Dawnbridge

TI-Nspire CX II field manual for IB Math

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28

Evaluating f′(a) numerically

All courses

Use the calculator's derivative template to evaluate f′(a) at a specified point.

Goal

Find ​f′(2.5)​ for ​f(x)=xx.

1

From the Scratchpad calculator, press → 4: Calculus → 1: Numerical Derivative at a Point.

2

Fill in the dialog, moving between fields with : Variable: x, Value: 2.5, Derivative: 1st Derivative. Select OK and press .

Scratchpad
RAD
Numerical Derivative at a Point
Variable:x▶
Value:2.5▶
Derivative:1st Derivative▶
OKCancel
3

The d/dx(▯)|x=2.5 template lands on the entry line with the cursor in the expression box. Type for the function.

4

Press to evaluate.

Scratchpad
RAD
dxd​(xx)∣∣∣​x=2.5​
18.937
Result

​f′(2.5)≈18.9.

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    Find ​f′(1.8)​ for ​f(x)=x2x.

  2. 2

    Find ​f′(4)​ for ​f(x)=(lnx)x.

  3. 3

    Find ​f′(3)​ for ​f(x)=x1/x.