Question

Find nth derivative of the function
f(x)=x/(x-a)(x-b)(x-c)​

Answer 1

/((−)(−))=(−)∗1+1∗(−)=−+−=2−−
d
/
d
x
(
(
x
−
a
)
(
x
−
b
)
)
=
(
x
−
a
)
∗
1
+
1
∗
(
x
−
b
)
=
x
−
a
+
x
−
b
=
2
x
−
a
−
b


o
r

/((−)(−))=/(2−−+)=2−−
d
/
d
x
(
(
x
−
a
)
(
x
−
b
)
)
=
d
/
d
x
(
x
2
−
a
x
−
b
x
+
a
b
)
=
2
x
−
a
−
b
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Answer 2

Answer:

refer the attachment in the top