What is the derivative of 5x^{4/3} ?

The derivative of 5x^{4/3} is (20x^{1/3})/3

What is the first derivative of 5x^{4/3} ?

The first derivative of 5x^{4/3} is (20x^{1/3})/3

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

\frac{20 x ^{\frac{1}{3}}}{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 5 \cdot \frac{4}{3} x^{\frac{4}{3} - 1}

Simplify

5 \cdot \frac{4}{3} x^{\frac{4}{3} - 1} : \frac{20 x ^{\frac{1}{3}}}{3}

= \frac{20 x ^{\frac{1}{3}}}{3}

\frac{d}{d x} (\frac{5 x ^{2}}{3 x - 1})

\int \frac{1}{x 16 + x ^{2}} d x

\frac{d y}{d x} = (x + y - 1)^{2}

\int x^{3} sin (n x) d x

x \frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} = 0

What is the derivative of 5x^{4/3} ?
The derivative of 5x^{4/3} is (20x^{1/3})/3
What is the first derivative of 5x^{4/3} ?
The first derivative of 5x^{4/3} is (20x^{1/3})/3