What is the derivative of sqrt(2500-x^2) ?

The derivative of sqrt(2500-x^2) is -x/(sqrt(2500-x^2))

What is the first derivative of sqrt(2500-x^2) ?

The first derivative of sqrt(2500-x^2) is -x/(sqrt(2500-x^2))

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\frac{d}{d x} (2500 - x^{2})

- \frac{x}{2500 - x ^{2}}

Solution steps

\frac{d}{d x} (2500 - x^{2})

Apply the chain rule:

\frac{1}{2 2500 - x ^{2}} \frac{d}{d x} (2500 - x^{2})

= \frac{1}{2 2500 - x ^{2}} \frac{d}{d x} (2500 - x^{2})

\frac{d}{d x} (2500 - x^{2}) = - 2 x

= \frac{1}{2 2500 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 2500 - x ^{2}} (- 2 x) : - \frac{x}{2500 - x ^{2}}

= - \frac{x}{2500 - x ^{2}}

\int_{0}^{1} t^{2} e^{- 2 t} d t

\int \frac{e ^{x}}{( e ^{x} - 6 ) ( e ^{2 x} + 1 )} d x

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

f (x) = \frac{x}{x + 17}

\int 3 x - 2 x d x

What is the derivative of sqrt(2500-x^2) ?
The derivative of sqrt(2500-x^2) is -x/(sqrt(2500-x^2))
What is the first derivative of sqrt(2500-x^2) ?
The first derivative of sqrt(2500-x^2) is -x/(sqrt(2500-x^2))