What is the derivative of 4/3 pix^2 ?

The derivative of 4/3 pix^2 is (8pix)/3

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

The first derivative of 4/3 pix^2 is (8pix)/3

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\frac{d}{d x} (\frac{4}{3} π x^{2})

\frac{8 π x}{3}

Solution steps

\frac{d}{d x} (\frac{4}{3} π x^{2})

Take the constant out:

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

= \frac{4}{3} π \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{4}{3} π 2 x^{2 - 1}

Simplify

\frac{4}{3} π 2 x^{2 - 1} : \frac{8 π x}{3}

= \frac{8 π x}{3}

f (x) = 12 x, (1, 12)

\int sec^{11} (x) d x

x^{\frac{6}{5}} + e^{- 3 x}

\int \frac{1}{x ^{2} + 3 x + 2} d x

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

What is the derivative of 4/3 pix^2 ?
The derivative of 4/3 pix^2 is (8pix)/3
What is the first derivative of 4/3 pix^2 ?
The first derivative of 4/3 pix^2 is (8pix)/3