Section 2.4 – Calculating the Derivative Numerically.

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Presentation transcript:

Section 2.4 – Calculating the Derivative Numerically

The Numerical Derivative on the TI-83: Estimates the value of a derivative at a particular point Does NOT compute the derivative Is computed by computing the slope of a secant line extremely close to the value of x. Does NOT know when the derivative is undefined. Is MATH 8 on your calculator

WARNING……. f ‘ (x) is undefined at x = 0

Find the equation of the line tangent to F(x) into Y1 Store 2 into x Compute Y1 VARS -> CR CR CR Compute f ‘ (x) using Y1

Find the equation of the line tangent to Store equation into Y1 Store 5 into x Compute Y1 Compute f ‘ (5) Write Equation Store equation into Y1 Store 2 into x Compute f ‘ (2) 2 nd ENTER and change to 4 2 nd ENTER and change to 0 2 nd ENTER and change to 3

Sketch f(x) and f ‘ (x) on the same graph if Use an x interval of [-6, 6] and y interval of [-5, 5]