三个求导计算题，详细过程，谢谢
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1
y'=(x-1)'√(x²+1)+(x-1)√(x²+1)'
=√(x²+1)+(x-1)(x²+1)'/[2√(x²+1)]
=√(x²+1)+x(x-1)/√(x²+1)
2
y'=(x'/2)√(x²-a²)+(x/2)√(x²-a²)'
=√(x²-a²)/2+x (x²-a²)'/[4√(x²-a²)]
=√(x²-a²)/2+x²(x²-a)/[2√(x²-a²)]
3
y'=(-3/2)(1-x²)'/√(1-x²)³
= 3x/√(1-x²)³
y'=(x-1)'√(x²+1)+(x-1)√(x²+1)'
=√(x²+1)+(x-1)(x²+1)'/[2√(x²+1)]
=√(x²+1)+x(x-1)/√(x²+1)
2
y'=(x'/2)√(x²-a²)+(x/2)√(x²-a²)'
=√(x²-a²)/2+x (x²-a²)'/[4√(x²-a²)]
=√(x²-a²)/2+x²(x²-a)/[2√(x²-a²)]
3
y'=(-3/2)(1-x²)'/√(1-x²)³
= 3x/√(1-x²)³
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