What is the derivative of (10/(27x^{8/3)}) ?

The derivative of (10/(27x^{8/3)}) is -(80)/(81x^{11/3)}

What is the first derivative of (10/(27x^{8/3)}) ?

The first derivative of (10/(27x^{8/3)}) is -(80)/(81x^{11/3)}

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\frac{d}{d x} (\frac{10}{27 x ^{\frac{8}{3}}})

- \frac{80}{81 x ^{\frac{11}{3}}}

Solution steps

\frac{d}{d x} (\frac{10}{27 x ^{\frac{8}{3}}})

Take the constant out:

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

= \frac{10}{27} \frac{d}{d x} (\frac{1}{x ^{\frac{8}{3}}})

Apply exponent rule:

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

= \frac{10}{27} \frac{d}{d x} (x^{- \frac{8}{3}})

Apply the Power Rule:

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

= \frac{10}{27} (- \frac{8}{3} x^{- \frac{8}{3} - 1})

Simplify

\frac{10}{27} (- \frac{8}{3} x^{- \frac{8}{3} - 1}) : - \frac{80}{81 x ^{\frac{11}{3}}}

= - \frac{80}{81 x ^{\frac{11}{3}}}

f (x) = (1 + 4 x)^{9}, (0, 1)

f (x) = - 3 (2 x - 2) = 0

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

(0.1) (2)

\int 9 x cos (8 x) d x

What is the derivative of (10/(27x^{8/3)}) ?
The derivative of (10/(27x^{8/3)}) is -(80)/(81x^{11/3)}
What is the first derivative of (10/(27x^{8/3)}) ?
The first derivative of (10/(27x^{8/3)}) is -(80)/(81x^{11/3)}