Question

Find dy/dx if y=x+√x +1/√x

Answer 1

Answer:

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Explanation:

Given y = x+√x+1/√x

dy/dx=dx/dx + dx^(1/2)/dx + dx^(-1/2)/dx

dy/dx = 1 + [x^(-1/2)] / 2 + [(-1)x^(-3/2)] / 2

dy/dx = 1 + 1/[2x^(1/2)] - 1/[2x^(3/2)]

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Answer 2

Explanation:

d (x) + d (x½) + d (x-½)

dx. dx. dx

=1 + ½ * x-½ + (-½)x½

=1 + 1 - √x

2√x. 2