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

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

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

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

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\frac{d}{d x} (\frac{x ^{2}}{8})

\frac{x}{4}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{8})

Take the constant out:

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

= \frac{1}{8} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{1}{8} \cdot 2 x^{2 - 1}

Simplify

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

= \frac{x}{4}

y^{^{''}} + 8 y^{^{'}} + 12 y = 0

\frac{0.5}{( s ^{2} + s + 1 )} \cdot \frac{1}{s}

f (x) = π^{2}

\frac{d}{d x} ((3 x^{2} + 5)^{4})

e^{- 7 x}

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