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Byju's Answer
Standard XII
Mathematics
Rate of Change
If displaceme...
Question
If displacement x is a function of time t and
x
=
4
t
5
+
3
t
3
+
9
t
+
5
t
, then find
d
x
d
t
.
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Solution
Given,
x
=
4
t
5
+
3
t
3
+
9
t
+
5
t
d
x
d
t
=
20
t
4
+
9
t
2
+
9
−
5
t
2
.........
[
∵
d
d
x
x
n
=
n
x
n
−
1
]
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