# What is the derivative ? y= [(6-5x)/(x^2-1)]^2

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#### Explanation

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#### Explanation:

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Mar 10, 2018

$y ' = 2 \left(\frac{6 - 5 x}{{x}^{2} - 1}\right) \cdot \left(\frac{5 {x}^{2} - 12 x + 5}{{x}^{2} - 1} ^ 2\right)$

#### Explanation:

$y = {\left(\frac{6 - 5 x}{{x}^{2} - 1}\right)}^{2}$

$y ' = 2 \left(\frac{6 - 5 x}{{x}^{2} - 1}\right) \cdot \left(\frac{- 5 \left({x}^{2} - 1\right) - \left(6 - 5 x\right) \left(2 x\right)}{{x}^{2} - 1} ^ 2\right)$

$y ' = 2 \left(\frac{6 - 5 x}{{x}^{2} - 1}\right) \cdot \left(\frac{- 5 {x}^{2} + 5 - 12 x + 10 {x}^{2}}{{x}^{2} - 1} ^ 2\right)$

$y ' = 2 \left(\frac{6 - 5 x}{{x}^{2} - 1}\right) \cdot \left(\frac{5 {x}^{2} - 12 x + 5}{{x}^{2} - 1} ^ 2\right)$

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