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Questions  

The tangent line at (2, 4) to the curve y = x33x+2 meets the x-axis at

a
(2, 0)
b
72,0
c
119,0
d
149,0

detailed solution

Correct option is D

dydx=3x2-3=3x2-1dydxx=2=3(4-1)=9Equation of tangent at (2, 4) isY – 4 = 9(X – 2)This meets x-axis if Y = 0 ⇒  -49=X-2  ⇒  X=2-49=149

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