Mathematics: 1) Find all the critical numbers of the given function f(x) = X 1 - 4 - 3

1) Find all the critical numbers of the given function

Ответ:

437012

25.03.2021

Mathematics

(0,-4)

Step-by-step explanation:

Given

$f(x) = x^\frac{1}{3} - 4$

Required

Determine the critical numbers

$f(x) = x^\frac{1}{3} - 4$

Differentiate:

$f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}$

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

Equate to 0

$f'(x) = \frac{1}{3}x^{-\frac{2}{3}} = 0$

$\frac{1}{3}x^{-\frac{2}{3}} = 0$

Multiply through by 3

$3 * \frac{1}{3}x^{-\frac{2}{3}} = 0*3$

$x^{-\frac{2}{3}} = 0$

x = 0

Substitute 0 for x in $f(x) = x^\frac{1}{3} - 4$

$f(0) = 0^\frac{1}{3} - 4$

f(0) = 0- 4

f(0) = - 4

Hence, the critical point is: (0,-4)

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Ответ:

bossboybaker

25.09.2021

Mathematics

Ionizing radiation is radiation with enough energy so that during an interaction with an atom, it can remove tightly bound electrons from the orbit of an atom, causing the atom to become charged or ionized. ... Forms of electromagnetic radiation.

(from google)

thank you :)

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1) Find all the critical numbers of the given function f(x) = X 1 - 4
-
3

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