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You are here: Course Notes » Math 104: Introduction to Real Analysis (2021 Fall) » HW 13
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pzhou ↷ Page moved from math104:hw13 to math104-f21:hw13 		math104-f21:hw13 [2022/01/11 18:30] (current)
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 3. Ross Ex 29.3 3. Ross Ex 29.3
  
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 Consider the interval $[0,2]$, the slope of the segment $\frac{f(2)-f(0)}{2-0} = 1/2$, hence there is an $x_1 \in (0,2)$, such that $f'(x_1)=1/2$. Consider the interval $[0,2]$, the slope of the segment $\frac{f(2)-f(0)}{2-0} = 1/2$, hence there is an $x_1 \in (0,2)$, such that $f'(x_1)=1/2$.
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 4. Ross Ex 29.5  4. Ross Ex 29.5 
  
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 We can prove that $f'(x)=0$ for all $x$, indeed, we have We can prove that $f'(x)=0$ for all $x$, indeed, we have
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 (a) Taking derivatives once both upstairs and downstairs, we get  (a) Taking derivatives once both upstairs and downstairs, we get 
math104-f21/hw13.1641918978.txt.gz · Last modified: 2022/01/11 08:36 by pzhou

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