What is the derivative of 2w^{3pi},\at 7 ?

The derivative of 2w^{3pi},\at 7 is 6piw^{3pi-1}

What is the first derivative of 2w^{3pi},\at 7 ?

The first derivative of 2w^{3pi},\at 7 is 6piw^{3pi-1}

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derivative of

2 w^{3 π}, at 7

6 π w^{3 π - 1}

Solution steps

\frac{d}{d w} (2 w^{3 π})

Take the constant out:

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

= 2 \frac{d}{d w} (w^{3 π})

Apply the Power Rule:

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

= 2 \cdot 3 π w^{3 π - 1}

Simplify

= 6 π w^{3 π - 1}

What is the derivative of 2w^{3pi},\at 7 ?
The derivative of 2w^{3pi},\at 7 is 6piw^{3pi-1}
What is the first derivative of 2w^{3pi},\at 7 ?
The first derivative of 2w^{3pi},\at 7 is 6piw^{3pi-1}