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Mathematics
Problem
Differentiate the function
y
=
(
x
3
+
x
)
sec
x
(
sin
x
+
x
2
)
.
y=(x^{3}+x)\,\sec x\,(\sin x+x^{2}).
y
=
(
x
3
+
x
)
sec
x
(
sin
x
+
x
2
)
.
Express
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
completely in expanded form, showing every term produced by each application of differentiation rules.
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