What is the derivative of 0.8x^{1.6} ?

The derivative of 0.8x^{1.6} is 1.28x^{0.6}

What is the first derivative of 0.8x^{1.6} ?

The first derivative of 0.8x^{1.6} is 1.28x^{0.6}

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\frac{d}{d x} (0.8 x^{1.6})

1.28 x^{0.6}

Solution steps

\frac{d}{d x} (0.8 x^{1.6})

Take the constant out:

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

= 0.8 \frac{d}{d x} (x^{1.6})

Apply the Power Rule:

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

= 0.8 \cdot 1.6 x^{1.6 - 1}

Simplify

= 1.28 x^{0.6}

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What is the derivative of 0.8x^{1.6} ?
The derivative of 0.8x^{1.6} is 1.28x^{0.6}
What is the first derivative of 0.8x^{1.6} ?
The first derivative of 0.8x^{1.6} is 1.28x^{0.6}