Problem

Find the derivative of the function. $ f(x) = (2…

04:45

Problem 16 Easy Difficulty

Find the derivative of the function.
$ g(x) = e^{x^2 - x} $

Answer

$e^{x^{2}-x}(2 x-1)$

Discussion

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Video Transcript

Let's find the derivative of G of X and G of X is a composite function. It has one function inside the other. The outside function is the E to the X function, and the inside function is the X squared minus X function. Now remember the derivative of each of the exes, each of the X, So the derivative of E to the something will be e to the something times the derivative of the inside. So are derivatives going to be the derivative of the outside E to the something so e to the X squared minus x times the derivative of the inside? So the derivative of that power to X minus one

Heather Z.

Oregon State University

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 4

The Chain Rule

Problem

Find the derivative of the function. $ f(x) = (2…

Problem 16 Easy Difficulty

Find the derivative of the function.
$ g(x) = e^{x^2 - x} $

Answer

$e^{x^{2}-x}(2 x-1)$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Catherine R.

Kristen K.

Michael J.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Catherine R.

Kristen K.

Michael J.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Problem

Find the derivative of the function. $ f(x) = (2…

Problem 16 Easy Difficulty

Find the derivative of the function.$ g(x) = e^{x^2 - x} $

Answer

$e^{x^{2}-x}(2 x-1)$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Catherine R.

Kristen K.

Michael J.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Catherine R.

Kristen K.

Michael J.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Find the derivative of the function.
$ g(x) = e^{x^2 - x} $