kDifferential Calculations

Your calculator performs differential calculations by approximating the derivative based on centered difference approximation.

d/dx( f(x), a, tol)

f(x): Function of X (All non-X variables are treated as constants.)

a: Input a value to specify the point for which the derivative should be obtained (differential point)

tol: Tolerance range (input/output format: Linear)

•You can omit specification of the tolerance range. A default value of 1 ⋅ 10–10is used when you do.

•∫(, d/dx(, Pol(, Rec(, and Σ( cannot be used within f(x), a, or tol.

•Differential calculations can be performed in the COMP Mode only.

•When performing a differential calculation involving trigonometric functions, specify Rad as the calculator’s default angle unit.

•A “Time Out” error occurs when a differential calculation ends without the ending condition being fulfilled.

•A smaller tol value provides better precision, but it also causes the calculation to take more time. Specify a tol value that is 1 ⋅ 10–14or greater.

•You cannot input a tol value when using Math format.

•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

•Pressing Awill interrupt an ongoing differential calculation.

Appendix

<#033> Determine f ’( π ) when f(x) = sin(x)

2

(tol specification omitted.)

<#034> dxd (3x2 – 5x + 2, 2, 1⋅10–12) = 7

E-36