What is the derivative of x(55-0.5x-110) ?

The derivative of x(55-0.5x-110) is -x+55

What is the first derivative of x(55-0.5x-110) ?

The first derivative of x(55-0.5x-110) is -x+55

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\frac{d}{d x} (x (55 - 0.5 x) - 110)

- x + 55

Solution steps

\frac{d}{d x} (x (55 - 0.5 x) - 110)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x (55 - 0.5 x)) - \frac{d}{d x} (110)

\frac{d}{d x} (x (55 - 0.5 x)) = 55 - x

\frac{d}{d x} (110) = 0

= 55 - x - 0

Simplify

= - x + 55

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What is the derivative of x(55-0.5x-110) ?
The derivative of x(55-0.5x-110) is -x+55
What is the first derivative of x(55-0.5x-110) ?
The first derivative of x(55-0.5x-110) is -x+55