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Differentiate $ f $ and find the domain of $ f. $
$ f(x) = \ln \ln \ln x $
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01:31
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 6
Derivatives of Logarithmic Functions
Derivatives
Differentiation
Missouri State University
Campbell University
Oregon State University
University of Michigan - Ann Arbor
Lectures
04:40
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
44:57
In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
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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.
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