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}}

1 - x

f (x) = (6 x - 4)^{4}

x \to \infty lim ((\frac{π}{2} - arctan (x))^{\frac{1}{l n ( x )}})

\frac{\partial}{\partial x} (5 y e^{6 x})

\frac{d}{d x} (csc (10 x))

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))