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MATH HELP NOW

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I think part (a) is differentiation,
and part (b) is to prove its turning point (stationary point).

So differentiation has been done in the previous posts, resulting in
y’ = ((1/x)(x+1) - (1)(lnx)) / (x+1)^2

In part (b), we find the stationary point. Since at the stationary point, gradient is zero, so putting our derivative equal to zero results in the form: lnx = (x+1)/x (swap lnx and x, and u get the form)

Next you prove that the point is between x=3 and x=4.
Stationary point gradient = 0
The gradient before and after the stationary point have opposite signs.
Try putting in values: f'(3) and f'(4), they should have different signs. And thats it.
 
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