Find the equation of all lines having slope 2 which are tangents to the curve.

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Solution

The equation of the given curve is.

The slope of the tangent to the given curve at any point (x, y) is given by,

If the slope of the tangent is 2, then we have:

Hence, there is no tangent to the given curve having slope 2.

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Similar questions

Find the equations of all lines having slope 0 which are tangent to the curve $y = \frac{1}{x^{2} - 2 x + 3}$

y = \frac{1}{x - 3}, x \neq 3

2

y + \frac{2}{x - 3} = 0

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