What is the derivative of (x^2/(30)) ?

The derivative of (x^2/(30)) is x/(15)

What is the first derivative of (x^2/(30)) ?

The first derivative of (x^2/(30)) is x/(15)

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\frac{d}{d x} (\frac{x ^{2}}{30})

\frac{x}{15}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{30})

Take the constant out:

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

= \frac{1}{30} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{1}{30} \cdot 2 x^{2 - 1}

Simplify

\frac{1}{30} \cdot 2 x^{2 - 1} : \frac{x}{15}

= \frac{x}{15}

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

\int x^{2} + x d x

2 y^{^{''}} + 3 y^{^{'}} - 4 y = 5 e^{3 x}

n = 1 \sum \infty \frac{( 3 x - 2 ) ^{n}}{n}

\frac{d}{d x} (x^{3} e^{- \frac{3}{x}})

What is the derivative of (x^2/(30)) ?
The derivative of (x^2/(30)) is x/(15)
What is the first derivative of (x^2/(30)) ?
The first derivative of (x^2/(30)) is x/(15)