Problem

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

01:45

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) $

Answer

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00:46

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Discussion

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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.

Clarissa N.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Top Calculus 1 / AB Educators

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University

Joseph L.

Boston College