Find the equation to the tangent and normal to the curve y = 3x^+x-2 at (1, 2).
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Answer:
Given curve is y=3x
2
−x+1
dx
dy
=6x−1, differentiate the curve
So slope of tangent at (1,3) is, m=
dx
dy
∣
∣
∣
∣
∣
(1,3)
=6(1)−1=5
Hence equation of tangent passes through (1,3) is given by
y−3=5(x−1)
⇒y−3=5x−5
⇒5x−y=2
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