What is the derivative of 0.882x^{0.842} ?

The derivative of 0.882x^{0.842} is (0.742644)/(x^{0.158)}

What is the first derivative of 0.882x^{0.842} ?

The first derivative of 0.882x^{0.842} is (0.742644)/(x^{0.158)}

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\frac{d}{d x} (0.882 x^{0.842})

\frac{0.742644}{x ^{0.158}}

Solution steps

\frac{d}{d x} (0.882 x^{0.842})

Take the constant out:

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

= 0.882 \frac{d}{d x} (x^{0.842})

Apply the Power Rule:

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

= 0.882 \cdot 0.842 x^{0.842 - 1}

Simplify

0.882 \cdot 0.842 x^{0.842 - 1} : \frac{0.742644}{x ^{0.158}}

= \frac{0.742644}{x ^{0.158}}

What is the derivative of 0.882x^{0.842} ?
The derivative of 0.882x^{0.842} is (0.742644)/(x^{0.158)}
What is the first derivative of 0.882x^{0.842} ?
The first derivative of 0.882x^{0.842} is (0.742644)/(x^{0.158)}