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Byju's Answer
Standard XII
Mathematics
Higher Order Derivatives
If f'=2 and y...
Question
If
f
'
1
=
2
and
y
=
f
log
e
x
,
find
d
y
d
x
a
t
x
=
e
.
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Solution
We
have
,
f
'
1
=
2
and
y
=
f
log
e
x
Differentiate it with respect to x,
d
y
d
x
=
f
'
log
e
x
×
d
d
x
log
e
x
⇒
d
y
d
x
=
f
'
log
e
x
1
x
⇒
d
y
d
x
=
f
'
log
e
e
1
e
∵
x
=
e
⇒
d
y
d
x
=
f
'
1
1
e
∵
log
e
e
=
1
⇒
d
y
d
x
=
2
e
∵
f
'
1
=
2
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