What is the first derivative of a-bx ?

The first derivative of a-bx is -b

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derivative of a-bx

\frac{d}{d x} (a - b x)

- b

Solution steps

\frac{d}{d x} (a - b x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d a}{d x} - \frac{d}{d x} (b x)

\frac{d a}{d x} = 0

\frac{d}{d x} (b x) = b

= 0 - b

Simplify

= - b

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