if f x is equals to (x^a/x^b)^a+b×(x^b/x^c)^b+c×(x^c/x^a)^c+a, find differentiation of fx.
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Answer:
Let f(x)
ax
2
+bx+c
1
Thus by quotient rule
f
′
(x)=
(ax
2
+bx+c)
2
(ax
2
+bx+c)
dx
d
(1)−
dx
d
(ax
2
+bx+c)
=
(ax
2
+bx+c)
2
(ax
2
+bx+c)(0)−(2ax+b)
=
(ax
2
+bx+c)
2
−(2ax+b)
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