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

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

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

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

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derivative of

f (x) = \frac{4}{3} π x^{3}

4 π x^{2}

Solution steps

\frac{d}{d x} (\frac{4}{3} π x^{3})

Take the constant out:

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

= \frac{4}{3} π \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= \frac{4}{3} π 3 x^{3 - 1}

Simplify

\frac{4}{3} π 3 x^{3 - 1} : 4 π x^{2}

= 4 π x^{2}

k = 5 \sum \infty \frac{k + 7}{k + 6}

\frac{d}{d x} (\frac{tan ( x ) - 3}{sec ( x )})

f (x) = 7 x

y^{^{''}} + 80 y^{^{'}} + 20 y = 0

\int \frac{( - 2 u ^{4} + 3 u )}{u ^{2}} d u

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