easy for all targetiitians a practice problem

\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 }} = y

THEN FIND dy / dx

2 Answers

106

Asish Mahapatra ·2010-01-27 06:44:31

See, this is really simple (just a matter of observation)
try using x^n-m = xⁿ/x^m in the first case

Similarly simplify the negative powers in all fractional terms

ull get y=1
hence dy/dx = 0

exactly....
after simplifying, the problem boils down to:

y=\frac{x^m +x^n +x^p}{x^m +x^n +x^p}

thus, y=1

or, \frac{\partial y}{\partial x}=0

hence solved.....[1]

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