Let g(x) = x2 − 2/x.First find the slope m of the line joining (1, g(1)) and (2, g(2)). Then use the Newton-Raphson method to estimate the values of c for which g'(c) = m. Check that your calculator is set for at least 10 digit display. Continue the process until successive iterations obtained by the calculator are identical.m =  How many values of c in (1, 2) exist?   Enter values of c below in order from least to greatest. Enter DNE in any empty answer blanks.

Question
Let g(x) = x2 − 2/x.

First find the slope m of the line joining (1, g(1)) and (2, g(2)). Then use the Newton-Raphson method to estimate the values of c for which g'(c) = m. Check that your calculator is set for at least 10 digit display. Continue the process until successive iterations obtained by the calculator are identical.

m = 


How many values of c in (1, 2) exist?

 



Enter values of c below in order from least to greatest. Enter DNE in any empty answer blanks.

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MathCalculus

Derivative