if y =1+x^2/1-x^2 find dy/dx
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Answer:
dy/dx = -2/(1 - x)^2
Step-by-step explanation:
dy/dx = (1 + x)d/dx(1 - x) - (1 - x) d/dx(1 + x) ÷ (1 - x)^2
= [(1 + x)(-1)] - [(1 - x)(1)] ÷ (1 - x)^2
= -1 - x - 1 + x ÷ (1 - x)^2
dy/dx = -2/(1 - x)^2
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