What is the derivative of f(x)= 4/3 pix^2 ?

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

What is the first derivative of f(x)= 4/3 pix^2 ?

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

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derivative of

f (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}

\frac{\partial}{\partial y} ((x - y)^{2} y)

\frac{\partial}{\partial x} (3 arctan (\frac{x}{y}))

\frac{d}{d x} (x^{x} - 100)

y^{^{''}} - 8 y^{^{'}} + 15 y = - sin (2 t)

y^{^{''}} - 2 y^{^{'}} + 26 y = e^{x} sin (x)

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