Differentiation

Q. If y=\frac{1}{1+x^{n-m}+x^{p-m}}+\frac{1}{1+x^{m-n}+x^{p-n}}+\frac{1}{1+x^{m-p}+x^{n-p}} , then \frac{dy}{dx} at e^{m^{n^{p}}}

\text{(a) }e^{mnp}
\text{(b) }e^{\frac{mn}{p}}
\text{(c) }e^{\frac{np}{m}}
\text{(d) } none

3 Answers

1
satyajit maurya ·

Ashish, what i did in this sum was , i multiplied first term by x^m\x^m ,second by x^n\x^n, third by x^p\x^p ,obtaining y=
1 on simplification thus its differentiation will be 0 hence correct option must be (d)none..

1
Debosmit Majumder ·

it shud be (d)none of these....just simplify the denominator..y=1

30
Ashish Kothari ·

Pity on me to have missed this! Thanks a lot. :)

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