What is the derivative of 524.8*x^{0.75} ?

The derivative of 524.8*x^{0.75} is (393.6)/(x^{0.25)}

What is the first derivative of 524.8*x^{0.75} ?

The first derivative of 524.8*x^{0.75} is (393.6)/(x^{0.25)}

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\frac{d}{d x} (524.8 \cdot x^{0.75})

\frac{393.6}{x ^{0.25}}

Solution steps

\frac{d}{d x} (524.8 x^{0.75})

Take the constant out:

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

= 524.8 \frac{d}{d x} (x^{0.75})

Apply the Power Rule:

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

= 524.8 \cdot 0.75 x^{0.75 - 1}

Simplify

524.8 \cdot 0.75 x^{0.75 - 1} : \frac{393.6}{x ^{0.25}}

= \frac{393.6}{x ^{0.25}}

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What is the derivative of 524.8*x^{0.75} ?
The derivative of 524.8*x^{0.75} is (393.6)/(x^{0.25)}
What is the first derivative of 524.8*x^{0.75} ?
The first derivative of 524.8*x^{0.75} is (393.6)/(x^{0.25)}