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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derivative of

\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}

\int_{- 1}^{1} ∣ x ∣ - x d x

\int_{1}^{16} \frac{1}{7 - x} d x

x \to - 2 + lim (\frac{- 3}{x ^{2} - 4})

\int \frac{2 x}{x ^{2} + 9} d x

(2 x) d x + (2 - 3 x^{2} y^{- 1}) d y = 0

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