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Popular >

derivative of 500sqrt(x)-0.5x-500

Solution

\frac{d}{d x} (500 x - 0.5 x - 500)

Solution

\frac{250}{x} - 0.5

Solution steps

\frac{d}{d x} (500 x - 0.5 x - 500)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (500 x) - \frac{d}{d x} (0.5 x) - \frac{d}{d x} (500)

\frac{d}{d x} (500 x) = \frac{250}{x}

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

\frac{d}{d x} (500) = 0

= \frac{250}{x} - 0.5 - 0

Simplify

= \frac{250}{x} - 0.5

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\frac{d y}{d x} = \frac{( 2 x y - x y ^{2} )}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of 500sqrt(x)-0.5x-500 ?
The derivative of 500sqrt(x)-0.5x-500 is (250)/(sqrt(x))-0.5
What is the first derivative of 500sqrt(x)-0.5x-500 ?
The first derivative of 500sqrt(x)-0.5x-500 is (250)/(sqrt(x))-0.5