derivate the following function
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given f(x) = (x/1+x)⁵
dy/dx = 5(x / 1+x)⁴ * dy/dx ( x/1+x)
[ quotient rule and power rule]
=> 5(x/1+x)⁴ * [(1+x) * 1] - [x * 1] / (1+x)²
=> 5 (x/1+x)⁴ * (1 + x - x) / (1+x)²
=> 5 (x/x+1)⁴ * 1/(1+x)²
=> 5 x⁴ / (x+1)⁴*(1+x)²
=> 5 x⁴ / (x+1)⁶
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