What is the first derivative of 100x ?

The first derivative of 100x is 100

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derivative of 100x

\frac{d}{d x} (100 x)

100

Solution steps

\frac{d}{d x} (100 x)

Take the constant out:

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

= 100 \frac{d x}{d x}

Apply the common derivative:

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

= 100 \cdot 1

Simplify

= 100

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