What is the derivative of f(x)=5\sqrt[3]{x} ?

The derivative of f(x)=5\sqrt[3]{x} is 5/(3x^{2/3)}

What is the first derivative of f(x)=5\sqrt[3]{x} ?

The first derivative of f(x)=5\sqrt[3]{x} is 5/(3x^{2/3)}

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derivative of

f (x) = 5 3 x

\frac{5}{3 x ^{\frac{2}{3}}}

Solution steps

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

Take the constant out:

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

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

Apply radical rule:

n a = a^{\frac{1}{n}}

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

Apply the Power Rule:

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

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

Simplify

5 \cdot \frac{1}{3} x^{\frac{1}{3} - 1} : \frac{5}{3 x ^{\frac{2}{3}}}

= \frac{5}{3 x ^{\frac{2}{3}}}

\int sin (6 x) cos (8 x) d x

\frac{( s + 1 ) ^{2}}{s}

\frac{1}{s ^{2}}

\frac{d}{d x} ((x - 8)^{3})

x \to 0 + lim ([x - sin (x)])

What is the derivative of f(x)=5\sqrt[3]{x} ?
The derivative of f(x)=5\sqrt[3]{x} is 5/(3x^{2/3)}
What is the first derivative of f(x)=5\sqrt[3]{x} ?
The first derivative of f(x)=5\sqrt[3]{x} is 5/(3x^{2/3)}