Let
y
=
(
5
⋅
x
2
+
12
⋅
x
+
2
)
⋅
(
3
⋅
x
+
13
)
\displaystyle {y}={\left({5}\cdot{x}^{{2}}+{12}\cdot{x}+{2}\right)}\cdot{\left({3}\cdot{x}+{13}\right)}
y
=
(
5
⋅
x
2
+
12
⋅
x
+
2
)
⋅
(
3
⋅
x
+
13
)
Use the Product Rule to find
d
y
d
x
\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}
d
x
d
y
d
y
d
x
=
\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=
d
x
d
y
=
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Question 6
Do NOT simplify your answer.
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\displaystyle