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Numerade Educator

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Problem 30 Easy Difficulty

Differentiate $ f $ and find the domain of $ f. $

$ f(x) = \ln \ln \ln x $

Answer

$f^{\prime}(x)=\frac{1}{x \ln x \ln \ln x} ; \operatorname{Dom}(f)=\{x | x>e\}$

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Video Transcript

in this trouble working in the function were first has to find Derek off dysfunction. And then we're asked by the domain of dysfunction, we're gonna start from Veritas. Five banks will be So we have seen actual love. We're gonna start from outward and then moves to the internal. So we gonna have won over natural law. Natural. Thanks. Multiply by gravity. Oh, action! Log up. Next level X. That is what Over nature, Law, nation Look affects time salute our nation local Thanks. What's a black by? There is a au natural x Primal backs is equal to one over X It comes from here Times National log of X is disturbed Time station log off Next level There's all right now we want to decide on the domain We have three natural lots again satisfying this or making this define is not you know you want to make sure that this after national law as before So we don't have been in order for that. In order for this after nation locked be defined. We know that this argument right here financial log off natural local tax should be positive in order for that want to be posted. It means that the actual log of X should be greater than world, so this should be greater number. Just satisfy this. We don't know that X should be rated that he so domain is than all the numbers for a positive impunity opening toe.