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

The derivative of sqrt(x/2) is 1/(2sqrt(2)\sqrt{x)}

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

The first derivative of sqrt(x/2) is 1/(2sqrt(2)\sqrt{x)}

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derivative of

\frac{x}{2}

\frac{1}{2 2 x}

Solution steps

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

Apply the chain rule:

\frac{1}{2 \frac{x}{2}} \frac{d}{d x} (\frac{x}{2})

= \frac{1}{2 \frac{x}{2}} \frac{d}{d x} (\frac{x}{2})

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= \frac{1}{2 \frac{x}{2}} \cdot \frac{1}{2}

Simplify

\frac{1}{2 \frac{x}{2}} \cdot \frac{1}{2} : \frac{1}{2 2 x}

= \frac{1}{2 2 x}

\frac{2 s - 3}{2 s ^{2} - 8 s + 16}

f (x) = 4 x^{3} ln (x)

x \to 1 lim (tan (\frac{x}{2}))

y^{^{''}} - y = e^{t} (t + e^{t})

2 t (3 t^{3} - 7)^{4}

What is the derivative of sqrt(x/2) ?
The derivative of sqrt(x/2) is 1/(2sqrt(2)\sqrt{x)}
What is the first derivative of sqrt(x/2) ?
The first derivative of sqrt(x/2) is 1/(2sqrt(2)\sqrt{x)}