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 – y1 = m(tangent)(x – x1)




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