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

The derivative of x/(sqrt(2)) is 1/(sqrt(2))

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

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

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

\frac{1}{2}

Decimal

0.70710 \dots

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

\frac{d x}{d x} = 1

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

Simplify

= \frac{1}{2}

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