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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\frac{d}{d x} (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 = x x, (4, 8)

\frac{\partial}{\partial t} (2 cos (t) + 8 x^{2})

\frac{d}{d x} (3 cos (x) - 2 e^{2 x})

f (x) = x^{3} - 2 x + 1, at x = - 1

(e^{x} - e^{- x}) \frac{d y}{d x} = y^{2}