Find the equation of tangent to the curve =
2
at (−1,1)
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1
Answer:
Slope of the tangent to the curve at any point (x,y)=
dx
dy
at (x,y)
dx
dy
=
dx
d(3x
2
)
=6x
At (1,1), the slope of the tangent would be 6
Hence, the equation of line passing through (1,1) and having a slope of 6 is given by
y−1=6(x−1)
⇒6x−y=5
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