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Locate all critical points.$$f(x)=4-x^{2 / 3}$$

$$(0,4)$$

Calculus 1 / AB

Chapter 3

Applications of the Derivative

Section 1

Extrema of a Function

Derivatives

Harvey Mudd College

Baylor University

University of Nottingham

Boston College

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.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

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Locate all critical points…

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Determine all critical poi…

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Find all critical points o…

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We first take the relative to this function. It's too robert areas of primates, echoes Miners to 3rd time's eggs. to a power of 2 3rd -1 pictures. Access to the power of minors, man. 3rd, you know, we can rewrite it as one over X to empower one third, know that the direct you cannot be there enhance. It can only fails through the cyst and That gives Alex equals zero and the function value at their role is for enhance. This function has one critical point, which is 04.

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