Question

2. Let $f(x) = x - \frac{3}{2}x^{\frac{2}{3}}$. Find the critical point(s) of $f$ and use the first derivative test to determine whether the critical point is a local maximum, minimum or neither.

Name: 2 let fx x frac32xfrac23 find the critical points of f and use the first derivative test to determine whether the critical point is a local maximum minimum or neither 00366
Uploaded: 2022-03-28T14:58:35-08:00
Duration: 1 min 27 s
Channel: Lucas Finney
Description: 2 let fx x frac32xfrac23 find the critical points of f and use the first derivative test to determine whether the critical point is a local maximum minimum or neither 00366

          2. Let $f(x) = x - \frac{3}{2}x^{\frac{2}{3}}$. Find the critical point(s) of $f$ and use the first derivative test to determine whether the critical point is a local maximum, minimum or neither.

$2 let fx x frac32xfrac23 find the critical points of f and use the first derivative test to determine whether the critical point is a local maximum minimum or neither 00366$

Added by Adam R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Lucas Finney

03/28/2022

Step 1

$$f'(x) = 1 - \frac{3}{2} \cdot \frac{2}{3} x^{\frac{2}{3} - 1} = 1 - x^{-\frac{1}{3}} = 1 - \frac{1}{x^{\frac{1}{3}}}$$ Show more…

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2. Let $f(x) = x - \frac{3}{2}x^{\frac{2}{3}}$. Find the critical point(s) of $f$ and use the first derivative test to determine whether the critical point is a local maximum, minimum or neither.