Draw a graph from the following data. Draw tangents at \( x=2,4,6 \) and 8 . Find the slopes of ...
Draw a graph from the following data. Draw tangents at \( x=2,4,6 \) and 8 . Find the slopes of these tangents. Verify that the curve drawn is \( y=2 x^{2} \) and the slope of tangent is \( \tan \theta=\frac{d y}{d x}=4 x \).
\( \begin{array}{ccccccccccc}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ y & 2 & 8 & 18 & 32 & 50 & 72 & 98 & 128 & 162 & 200\end{array} \)
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