What is the derivative of pix^3 ?

The derivative of pix^3 is 3pix^2

What is the first derivative of pix^3 ?

The first derivative of pix^3 is 3pix^2

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\frac{d}{d x} (π x^{3})

3 π x^{2}

Solution steps

\frac{d}{d x} (π x^{3})

Take the constant out:

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

= π \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= π 3 x^{3 - 1}

Simplify

= 3 π x^{2}

\int tan (x) (6 cos (x) - 6 sec (x)) d x

y = \frac{1}{x - 1}

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

y = cot (7 x - 3)

x \to 4 lim (\frac{6 x}{x - 4})