What is the derivative of sqrt(20-x^2) ?

The derivative of sqrt(20-x^2) is -x/(sqrt(20-x^2))

What is the first derivative of sqrt(20-x^2) ?

The first derivative of sqrt(20-x^2) is -x/(sqrt(20-x^2))

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\frac{d}{d x} (20 - x^{2})

- \frac{x}{20 - x ^{2}}

Solution steps

\frac{d}{d x} (20 - x^{2})

Apply the chain rule:

\frac{1}{2 20 - x ^{2}} \frac{d}{d x} (20 - x^{2})

= \frac{1}{2 20 - x ^{2}} \frac{d}{d x} (20 - x^{2})

\frac{d}{d x} (20 - x^{2}) = - 2 x

= \frac{1}{2 20 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 20 - x ^{2}} (- 2 x) : - \frac{x}{20 - x ^{2}}

= - \frac{x}{20 - x ^{2}}

x \to 6 lim (f (x))

\int \frac{t}{1 - t ^{3}} d t

\frac{d y}{d x} = x + 4 y

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

\int_{1}^{2} 4 x 3 x^{2} - 1 d x

What is the derivative of sqrt(20-x^2) ?
The derivative of sqrt(20-x^2) is -x/(sqrt(20-x^2))
What is the first derivative of sqrt(20-x^2) ?
The first derivative of sqrt(20-x^2) is -x/(sqrt(20-x^2))