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3 years ago

9

Derivative of

="absmiddle" class="latex-formula">+3÷ $\sqrt{x}$

1 answer:

juin [17]3 years ago

3 0

$\frac{ \sqrt{x} +3}{ \sqrt{x} }$ =1+ $\frac{3}{ \sqrt{x} }$

remember
dy/dx(f(x)/g(x))=((f'(x)g(x)-g'(x)f(x))/(g(x)^2)

dy/dx(1+ $\frac{3}{ \sqrt{x} }$ )=0+(0-(3/(2 $\sqrt{x}$ )))/x=(-3/(2 $\sqrt{x}$ ))/x=-3/(2 $x\sqrt{x}$ )

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