Q. 155.0( 3 Votes )

# Find the equation of all lines of slope zero and that is tangent to the curve

Answer :

finding the slope of the tangent by differentiating the curve

Now according to question, the slope of all tangents is equal to 0, so

Therefore the only possible solution is x = 1

since this point lies on the curve, we can find y by substituting x

equation of tangent is given by y – y_{1} = m(tangent)(x – x_{1})

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Find the equation of tangent to the curve , at the point, where it cuts the x-axis.

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