What is the derivative of 0.8*x^4 ?

The derivative of 0.8*x^4 is 3.2x^3

What is the first derivative of 0.8*x^4 ?

The first derivative of 0.8*x^4 is 3.2x^3

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\frac{d}{d x} (0.8 \cdot x^{4})

3.2 x^{3}

Solution steps

\frac{d}{d x} (0.8 x^{4})

Take the constant out:

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

= 0.8 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 0.8 \cdot 4 x^{4 - 1}

Simplify

= 3.2 x^{3}

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What is the derivative of 0.8*x^4 ?
The derivative of 0.8*x^4 is 3.2x^3
What is the first derivative of 0.8*x^4 ?
The first derivative of 0.8*x^4 is 3.2x^3