Draw a graph from the following data . Draw tangents at x=2,4,6 and 8 . Find the slopes pf these tangents . Verify that the curve drawn is y=x^2 and the slope of tangent is tan Ф = 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
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ANSWER::
See the figure.
To find slope at any point , we have to draw a tangent at the point and extend the line to meet x-axis. Then we have to find tan Ф
Slope = tan Ф = dy/dx = d(2x²) / dx = 4x
where , x = x-coordinate of the point where slope is to be measured.
Hope it helps!
ANSWER::
See the figure.
To find slope at any point , we have to draw a tangent at the point and extend the line to meet x-axis. Then we have to find tan Ф
Slope = tan Ф = dy/dx = d(2x²) / dx = 4x
where , x = x-coordinate of the point where slope is to be measured.
Hope it helps!
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