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Mathematics
Mathematics
Problem
Let
y
=
[
tan
−
1
(
(
2
x
+
3
)
5
)
]
4
y=\bigl[\tan^{-1}\bigl((2x+3)^{5}\bigr)\bigr]^{4}
y
=
[
tan
−
1
(
(
2
x
+
3
)
5
)
]
4
. a. (i) Differentiate
y
y
y
with respect to
x
x
x
. b. (ii) Simplify the derivative obtained in part (i) so that no trigonometric function appears inside an inverse trigonometric function.
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