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Byju's Answer
Standard XII
Physics
Basic Differentiation Rule
The values of...
Question
The values of
x
at which the slope of tangent drawn to the curve
f
(
x
)
=
x
3
−
12
x
is zero are _____
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Solution
Slope of the tangent to the curve
f
(
x
)
is given by
f
′
(
x
)
⇒
f
′
(
x
)
=
3
x
2
−
12
To find the point where slope is zero is,
f
′
(
x
)
=
0
⇒
3
x
2
−
12
=
0
⇒
3
x
2
=
12
⇒
x
2
=
4
⇒
x
=
±
2
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