What is the derivative of 4pix^2 ?

The derivative of 4pix^2 is 8pix

What is the first derivative of 4pix^2 ?

The first derivative of 4pix^2 is 8pix

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\frac{d}{d x} (4 π x^{2})

8 π x

Solution steps

\frac{d}{d x} (4 π x^{2})

Take the constant out:

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

= 4 π \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 4 π 2 x^{2 - 1}

Simplify

= 8 π x

x \to - 2 lim (2)

f (x) = e^{5 x} cos (8 x)

\int (sin^{3} (x)) d x

f (x) = 4 x^{3} - 4 x, at x = 1

\frac{d}{d t} (t^{2} + 5 t)