Answer:
f'(1)=150ln(1.5)
Step-by-step explanation:
I'm not sure why you would need a table since the limit definition of a derivative (from what I'm remembering) gives you the exact formula anyway... so hopefully this at least helps point you in the right direction.
My work is in the attachment but I do want to address the elephant on the blackboard real quick.
You'll see that I got to the point where I isolated the h's and just stated the limit equaled the natural log of something out of nowhere. This is because, as far as I know, the way to show that is true is through the use of limits going to infinity. And I'm assuming that you haven't even begun to talk about infinite limits yet, so I'm gonna ask you to just trust that that is true. (Also the proof is a little long and could be a question on it's own tbh. There are actually other methods to take this derivative but they involve knowing other derivatives and that kinda spoils a question of this caliber.)
Let there exists a point (x, y) on the given line.
Slope of all points must be same, as they lie on the same line.
=> (y - 1)/(x - 2) = (4 - 1)/(-4 - 2)
=> (y - 1)/(x - 2) = - 1/2
=> y - 1 = (-½) (x - 2)
Option 1 is the correct option
Answer:
no diagram
Step-by-step explanation:
Hey there,
The answer would be 132 hours..There is 24hours in a day so you multiply 24•5=120 then a half if a day is 12 hours, so you then add 12 to 120 which you get 132..
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