What is the derivative of sqrt(x/4) ?

The derivative of sqrt(x/4) is 1/(4sqrt(x))

What is the first derivative of sqrt(x/4) ?

The first derivative of sqrt(x/4) is 1/(4sqrt(x))

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derivative of

\frac{x}{4}

\frac{1}{4 x}

Solution steps

\frac{d}{d x} (\frac{x}{4})

Apply the chain rule:

\frac{1}{2 \frac{x}{4}} \frac{d}{d x} (\frac{x}{4})

= \frac{1}{2 \frac{x}{4}} \frac{d}{d x} (\frac{x}{4})

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

= \frac{1}{2 \frac{x}{4}} \cdot \frac{1}{4}

Simplify

\frac{1}{2 \frac{x}{4}} \cdot \frac{1}{4} : \frac{1}{4 x}

= \frac{1}{4 x}

\frac{d}{d x} (9 x^{3} - 4 y^{2} + 2 x y)

\frac{\partial}{\partial x} (- y^{2} x)

\int 1 0^{x} d x

\frac{\partial}{\partial x} (2 x^{2} - x^{2} y^{3} + y^{2})

\int_{- 1}^{1} \frac{e ^{x}}{e ^{x} - 1} d x

What is the derivative of sqrt(x/4) ?
The derivative of sqrt(x/4) is 1/(4sqrt(x))
What is the first derivative of sqrt(x/4) ?
The first derivative of sqrt(x/4) is 1/(4sqrt(x))