\[\frac{d}{dx} \sqrt{5}(6{x}^{2}-6x+1)\]

1
Use Constant Factor Rule: ddxcf(x)=c(ddxf(x))\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x)).
5(ddx6x26x+1)\sqrt{5}(\frac{d}{dx} 6{x}^{2}-6x+1)

2
Use Power Rule: ddxxn=nxn1\frac{d}{dx} {x}^{n}=n{x}^{n-1}.
5(12x6)\sqrt{5}(12x-6)

Done

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