What is the derivative of sqrt(50-x^2) ?

The derivative of sqrt(50-x^2) is -x/(sqrt(50-x^2))

What is the first derivative of sqrt(50-x^2) ?

The first derivative of sqrt(50-x^2) is -x/(sqrt(50-x^2))

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\frac{d}{d x} (50 - x^{2})

- \frac{x}{50 - x ^{2}}

Solution steps

\frac{d}{d x} (50 - x^{2})

Apply the chain rule:

\frac{1}{2 50 - x ^{2}} \frac{d}{d x} (50 - x^{2})

= \frac{1}{2 50 - x ^{2}} \frac{d}{d x} (50 - x^{2})

\frac{d}{d x} (50 - x^{2}) = - 2 x

= \frac{1}{2 50 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 50 - x ^{2}} (- 2 x) : - \frac{x}{50 - x ^{2}}

= - \frac{x}{50 - x ^{2}}

\frac{d}{d x} ((\frac{3}{4} x)^{4})

x \to 0 lim ((3 x + 1)^{\frac{1}{x}})

\frac{\partial}{\partial y} (x y sin (x))

\frac{\partial}{\partial x} (y^{4} - 4 x y)

\int ln (1 - x^{2}) d x

What is the derivative of sqrt(50-x^2) ?
The derivative of sqrt(50-x^2) is -x/(sqrt(50-x^2))
What is the first derivative of sqrt(50-x^2) ?
The first derivative of sqrt(50-x^2) is -x/(sqrt(50-x^2))