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Popular Calculus >

derivative of sqrt(x/(9.8))

Solution

\frac{d}{d x} (\frac{x}{9.8})

Solution

\frac{0.15971 \dots}{x}

Solution steps

\frac{d}{d x} (\frac{x}{9.8})

Apply the chain rule:

\frac{1}{2 \frac{x}{9.8}} \frac{d}{d x} (\frac{x}{9.8})

= \frac{1}{2 \frac{x}{9.8}} \frac{d}{d x} (\frac{x}{9.8})

\frac{d}{d x} (\frac{x}{9.8}) = 0.10204 \dots

= \frac{1}{2 \frac{x}{9.8}} \cdot 0.10204 \dots

Simplify

\frac{1}{2 \frac{x}{9.8}} \cdot 0.10204 \dots : \frac{0.15971 \dots}{x}

= \frac{0.15971 \dots}{x}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x/(9.8)) ?
The derivative of sqrt(x/(9.8)) is (0.15971…)/(sqrt(x))
What is the first derivative of sqrt(x/(9.8)) ?
The first derivative of sqrt(x/(9.8)) is (0.15971…)/(sqrt(x))