Wiki-Quellcode von Lösung Aus Term
Zuletzt geändert von Niklas Wunder am 2024/10/14 11:12
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author | version | line-number | content |
---|---|---|---|
1 | a) Ansatz mit dem Differenzenquotient {{formula}}\overline{m_f} = \frac{\Delta y}{\Delta x}{{/formula}} | ||
2 | |||
3 | {{formula}} | ||
4 | \overline{m_f} = \frac{f(2)-f(-3)}{2-(-3)} = \frac{(5\cdot 2^2 -3)- (5\cdot (-3)^2 - 3)}{5} = \frac{59}{5} = 11{,}8 | ||
5 | {{/formula}} | ||
6 | |||
7 | b) Ansatz mit dem Differenzenquotient {{formula}}\bar m_g = \frac{\Delta y}{\Delta x}{{/formula}} | ||
8 | |||
9 | {{formula}} | ||
10 | \overline{m_g} = \frac{f(2)-f(-3)}{2-(-3)} = \frac{2^2-2^{-3}}{5} = \frac{31}{40} = 0{,}775 | ||
11 | {{/formula}} |