What is the derivative of (x/4 ^2) ?

The derivative of (x/4 ^2) is x/8

What is the first derivative of (x/4 ^2) ?

The first derivative of (x/4 ^2) is x/8

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

\frac{x}{8}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

2 \cdot \frac{x}{4} \cdot \frac{1}{4} : \frac{x}{8}

= \frac{x}{8}

\frac{d}{d x} (x^{\frac{3}{5}} x^{3} + 5)

\frac{d}{d θ} (4 - θ^{2} sin (θ))

\frac{\partial}{\partial x} (\frac{1}{2 x + 3 y})

y = 3 - 2 x + 4 x^{3}, (- 1, 1)

What is the derivative of (x/4 ^2) ?
The derivative of (x/4 ^2) is x/8
What is the first derivative of (x/4 ^2) ?
The first derivative of (x/4 ^2) is x/8