What is the derivative of f(x)=9x^{1/3} ?

The derivative of f(x)=9x^{1/3} is 3/(x^{2/3)}

What is the first derivative of f(x)=9x^{1/3} ?

The first derivative of f(x)=9x^{1/3} is 3/(x^{2/3)}

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derivative of

f (x) = 9 x^{\frac{1}{3}}

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

Solution steps

\frac{d}{d x} (9 x^{\frac{1}{3}})

Take the constant out:

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

= 9 \frac{d}{d x} (x^{\frac{1}{3}})

Apply the Power Rule:

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

= 9 \cdot \frac{1}{3} x^{\frac{1}{3} - 1}

Simplify

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

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

y^{^{'}} 1 - 4 x^{2} = x

y^{4} y^{^{'}} = - 3 x^{2} y^{5} + x^{2}

f (t) = (8 t - 7)^{4} + (8 t + 7)^{4}

\frac{\partial}{\partial x} (\frac{( 7 x + 7 y )}{z})

x \to 2 lim (\frac{5}{x ^{4} - 16})

What is the derivative of f(x)=9x^{1/3} ?
The derivative of f(x)=9x^{1/3} is 3/(x^{2/3)}
What is the first derivative of f(x)=9x^{1/3} ?
The first derivative of f(x)=9x^{1/3} is 3/(x^{2/3)}