What is the derivative of 2pix^2 ?

The derivative of 2pix^2 is 4pix

What is the first derivative of 2pix^2 ?

The first derivative of 2pix^2 is 4pix

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derivative of

2 π x^{2}

4 π x

Solution steps

\frac{d}{d x} (2 π x^{2})

Take the constant out:

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

= 2 π \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 2 π 2 x^{2 - 1}

Simplify

= 4 π x

y^{^{'}} + \frac{1}{200 + t} y = 0

x \to 1 + lim (x^{2} - 1)

\frac{d}{d x} (\frac{a + b t + c t ^{2}}{t})

f (x) = ln (ln (4 x))

\frac{d x}{d y} = \frac{y - x}{y + x}