What is the derivative of y=2x^{3pi} ?

The derivative of y=2x^{3pi} is 6pix^{3pi-1}

What is the first derivative of y=2x^{3pi} ?

The first derivative of y=2x^{3pi} is 6pix^{3pi-1}

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derivative of

y = 2 x^{3 π}

6 π x^{3 π - 1}

Solution steps

\frac{d}{d x} (2 x^{3 π})

Take the constant out:

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

= 2 \frac{d}{d x} (x^{3 π})

Apply the Power Rule:

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

= 2 \cdot 3 π x^{3 π - 1}

Simplify

= 6 π x^{3 π - 1}

(5 t + 3 y + 3) d t - d y = 0

\frac{d}{d x} (x^{3} - 4 x^{2} + 5)

\frac{d y}{d x} + y^{7} x + 7 y = 0

\frac{\partial}{\partial y} (x^{2} z^{2} sin (4 y))

What is the derivative of y=2x^{3pi} ?
The derivative of y=2x^{3pi} is 6pix^{3pi-1}
What is the first derivative of y=2x^{3pi} ?
The first derivative of y=2x^{3pi} is 6pix^{3pi-1}