What is expand (derivative of (x^2-4x+13))/2 ?

The solution to expand (derivative of (x^2-4x+13))/2 is (derivative of 3x^2-12x+3)/2

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expand (derivative of (x^2-4x+13))/2

expand

\frac{\frac{d}{d x} ( ( x ^{2} - 4 x + 1 ) 3 )}{2}

\frac{\frac{d}{d x} ( 3 x ^{2} - 12 x + 3 )}{2}

Solution steps

\frac{\frac{d}{d x} ( ( x ^{2} - 4 x + 1 ) \cdot 3 )}{2}

Expand

(x^{2} - 4 x + 1) \cdot 3 : 3 x^{2} - 12 x + 3

= \frac{\frac{d}{d x} ( 3 x ^{2} - 12 x + 3 )}{2}

\frac{2 x - 1}{x ( x ^{2} + 1 ) ^{2}}

ln (z) (z - 1)^{3}

\frac{d}{d t} ((x) (- x - y (x, t) - t))

\frac{2 x - 1}{( a x + b ) ( c x + d ) ^{2}}

\frac{( ( x + h ) ^{\frac{2}{3}} - x ^{\frac{2}{3}} )}{h}

What is expand (derivative of (x^2-4x+13))/2 ?
The solution to expand (derivative of (x^2-4x+13))/2 is (derivative of 3x^2-12x+3)/2