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Question

Find the slope of the tangent to the curve y=2x at the point (1,2).

A
4
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B
2
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C
1
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D
5
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Solution

The correct option is C 1
y=2x
dydx=2(1(2x))=1x
dydx is called slope of the tangent to the curve y=2x at the point (x,y). For the point x=1 and y=2. Putting x=1 and y=2 in the equation dydx=1x , we get dydx=11. Hence slope is 1.

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