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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (7 - 2 x^{2}) = - 4 x

= \frac{1}{2 7 - 2 x ^{2}} (- 4 x)

Simplify

\frac{1}{2 7 - 2 x ^{2}} (- 4 x) : - \frac{2 x}{7 - 2 x ^{2}}

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

3 + 4 x^{2} - 2 x^{3}

\frac{s - 1}{s ^{2} + 1}

(cos (x))^{2}

\frac{\partial}{\partial y} (x e^{y} + 1)

\int \frac{1}{csc ( 2 x )} d x

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