What is the first derivative of 2ax ?

The first derivative of 2ax is 2a

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derivative of 2ax

\frac{d}{d x} (2 a x)

2 a

Solution steps

\frac{d}{d x} (2 a x)

Take the constant out:

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

= 2 a \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= 2 a \cdot 1

Simplify

= 2 a