If y = ax+b then dy/dx is b
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2
Answer:
Step-by-step explanation:
Explanation:
Think of
a
and
b
as real numbers. So when you differentiate
y
with respect to
x
, you will get:
y
=
a
x
+
b
d
y
d
x
=
a
For example, say
y
=
2
x
+
1
An easy way to do this is by separating and differentiating each term separately:
So,
=
d
y
d
x
(
2
x
)
+
d
y
d
x
(
1
)
Differentiating
d
y
d
x
(
2
x
)
=
2
Differentiating
d
y
d
x
(
1
)
=
0
Therefore, the differential of
y
=
2
x
+
1
is
2
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