Question: Show that StartFraction d Over dx EndFraction left parenthesis 3 Superscript x Baseline right parenthesis vertical line Subscript x equals 0 almost equals 1.10 ddx3xx=01.10

Show that

StartFraction d Over dx EndFraction left parenthesis 3 Superscript x Baseline right parenthesis vertical line Subscript x equals 0 almost equals 1.10

ddx3xx=01.10

by calculating the slope StartFraction 3 Superscript h Baseline minus 1 Over h EndFraction

3h1h of the secant line passing through the points left parenthesis 0 comma 1 right parenthesis

(0,1) and left parenthesis h comma 3 Superscript h Baseline right parenthesis

h,3h. Take hequals

=0.1, 0.01, and 0.001.

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