Differentiate using the chain rule:
y=(x+(x+x^(1/2))^(1/2))^(1/2)
y'=(1/2)(x+(x+x^(1/2))^(1/2))^-(1/2)
what are the next steps?
y=(x+(x+x^(1/2))^(1/2))^(1/2)
y'=(1/2)(x+(x+x^(1/2))^(1/2))^-(1/2)
what are the next steps?
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