What is the derivative of pix^2 ?

The derivative of pix^2 is 2pix

What is the first derivative of pix^2 ?

The first derivative of pix^2 is 2pix

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\frac{d}{d x} (π x^{2})

2 π x

Solution steps

\frac{d}{d x} (π x^{2})

Take the constant out:

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

= π \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= π 2 x^{2 - 1}

Simplify

= 2 π x

\int \frac{x ^{2} + 24 x ^{3}}{x} d x

\frac{d}{d x} (arcsinh (5 x^{3} - 4 x^{2} + 11))

f (x) = 2 x - 1 + \frac{6}{x}, at x = 2

\frac{\partial}{\partial x} (A (e^{2 x} + 2 e^{2 x} x))

(x^{2} + y^{2})^{3} = 8 x^{2} y^{2}, (1, 1)