What is the derivative of f(x)=15\sqrt[3]{x} ?

The derivative of f(x)=15\sqrt[3]{x} is 5/(x^{2/3)}

What is the first derivative of f(x)=15\sqrt[3]{x} ?

The first derivative of f(x)=15\sqrt[3]{x} is 5/(x^{2/3)}

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derivative of

f (x) = 15 3 x

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

Solution steps

\frac{d}{d x} (15 3 x)

Take the constant out:

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

= 15 \frac{d}{d x} (3 x)

Apply radical rule:

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

= 15 \frac{d}{d x} (x^{\frac{1}{3}})

Apply the Power Rule:

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

= 15 \cdot \frac{1}{3} x^{\frac{1}{3} - 1}

Simplify

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

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

8 sin^{3} (x)

\int_{0}^{π} (sec^{2} (\frac{x}{3})) d x

\frac{d}{d x} (e^{x s e c (x)})

\frac{d}{d x} (2 cos (x^{2}) - 4 x^{2} sin (x^{2}))

f (x) = (x^{2} + x) (6 - x)

What is the derivative of f(x)=15\sqrt[3]{x} ?
The derivative of f(x)=15\sqrt[3]{x} is 5/(x^{2/3)}
What is the first derivative of f(x)=15\sqrt[3]{x} ?
The first derivative of f(x)=15\sqrt[3]{x} is 5/(x^{2/3)}