Помогите найти производную

Question

Помогите найти производную

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Answer 1

(  u/v)´= (u´v - uv´)/v²
f(x)=x/√(x²+3), u=x, v=√(x²+3)
(x)´=1, (√(x²+3))´=1/2.2x/(√(x²+3))=x/(√(x²+3))
f´(x)=(1.√(x²+3)- x.x/(√(x²+3))/(x²+3)
f´(x)=(√(x²+3)-x²/(√(x²+3))/(x²+3)