What is the derivative of 5x^{2pi} ?

The derivative of 5x^{2pi} is 10pix^{2pi-1}

What is the first derivative of 5x^{2pi} ?

The first derivative of 5x^{2pi} is 10pix^{2pi-1}

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\frac{d}{d x} (5 x^{2 π})

10 π x^{2 π - 1}

Solution steps

\frac{d}{d x} (5 x^{2 π})

Take the constant out:

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

= 5 \frac{d}{d x} (x^{2 π})

Apply the Power Rule:

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

= 5 \cdot 2 π x^{2 π - 1}

Simplify

= 10 π x^{2 π - 1}

What is the derivative of 5x^{2pi} ?
The derivative of 5x^{2pi} is 10pix^{2pi-1}
What is the first derivative of 5x^{2pi} ?
The first derivative of 5x^{2pi} is 10pix^{2pi-1}