What is the derivative of f(x)=9pix^2 ?

The derivative of f(x)=9pix^2 is 18pix

What is the first derivative of f(x)=9pix^2 ?

The first derivative of f(x)=9pix^2 is 18pix

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derivative of

f (x) = 9 π x^{2}

18 π x

Solution steps

\frac{d}{d x} (9 π x^{2})

Take the constant out:

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

= 9 π \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 9 π 2 x^{2 - 1}

Simplify

= 18 π x

What is the derivative of f(x)=9pix^2 ?
The derivative of f(x)=9pix^2 is 18pix
What is the first derivative of f(x)=9pix^2 ?
The first derivative of f(x)=9pix^2 is 18pix