What is the derivative of (sqrt(1-x^2)/x) ?

The derivative of (sqrt(1-x^2)/x) is -1/(x^2sqrt(1-x^2))

What is the first derivative of (sqrt(1-x^2)/x) ?

The first derivative of (sqrt(1-x^2)/x) is -1/(x^2sqrt(1-x^2))

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\frac{d}{d x} (\frac{1 - x ^{2}}{x})

- \frac{1}{x ^{2} 1 - x ^{2}}

Solution steps

\frac{d}{d x} (\frac{1 - x ^{2}}{x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

\frac{d x}{d x} = 1

= \frac{( - \frac{x}{1 - x ^{2}} ) x - 1 \cdot 1 - x ^{2}}{x ^{2}}

Simplify

\frac{( - \frac{x}{1 - x ^{2}} ) x - 1 \cdot 1 - x ^{2}}{x ^{2}} : - \frac{1}{x ^{2} 1 - x ^{2}}

= - \frac{1}{x ^{2} 1 - x ^{2}}

\int_{0}^{l n (3)} e^{x} - e^{- 3 x} d x

x \to - 1 lim (h (x))

f (x) = \frac{8}{7 - x}

\int π - x d x

{\frac{1}{s ^{2}} - \frac{48}{s ^{5}}}

What is the derivative of (sqrt(1-x^2)/x) ?
The derivative of (sqrt(1-x^2)/x) is -1/(x^2sqrt(1-x^2))
What is the first derivative of (sqrt(1-x^2)/x) ?
The first derivative of (sqrt(1-x^2)/x) is -1/(x^2sqrt(1-x^2))