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

The derivative of f(x)=-3\sqrt[3]{x} is -1/(x^{2/3)}

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

The first derivative of f(x)=-3\sqrt[3]{x} is -1/(x^{2/3)}

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derivative of

f (x) = - 3 3 x

- \frac{1}{x ^{\frac{2}{3}}}

Solution steps

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

Take the constant out:

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

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

Apply radical rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{1}{x ^{\frac{2}{3}}}

x \to + (- 3) + lim (f (x))

\frac{d}{d x} (6 arctan (x))

\int \frac{13 - 13 x}{1 - x} d x

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

2 4 - y

What is the derivative of f(x)=-3\sqrt[3]{x} ?
The derivative of f(x)=-3\sqrt[3]{x} is -1/(x^{2/3)}
What is the first derivative of f(x)=-3\sqrt[3]{x} ?
The first derivative of f(x)=-3\sqrt[3]{x} is -1/(x^{2/3)}