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Find the derivative of y = ln(1 − 2x)^3....

Find the derivative of `y = ln(1 − 2x)^3`.

Text Solution

Verified by Experts

The correct Answer is:
NA

Let `x=n+fAAn epsilon` and `0leflt1`
`:.[x]=n`
`int_(0)^(x)[t]dt=int_(0)^(1)[t]dt+int_(1)^(2)[t]dt+int_(2)^(3)[t]dt+………..+int_(n)^(n+f)[t]dt`
`=0+1int_(1)^(2)dt+2int_(2)^(3)dt+………….+n int_(n)^(n+f)dt`
`=(2-1)+2(3-2)+……..+n(n+f-n)`
`=1+2+3..........+(n-1)+nf`
`=((n-1)n)/2+nf`
`=([x]([x]-1))/2+[x](x-[x])` [from equation 1]
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