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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-> 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 1021849: 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 robertb(5830) (Show Source):
You can put this solution on YOUR website! For sufficiently small enough h, f'(x) is very close to
==> hf'(x) is very close to f(x+h)-f(x)
==> 0.8*f'(89) is very close to f(89.8) - f(89).
Now f'(x) = if f(x) =
This means the difference is approximately equal to hf'(x) = 0.8*(85+19/89) = .
