Question

In Problems differentiate the given functions with respect to x.
(a, b, c are to be treated as constants)
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Answer 1

Answer:

2) y = x+1 / x-1

=> dy/dx = [(x-1) * 1 - (x+1)*1] / (x-1)²

=> (x - 1 - x - 1) / (x-1)²

=> -2 / (x-1)² Answer

3) y = x / x² + 1

dy/ dx = [(x²+1) * 1 - x * 2x] / (x²+1)²

=> (x² + 1 - 2x²) / (x²+1)²

=> (1 - x²) / (x² + 1)² Answer

7) y = 2 / (x³ - 1)

dy/dx = [(x³-1) *0 - 2*3x²] / (x³ - 1)²

=> - 6x² / (x³ - 1)² Answer