What is the derivative of sqrt(81+x^2) ?

The derivative of sqrt(81+x^2) is x/(sqrt(81+x^2))

What is the first derivative of sqrt(81+x^2) ?

The first derivative of sqrt(81+x^2) is x/(sqrt(81+x^2))

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\frac{d}{d x} (81 + x^{2})

\frac{x}{81 + x ^{2}}

Solution steps

\frac{d}{d x} (81 + x^{2})

Apply the chain rule:

\frac{1}{2 81 + x ^{2}} \frac{d}{d x} (81 + x^{2})

= \frac{1}{2 81 + x ^{2}} \frac{d}{d x} (81 + x^{2})

\frac{d}{d x} (81 + x^{2}) = 2 x

= \frac{1}{2 81 + x ^{2}} \cdot 2 x

Simplify

\frac{1}{2 81 + x ^{2}} \cdot 2 x : \frac{x}{81 + x ^{2}}

= \frac{x}{81 + x ^{2}}

\frac{d}{d x} (x arcsin (\frac{x}{4}) + 16 - x^{2})

\int 45 (1 + x) d x

\frac{\partial}{\partial x} (ln (x^{y}))

x \to 0 lim (\frac{1}{x} - \frac{1}{e ^{t} - 1})

x \to 4 lim (\frac{3 x + 4}{x - 2})

What is the derivative of sqrt(81+x^2) ?
The derivative of sqrt(81+x^2) is x/(sqrt(81+x^2))
What is the first derivative of sqrt(81+x^2) ?
The first derivative of sqrt(81+x^2) is x/(sqrt(81+x^2))