What is the derivative of f(x) 2/(sqrt(x)) ?

The derivative of f(x) 2/(sqrt(x)) is 2sqrt(x)

What is the first derivative of f(x) 2/(sqrt(x)) ?

The first derivative of f(x) 2/(sqrt(x)) is 2sqrt(x)

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derivative of

f (x) \frac{2}{x}

2 x

Solution steps

\frac{d}{df} (f x \frac{2}{x})

Simplify

f x \frac{2}{x} : 2 f x

= \frac{d}{df} (2 f x)

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 x \frac{df}{df}

Apply the common derivative:

\frac{df}{df} = 1

= 2 x \cdot 1

Simplify

= 2 x

What is the derivative of f(x) 2/(sqrt(x)) ?
The derivative of f(x) 2/(sqrt(x)) is 2sqrt(x)
What is the first derivative of f(x) 2/(sqrt(x)) ?
The first derivative of f(x) 2/(sqrt(x)) is 2sqrt(x)