What is the first derivative of 400x ?

The first derivative of 400x is 400

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derivative of 400x

\frac{d}{d x} (400 x)

400

Solution steps

\frac{d}{d x} (400 x)

Take the constant out:

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

= 400 \frac{d x}{d x}

Apply the common derivative:

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

= 400 \cdot 1

Simplify

= 400

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