What is the derivative of (x^3/(19)) ?

The derivative of (x^3/(19)) is (3x^2)/(19)

What is the first derivative of (x^3/(19)) ?

The first derivative of (x^3/(19)) is (3x^2)/(19)

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\frac{d}{d x} (\frac{x ^{3}}{19})

\frac{3 x ^{2}}{19}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{19})

Take the constant out:

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

= \frac{1}{19} \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= \frac{1}{19} \cdot 3 x^{3 - 1}

Simplify

\frac{1}{19} \cdot 3 x^{3 - 1} : \frac{3 x ^{2}}{19}

= \frac{3 x ^{2}}{19}

\frac{d}{d x} (\frac{6}{x ^{- 3}})

y^{^{''}} = - 3 y - 2 y^{^{'}}

\frac{5}{e ^{x}}

\frac{t - t}{t ^{\frac{1}{4}}}

f (\frac{1}{2}) = 10 + 12 x - 3 x^{2} - x^{3}

What is the derivative of (x^3/(19)) ?
The derivative of (x^3/(19)) is (3x^2)/(19)
What is the first derivative of (x^3/(19)) ?
The first derivative of (x^3/(19)) is (3x^2)/(19)