Question

Consider the function: f(x) = x - 1/x^2 Step 1 of 2: Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that correspond to horizontal tangent lines.

Name: consider the function fx x 1x2 step 1 of 2 find all values of x that correspond to horizontal tangent lines select none if the function does not have any values of x that correspond to horiz 16749
Uploaded: 2021-10-04T17:09:47-08:00
Duration: 1 min 23 s
Channel: Gregory Higby
Description: consider the function fx x 1x2 step 1 of 2 find all values of x that correspond to horizontal tangent lines select none if the function does not have any values of x that correspond to horiz 16749

          Consider the function:
f(x) = x - 1/x^2

Step 1 of 2: Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that correspond to horizontal tangent lines.

Added by Eugenia O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Gregory Higby

10/04/2021

Step 1

The derivative of f(x) = x - 1/x^2 is given by f'(x) = 1 + 2/x^3. Setting f'(x) = 0, we get: 1 + 2/x^3 = 0 Show more…

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Consider the function: f(x) = x - 1/x^2 Step 1 of 2: Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that correspond to horizontal tangent lines.