y=2x+3 find derivative using inverse function
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Step-by-step explanation:
If
f
(
x
)
=
2
x
+
3
and
g
(
x
)
is the inverse of
f
(
x
)
then
XXX
f
(
g
(
x
)
)
=
x
XXX
→
2
g
(
x
)
+
3
=
x
XXX
→
g
(
x
)
=
1
2
x
−
3
2
and using the power rule for derivatives:
XXX
g
(
x
)
d
x
=
1
2
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