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If $ f(x) = \sin x + \ln x, $ find $ f'(x). $ Check that your answer is reasonable by comparing the graphs of $ f $ and $ f'. $

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00:13

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

Derivatives

Differentiation

Missouri State University

University of Michigan - Ann Arbor

Idaho State University

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 programme were given a function of X s sign, expose nation fights and reverse us to point the width of destruction and put the function itself under there from saying ground and sea after function affidavit it makes sense or given other things, we find time effects as outsider fights. Plus one of ex you could use any old one function porter to put those this Booker is a veritable dysfunction and this right, what? Its function itself. Does it make sense? Well, actually, yes. As we can see, especially at this point right here the directive goes for positive to negative. It means that the function that report should first increase and then degrees is that what separates function yes, actually increases at first and then starts decreasing. Also, we have another point. Here's a very few goes from negative positive and at this point is you can see function first decreases and then increase. So there were to be found is correct

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