What is the derivative of (4pix^3/3) ?

The derivative of (4pix^3/3) is 4pix^2

What is the first derivative of (4pix^3/3) ?

The first derivative of (4pix^3/3) is 4pix^2

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\frac{d}{d x} (\frac{4 π x ^{3}}{3})

4 π x^{2}

Solution steps

\frac{d}{d x} (\frac{4 π x ^{3}}{3})

Take the constant out:

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

= \frac{4 π}{3} \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= \frac{4 π}{3} \cdot 3 x^{3 - 1}

Simplify

\frac{4 π}{3} \cdot 3 x^{3 - 1} : 4 π x^{2}

= 4 π x^{2}

(e^{x} + e^{- x})^{^{'}}

x (x + 1) y^{^{'}} + x y = 1, y (e) = 1

\int (- \frac{2 x y}{( x ^{2} + y ^{2} )}) d y

\frac{\partial}{\partial x} ((1 + x) sin (y))

\frac{d}{d x} (ln (a x a + x))

What is the derivative of (4pix^3/3) ?
The derivative of (4pix^3/3) is 4pix^2
What is the first derivative of (4pix^3/3) ?
The first derivative of (4pix^3/3) is 4pix^2