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Differentiate the function.

$ y = \frac{l}{\ln x} $

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$\frac{-1}{x[\ln x]^{2}}$

00:31

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

Derivatives

Differentiation

Campbell University

Harvey Mudd College

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.

01:37

Differentiate the function…

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Differentiate.$$y=\ln …

In this problem were as to find the veto on ordination log of x, let's first write this function as natural log of x to the power negative .1 natural log of x, numerous and y prime. That would be negative 1 times natural log of x, negative 2 multiplied by derivative of inner function, which is dash log of x. Now we know that the relative of natural log of x is equal to 1 over x, so we can then write. This 1 is negative 1 divided by x times, natural log of x square.

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