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Byju's Answer
Standard XII
Mathematics
Log Function
If e^y (x+1) ...
Question
If e^y (x+1) =1 then show that dy/dx = -e^y
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Solution
Dear Student.
e
y
(
x
+
1
)
=
1
.
x
+
1
=
e
-
y
d
i
f
f
e
r
e
n
t
i
a
t
i
n
g
w
.
r
.
t
x
w
e
g
e
t
.
1
+
0
=
-
e
-
y
d
y
/
d
x
1
=
-
1
e
y
d
y
d
x
d
y
d
x
=
-
e
y
.
Regards.
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