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Q.

If f(x)=log⁡1+x1−x and g(x)=3x+x31+3x2 then ddx(f(g(x)))=

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a

−f1(x)

b

2f1(x)

c

3f1(x)

d

4f1(x)

answer is C.

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Detailed Solution

f(g(x))=f3x+x31+3x2==log⁡1+3x+x31+3x21−3x+x31+3x2=log⁡1+x1−x3=3log⁡1+x1−x=3f(x) ∴ddx(f(g(x)))=3f′(x)
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