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Byju's Answer
Standard XII
Mathematics
Algebra of Derivatives
Find the slop...
Question
Find the slope of tangent to the curve
y
=
3
x
2
−
6
at the point on it whose
x
−
coordinate is
2.
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Solution
y
=
3
x
2
−
6
Differentiating both sides w.r.t. x, we get,
d
y
d
x
=
6
x
At
x
=
2
, slope of tangent
[
d
y
d
x
]
x
=
2
=
6
(
2
)
=
12
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