2-5-3

Numerical Calculations

Example

To determine the derivative at point x = 3 for the function

 

y = x3 + 4x2 + x – 6, with a tolerance of “tol” = 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 the tolerance value.

bE-f)

w

<Math>

A4(MATH)4(d/dx)vMde

+evx+v-ged

w

#In the function f(x), only X can be used as

a variable in expressions. Other variables (A through Z excluding X, r, θ) are treated as constants, and the value currently assigned to that variable is applied during the calculation.

#Input of the tolerance (tol) value and the

closing parenthesis can be omitted. If you omit tolerance (tol) value, the calculator automatically uses a value for tol as 1E-10.

#Specify a tolerance (tol) value of 1E-14 or greater. An error (Time Out) occurs whenever no solution that satisfies the tolerance value can be obtained.

#In the Math input mode, the tolerance value is fixed at 1E-10 and cannot be changed.

#Inaccurate results and errors can be caused by the following:

-discontinuous points in x values

-extreme changes in x values

-inclusion of the local maximum point and local minimum point in x values

-inclusion of the inflection point in x values

-inclusion of undifferentiable points in x values

-differential calculation results approaching zero

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