Casio FX-CG10 Software User Guide - Page 74
Using First Derivative Calculation in a Graph Function, First Derivative Calculation Precautions
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In this definition, infinitesimal is replaced by a sufficiently small Ax, with the value in the neighborhood of f' (a) calculated as: f (a + Ax) - f (a) f' (a)Լ ------A-x------ Example To determine the derivative at x = 3 for the function y = x3 + 4x2 + x - 6 Input the function f(x). AK4(CALC)2(d/dx)vMde+evx+v-ge Input point x = a for which you want to determine the derivative. dw Using First Derivative Calculation in a Graph Function • You can omit input of the value a in the syntax on page 2-27 by using the following format for the first derivative graph: Y2 = d/dx (Y1). In this case, the value of the X variable is used instead of the value a. First Derivative Calculation Precautions • In the function f(x), only X can be used as a variable in expressions. Other variables (A through Z excluding X, r, Ƨ) are treated as constants, and the value currently assigned to that variable is applied during the calculation. • Pressing A during calculation of a first derivative (while the cursor is not shown on the display) interrupts the calculation. • 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 - first derivative calculation results approaching zero • Always use radians (Rad mode) as the angle unit when performing trigonometric first derivatives. • You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value, Solve or RndFix calculation expression inside a first derivative calculation term. 2-28