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

The derivative of 3x^{4/3} is 4x^{1/3}

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

The first derivative of 3x^{4/3} is 4x^{1/3}

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= 4 x^{\frac{1}{3}}

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

cos (a x + b)

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