If y -1-1- x 9- p - x r - p -1-1- x - q - x p- q -1-1- x - r - x q - r then dy - dx -A- 0B- 1 C- p-q-r-xp-q-rD- p-q-r xp-q-r

The correct option is A 0T_1=x^p/x^p+x^q+x^r ∴ y=x^p+x^q+x^r/x^p+x^q+x^r=1 ∴dy/dx=0 ...

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Integration by Partial Fractions

If y =1/1+ x ...

Question

If $y = \frac{1}{1 + x^{q - p} + x^{r - p}} + \frac{1}{1 + x^{r - q} + x^{p - q}} + \frac{1}{1 + x^{p - r} + x^{q - r}}$ then $\frac{d y}{d x} =$

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(p + q + r) x^{p + q + r}

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\frac{(p + q + r)}{x^{p + q + r}}

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Solution

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Similar questions

P \equiv (\frac{1}{x_{p}}, p); Q \equiv (\frac{1}{x_{q}}, q); R \equiv (\frac{1}{x_{r}}, r),

x_{k} (\neq 0)

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lim x \to 1 (\frac{p}{1 - x^{p}} - \frac{q}{1 - x^{q}}); p, q \in N

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\frac{1}{x + x^{p - q}} + \frac{1}{1 + x^{q / - p}} = 1

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