What is the derivative of-2x^{9/8} ?

The derivative of-2x^{9/8} is -(9x^{1/8})/4

What is the first derivative of-2x^{9/8} ?

The first derivative of-2x^{9/8} is -(9x^{1/8})/4

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\frac{d}{d x} (- 2 x^{\frac{9}{8}})

- \frac{9 x ^{\frac{1}{8}}}{4}

Solution steps

\frac{d}{d x} (- 2 x^{\frac{9}{8}})

Take the constant out:

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

= - 2 \frac{d}{d x} (x^{\frac{9}{8}})

Apply the Power Rule:

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

= - 2 \cdot \frac{9}{8} x^{\frac{9}{8} - 1}

Simplify

- 2 \cdot \frac{9}{8} x^{\frac{9}{8} - 1} : - \frac{9 x ^{\frac{1}{8}}}{4}

= - \frac{9 x ^{\frac{1}{8}}}{4}

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What is the derivative of-2x^{9/8} ?
The derivative of-2x^{9/8} is -(9x^{1/8})/4
What is the first derivative of-2x^{9/8} ?
The first derivative of-2x^{9/8} is -(9x^{1/8})/4