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Derivatives on the Calculator

Derivatives on the Calculator. NDER. On the TI-83 to find the derivative we can use NDER. Example: Find the derivative of y = x 3 at x = 2 Press MATH 8 then type x ^ 3 , x , 2 ). Hit enter. Symmetric Difference Quotient.

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Derivatives on the Calculator

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  1. Derivatives on the Calculator

  2. NDER • On the TI-83 to find the derivative we can use NDER. • Example: Find the derivative of y = x3 at x = 2 Press MATH 8 then type x ^ 3 , x , 2 ). Hit enter.

  3. Symmetric Difference Quotient • Your calculator uses the symmetric difference quotient to compute NDER with h = .001 It is an approximation! It is not exact and can lead to a false answer.

  4. Example • To find NDER(x3,x,2) your calculator did this approximation

  5. Example • Find NDER(|x|, x, 0) (Note: This is f’(0) where f(x) = |x|) We know graphically that this DNE since there is a corner at x = 0. What does your calculator tell you? Why?

  6. Alternative method • To find the derivative of y = lnx when x = 2 • Enter lnx under Y1 then GRAPH • Press 2ND TRACE then 6(dy/dx), type enter 2 and press ENTER

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