3.2 Question 54

3.2 Question 54

Postby Eigenvalue » Wed Sep 23, 2026 6:50 pm

Use the definition of the derivative to find f'(x).

f(x)=6
Eigenvalue
 
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Re: 3.2 Question 54

Postby Eigenvalue » Wed Sep 23, 2026 6:51 pm

f'(x)= [tex]\lim_{x \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

=[tex]\frac{6-6}{h}[/tex]
=0

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Re: 3.2 Question 54

Postby nycmath » Wed Sep 23, 2026 9:11 pm

Eigenvalue wrote:f'(x)= [tex]\lim_{x \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

=[tex]\frac{6-6}{h}[/tex]
=0


Is this the Stewart textbook?

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Re: 3.2 Question 54

Postby Eigenvalue » Wed Sep 23, 2026 11:42 pm

nycmath wrote:
Eigenvalue wrote:f'(x)= [tex]\lim_{x \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

=[tex]\frac{6-6}{h}[/tex]
=0


Is this the Stewart textbook?
This is from the OpenStax calculus textbook, volume 1.

Eigenvalue
 
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Re: 3.2 Question 54

Postby nycmath » Thu Sep 24, 2026 4:15 am

Eigenvalue wrote:
nycmath wrote:
Eigenvalue wrote:f'(x)= [tex]\lim_{x \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

=[tex]\frac{6-6}{h}[/tex]
=0


Is this the Stewart textbook?
This is from the OpenStax calculus textbook, volume 1.


Ok. Cool.

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