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Problem

Find $ f'(x) $. Compare the graphs of $ f $ and $…

01:45

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Problem 40 Medium Difficulty

Fidn an equation of the tangent line to the curve at the given point. Illustrate by graphing the curve and the tangent line on the same scree.
$ y = x - \sqrt{x}, (1,0) $


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00:46

Frank Lin

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Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Related Topics

Derivatives

Differentiation

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Top Calculus 1 / AB Educators
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Missouri State University

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Lectures

Video Thumbnail

04:40

Derivatives - Intro

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

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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Problem 15
Problem 16
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Problem 18
Problem 19
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Problem 25
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Problem 28
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Problem 31
Problem 32
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Problem 35
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Problem 38
Problem 39
Problem 40
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Problem 42
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Problem 45
Problem 46
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Problem 48
Problem 49
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Problem 51
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Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
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Problem 59
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Video Transcript

yet clear. So enumerators. So we have. Why is equal to X minus square root of X. You take the derivative D Y over DX, we get one minus one over two square root of X, and we plug in one. This becomes equal to 1/2. We used the point slope form. We get 1/2 X minus 1/2. Next, we're going to graph our equation. So we're gonna do our original in black, and I will look something like this then are derivative in red. What? Here is uncommon, sir.

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Calculus: Early Transcendentals

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Related Topics

Derivatives

Differentiation

Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Derivatives - Intro

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

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.

Join Course
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