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

The derivative of f(x)=(sqrt(x))/4 is 1/(8sqrt(x))

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

The first derivative of f(x)=(sqrt(x))/4 is 1/(8sqrt(x))

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derivative of

f (x) = \frac{x}{4}

\frac{1}{8 x}

Solution steps

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

Take the constant out:

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

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

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Simplify

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

= \frac{1}{8 x}

\frac{d}{d x} (2 + 5 x)

n = 2 \sum \infty n^{2} - n

\frac{d}{d z} (\frac{z ^{2}}{2} - \frac{z ^{7}}{7})

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

\int cos^{7} (x) tan^{3} (x) d x

What is the derivative of f(x)=(sqrt(x))/4 ?
The derivative of f(x)=(sqrt(x))/4 is 1/(8sqrt(x))
What is the first derivative of f(x)=(sqrt(x))/4 ?
The first derivative of f(x)=(sqrt(x))/4 is 1/(8sqrt(x))