SOLUTION: Using differentiation, estimate how much the function f(x)= ax + bln(x) increases by, to 2 decimal places, when a = 85 and b = 19, if x increases from 89 to 89.8

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Question 1021879: Using differentiation, estimate how much the function
f(x)= ax + bln(x)


increases by, to 2 decimal places, when a = 85 and b = 19, if x increases from 89 to 89.8

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Seems like the hard way to do it.
Why not just use f(x)?
.
.

.
.
I'll take the value of the derivative at the average of the two x values,




As a comparison,

Pretty good approximation

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