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Question

If the tangent to a curve at a point (x, y) is equally inclined to the coordinates axes then write the value of dydx.

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Solution

Because the tangent to the curve at (x, y) is equally inclined to the coordinate axes, the angle made by the tangent with the axes can be ±45°.
dydx=Slope of the tangent=tan ±45=±1

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