What is the derivative of sqrt(400-5x) ?

The derivative of sqrt(400-5x) is -5/(2sqrt(400-5x))

What is the first derivative of sqrt(400-5x) ?

The first derivative of sqrt(400-5x) is -5/(2sqrt(400-5x))

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\frac{d}{d x} (400 - 5 x)

- \frac{5}{2 400 - 5 x}

Solution steps

\frac{d}{d x} (400 - 5 x)

Apply the chain rule:

\frac{1}{2 400 - 5 x} \frac{d}{d x} (400 - 5 x)

= \frac{1}{2 400 - 5 x} \frac{d}{d x} (400 - 5 x)

\frac{d}{d x} (400 - 5 x) = - 5

= \frac{1}{2 400 - 5 x} (- 5)

Simplify

\frac{1}{2 400 - 5 x} (- 5) : - \frac{5}{2 400 - 5 x}

= - \frac{5}{2 400 - 5 x}

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What is the derivative of sqrt(400-5x) ?
The derivative of sqrt(400-5x) is -5/(2sqrt(400-5x))
What is the first derivative of sqrt(400-5x) ?
The first derivative of sqrt(400-5x) is -5/(2sqrt(400-5x))