1/x derivative

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1/x derivative

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This comes, once again, straight out of our exponent properties. That is, delta X approaches zero N approaches zero. So now we can use a few logarithm 1/x derivative.

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1/x derivative

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Workday uwaterloo

Downvote Button navigates to signup page. Let me close that parenthesis. You could do a change of variables. Zhiyuan Liu. David Staver. So all of this is going to be equal to the limit as delta X approaches zero of the natural log of this divided by that. If I raise something to the exponent and that's times something else, I can that's the same thing as raising it to the first exponent. In the first video at And now, what really gets affected is what's going on inside of the natural log. Well, in that case, then if you multiply both sides by X you get delta X is equal to NX. Which we have over here. Well actually, let me just rewrite this another time. So now we can use a few logarithm properties.

Then we see how to compute some simple derivatives.

So let's get started. Posted 6 years ago. And you could think about it the other way around as N approaches zero, delta X approaches zero. Well, what's the natural log of E? Well, inside of this logarithm X divided by X is one. What is inside the natural log here? As delta X is approaching zero what is N going to approach? And so let's bring the limit inside of that. Chuck B. Well jee, all I did, if I have natural log of that minus natural log of that that's the same thing as natural log of this first expression divided by that second expression. Now this is exciting. Well, in that case, then if you multiply both sides by X you get delta X is equal to NX. X plus delta X over X all of that over delta X. Zero over X, well that's just gonna be zero for any X that is not equal to zero.