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15-01-2022
Mathematics

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Deos (f prime) (-4) exist?

Respuesta :

15-01-2022

Answer:

F'(-4) does not exist

Step-by-step explanation:

find F prime by doing first derivative on the function F(t)

We can see that

[tex]F'= \frac{1}{2\sqrt{t+4}}\\[/tex]

At F'(-4), F' would equal [tex]\frac{1}{2\sqrt{-4+4}} = \frac{1}{0}[/tex], this is undefined, thus F'(-4) does not exist

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