What is the derivative of f(x)=(9/8)x^{8/9} ?

The derivative of f(x)=(9/8)x^{8/9} is 1/(x^{1/9)}

What is the first derivative of f(x)=(9/8)x^{8/9} ?

The first derivative of f(x)=(9/8)x^{8/9} is 1/(x^{1/9)}

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derivative of

f (x) = (\frac{9}{8}) x^{\frac{8}{9}}

\frac{1}{x ^{\frac{1}{9}}}

Solution steps

\frac{d}{d x} (\frac{9}{8} x^{\frac{8}{9}})

Take the constant out:

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

= \frac{9}{8} \frac{d}{d x} (x^{\frac{8}{9}})

Apply the Power Rule:

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

= \frac{9}{8} \cdot \frac{8}{9} x^{\frac{8}{9} - 1}

Simplify

\frac{9}{8} \cdot \frac{8}{9} x^{\frac{8}{9} - 1} : \frac{1}{x ^{\frac{1}{9}}}

= \frac{1}{x ^{\frac{1}{9}}}

\frac{\partial}{\partial y} (4 - x^{2} - 2 y^{2})

2 r (s^{2} + 1) d r + (r^{4} + 1) d s = 0

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x \to 1 lim (\frac{1}{x ^{2} - x})

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What is the derivative of f(x)=(9/8)x^{8/9} ?
The derivative of f(x)=(9/8)x^{8/9} is 1/(x^{1/9)}
What is the first derivative of f(x)=(9/8)x^{8/9} ?
The first derivative of f(x)=(9/8)x^{8/9} is 1/(x^{1/9)}