What is the derivative of (x^4/9) ?

The derivative of (x^4/9) is (4x^3)/9

What is the first derivative of (x^4/9) ?

The first derivative of (x^4/9) is (4x^3)/9

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\frac{d}{d x} (\frac{x ^{4}}{9})

\frac{4 x ^{3}}{9}

Solution steps

\frac{d}{d x} (\frac{x ^{4}}{9})

Take the constant out:

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

= \frac{1}{9} \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= \frac{1}{9} \cdot 4 x^{4 - 1}

Simplify

\frac{1}{9} \cdot 4 x^{4 - 1} : \frac{4 x ^{3}}{9}

= \frac{4 x ^{3}}{9}

y = 2916 x, 108 x^{2}

\int \frac{x ( 2 x - 9 )}{x ^{3} - 6 x ^{2} + 12 x - 8} d x

\int 7 x e^{3 x - 1} d x

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

(\frac{x + 1}{x - 3})^{2}

What is the derivative of (x^4/9) ?
The derivative of (x^4/9) is (4x^3)/9
What is the first derivative of (x^4/9) ?
The first derivative of (x^4/9) is (4x^3)/9