What is the derivative of 4pix^2 ?

The derivative of 4pix^2 is 8pix

What is the first derivative of 4pix^2 ?

The first derivative of 4pix^2 is 8pix

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derivative of

4 π x^{2}

8 π x

Solution steps

\frac{d}{d x} (4 π x^{2})

Take the constant out:

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

= 4 π \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 4 π 2 x^{2 - 1}

Simplify

= 8 π x

n = 1 \sum \infty \frac{1}{n ^{2} + 2 n}

\frac{1}{s ^{2}} - \frac{1}{s} + \frac{1}{s - 2}

f (x) = (1 - x) (x^{2} - 3)^{2}

n = 0 \sum \infty 1^{2 n}

\frac{\partial}{\partial z} (x cos (z))