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

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

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

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

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derivative of

f (x) = \frac{3 π x ^{2}}{2}

3 π x

Solution steps

\frac{d}{d x} (\frac{3 π x ^{2}}{2})

Take the constant out:

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

= \frac{3 π}{2} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{3 π}{2} \cdot 2 x^{2 - 1}

Simplify

\frac{3 π}{2} \cdot 2 x^{2 - 1} : 3 π x

= 3 π x

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