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Byju's Answer
Standard XII
Mathematics
Chain Rule of Differentiation
If y = 5x x...
Question
If
y
=
5
x
x
5
, then
d
y
d
x
is
A
5
x
(
x
5
log
5
−
5
x
4
)
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B
x
5
log
5
−
5
x
4
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C
x
5
log
5
+
5
x
4
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D
5
x
(
x
5
log
5
+
5
x
4
)
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Solution
The correct option is
D
5
x
(
x
5
log
5
+
5
x
4
)
y
=
5
x
x
5
On differentiating w.r.t. x, we get
d
y
d
x
=
5
x
log
5
⋅
x
5
+
5
x
5
x
4
=
5
x
(
x
5
log
5
+
5
x
4
)
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