Power rule

Bring the exponent down and subtract 1.

AP and College Calculus: Derivatives

\frac{d}{d x} x^{n} = n x^{n - 1}

Work through it

$12 x^{3} - 5$

$x^{1/2}$ becomes $\frac{1}{2} x^{- 1/2}$

The derivative of 5 is 5.

A constant doesn't change, so its derivative is 0.

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