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```         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 s y = 2x2 and the slope of tangent is tanθ = dy/dx= 4x.
X    1    2     3       4      5      6       7        8         9       10
Y    2    8    18    32    50    72    98    128    162    200
```
5 years ago

Navjyot Kalra
654 Points
```
Sol. The graph y = 2x2 should be drawn by the student on a graph paper for exact
results.
To find slope at any point, draw a tangent at the point and extend the line to meet
x-axis. Then find tan θ as shown in the figure.

It can be checked that,

Slope = tan θ = dy/dx = d/dx (2x2) = 4x
Where x = the x-coordinate of the point where the slope is to be measured.

```
5 years ago
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• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions