If y=x+1/x+2 find d²y/dx²
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Answer:
first find dy/dx = 1 + d/dx(1/x) + 0
= 1 + d/dx(x^-1)= 1 + (-1x^-1)
d/dx(dy/dx) = d/dx(-x^-1) = -(-2)x^-2= 2x^-2= 2/x^2
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