Question

If the tangent to a curve at a point (x, y) is equally inclined to the coordinates axes then write the value of \[\frac{dy}{dx}\] ?

Answer 1

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 \[\pm\] 45°

\[\therefore\frac{dy}{dx}=\text { Slope of the tangent }=\text { tan }\left( \pm 45 \right)=\pm1\] .