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

The derivative of x^{(-4/3}) is -4/(3x^{7/3)}

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

The first derivative of x^{(-4/3}) is -4/(3x^{7/3)}

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

- \frac{4}{3 x ^{\frac{7}{3}}}

Solution steps

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

Apply the Power Rule:

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

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

Simplify

\frac{- 4}{3} x^{\frac{- 4}{3} - 1} : - \frac{4}{3 x ^{\frac{7}{3}}}

= - \frac{4}{3 x ^{\frac{7}{3}}}

f^{^{'}} (x) = 6 x^{2}

f (2) = 5 - 2 x

\frac{d}{d x} (\frac{ln ( x + 1 )}{x})

x^{2} \cdot e^{- 4 x}

n = 1 \sum \infty \frac{2 ^{n}}{4 ^{n}}

What is the derivative of x^{(-4/3}) ?
The derivative of x^{(-4/3}) is -4/(3x^{7/3)}
What is the first derivative of x^{(-4/3}) ?
The first derivative of x^{(-4/3}) is -4/(3x^{7/3)}