What is the derivative of sqrt(7-x^2) ?

The derivative of sqrt(7-x^2) is -x/(sqrt(7-x^2))

What is the first derivative of sqrt(7-x^2) ?

The first derivative of sqrt(7-x^2) is -x/(sqrt(7-x^2))

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\frac{d}{d x} (7 - x^{2})

- \frac{x}{7 - x ^{2}}

Solution steps

\frac{d}{d x} (7 - x^{2})

Apply the chain rule:

\frac{1}{2 7 - x ^{2}} \frac{d}{d x} (7 - x^{2})

= \frac{1}{2 7 - x ^{2}} \frac{d}{d x} (7 - x^{2})

\frac{d}{d x} (7 - x^{2}) = - 2 x

= \frac{1}{2 7 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 7 - x ^{2}} (- 2 x) : - \frac{x}{7 - x ^{2}}

= - \frac{x}{7 - x ^{2}}

x \to π lim (- 6 sin (x) + 4 x)

t (\frac{d y}{d t}) + 27 y = \frac{1}{t}

\frac{\partial}{\partial θ} (tan (θ))

f (x) = e^{x}

\frac{d q}{d t} + 3 \cdot q = 0, q (0) = 9

What is the derivative of sqrt(7-x^2) ?
The derivative of sqrt(7-x^2) is -x/(sqrt(7-x^2))
What is the first derivative of sqrt(7-x^2) ?
The first derivative of sqrt(7-x^2) is -x/(sqrt(7-x^2))