What is the derivative of-(x^2)/(20)+230x-74000 ?

The derivative of-(x^2)/(20)+230x-74000 is -x/(10)+230

What is the first derivative of-(x^2)/(20)+230x-74000 ?

The first derivative of-(x^2)/(20)+230x-74000 is -x/(10)+230

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derivative of

- \frac{x ^{2}}{20} + 230 x - 74000

- \frac{x}{10} + 230

Solution steps

\frac{d}{d x} (- \frac{x ^{2}}{20} + 230 x - 74000)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{x ^{2}}{20}) + \frac{d}{d x} (230 x) - \frac{d}{d x} (74000)

\frac{d}{d x} (\frac{x ^{2}}{20}) = \frac{x}{10}

\frac{d}{d x} (230 x) = 230

\frac{d}{d x} (74000) = 0

= - \frac{x}{10} + 230 - 0

Simplify

= - \frac{x}{10} + 230

What is the derivative of-(x^2)/(20)+230x-74000 ?
The derivative of-(x^2)/(20)+230x-74000 is -x/(10)+230
What is the first derivative of-(x^2)/(20)+230x-74000 ?
The first derivative of-(x^2)/(20)+230x-74000 is -x/(10)+230