Q. 205.0( 1 Vote )

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Answer :

finding the slope of the tangent by differentiating the curve



According to the question, tangent is parallel to the x – axis , which implies m = 0




x = 3 or x = 2


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


y = 2(3)3 – 15(3)2 + 36(3) – 21


y = 6


or


y = 2(2)3 – 15(2)2 + 36(2) – 21


y = 7


equation of tangent is given by y – y1 = m(tangent)(x – x1)


y – 6 = 0(x – 3)


y = 6


or


y – 7 = 0(x – 2)


y = 7


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