
3 - 2 Differential Calculations
1 f (a + Ax) – f (a) f (a) – f (a – Ax)
f '(a) = –– ––––––––––––– + –––––––––––––
2 Ax Ax
f (a + Ax) – f (a – Ax)
= –––––––––––––––––
2Ax
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