Skillnad mellan versioner av "3.3 Lösning 1a"
Taifun (Diskussion | bidrag) (Skapade sidan med '::<math> f(x) = -x^3 + 1</math> ::<math> f'(x) = -3\,x^2 </math> ::<math> f'(0) = 3\cdot 0^2 = 3\cdot 0 = 0 </math>') |
Taifun (Diskussion | bidrag) m |
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| (3 mellanliggande versioner av samma användare visas inte) | |||
| Rad 1: | Rad 1: | ||
| − | + | <math>\quad\begin{array}{rclcl} \boxed{2\,x} \, - \, 6 \; & = & 10 & \qquad & {\rm Täck\;över\;} 2\,x \\ | |
| + | \boxed{\;\,?\;\,} \, - \, 6 \; & = & 10 & & \\ | ||
| + | \quad \boxed{\,16\,} \, - \, 6 \; & = & 10 & & | ||
| + | \end{array}</math> | ||
| − | + | <math> \qquad\qquad\;\; \Downarrow </math> | |
| − | + | <math> \;\; \begin{array}{rclcl} 2 \;\, \cdot \;\, x \; & = & 16 & \qquad & {\rm Täck\;över\;} x \\ | |
| + | 2 \;\, \cdot \; \boxed{x} & = & 16 & & \\ | ||
| + | 2 \;\, \cdot \; \boxed{?} & = & 16 & & \\ | ||
| + | 2 \;\, \cdot \; \boxed{8} & = & 16 & & \\ | ||
| + | \end{array}</math> | ||
| + | |||
| + | <math> \qquad\;\;\;\, \Downarrow </math> | ||
| + | |||
| + | <math> \quad\;\;\, x \; = \; 8 </math> | ||
| + | |||
| + | |||
| + | <!-- Appens kod: | ||
| + | |\quad\begin{array}{rclcl} \boxed{2\,x} \, - \, 6 \; & = & 10 & \qquad & {\rm Täck\;över\;} 2\,x \\ | ||
| + | \boxed{\;\,?\;\,} \, - \, 6 \; & = & 10 & & \\ | ||
| + | \quad \boxed{\,16\,} \, - \, 6 \; & = & 10 & & | ||
| + | \end{array}| | ||
| + | |||
| + | | \qquad\qquad\;\; \Downarrow | | ||
| + | |||
| + | | \;\; \begin{array}{rclcl} 2 \;\, \cdot \;\, x \; & = & 16 & \qquad & {\rm Täck\;över\;} x \\ | ||
| + | 2 \;\, \cdot \; \boxed{x} & = & 16 & & \\ | ||
| + | 2 \;\, \cdot \; \boxed{?} & = & 16 & & \\ | ||
| + | 2 \;\, \cdot \; \boxed{8} & = & 16 & & \\ | ||
| + | \end{array}| | ||
| + | |||
| + | | \qquad\;\;\;\, \Downarrow | | ||
| + | |||
| + | | \quad\;\;\, x \; = \; 8 | | ||
| + | --> | ||
| + | |||
| + | |||
| + | <!-- Enklare uppgift: | ||
| + | ::<math> \quad \begin{array}{rclcl} x \;\, - \; 7 & = & 10 & \qquad & {\rm Täck\;över\;} x \\ | ||
| + | \boxed{x} \;\, - \; 7 & = & 10 & & \\ | ||
| + | 17 \;\, - \; 7 & = & 10 & & \\ | ||
| + | \end{array}</math> | ||
| + | |||
| + | ::<math> \quad\;\; \Downarrow </math> | ||
| + | |||
| + | ::<math> \;\, x \; = \; 17 </math> | ||
| + | --> | ||
Nuvarande version från 14 februari 2020 kl. 14.42
\(\quad\begin{array}{rclcl} \boxed{2\,x} \, - \, 6 \; & = & 10 & \qquad & {\rm Täck\;över\;} 2\,x \\ \boxed{\;\,?\;\,} \, - \, 6 \; & = & 10 & & \\ \quad \boxed{\,16\,} \, - \, 6 \; & = & 10 & & \end{array}\)
\( \qquad\qquad\;\; \Downarrow \)
\( \;\; \begin{array}{rclcl} 2 \;\, \cdot \;\, x \; & = & 16 & \qquad & {\rm Täck\;över\;} x \\ 2 \;\, \cdot \; \boxed{x} & = & 16 & & \\ 2 \;\, \cdot \; \boxed{?} & = & 16 & & \\ 2 \;\, \cdot \; \boxed{8} & = & 16 & & \\ \end{array}\)
\( \qquad\;\;\;\, \Downarrow \)
\( \quad\;\;\, x \; = \; 8 \)
