What is the derivative of sqrt(2-5x^2) ?

The derivative of sqrt(2-5x^2) is -(5x)/(sqrt(2-5x^2))

What is the first derivative of sqrt(2-5x^2) ?

The first derivative of sqrt(2-5x^2) is -(5x)/(sqrt(2-5x^2))

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\frac{d}{d x} (2 - 5 x^{2})

- \frac{5 x}{2 - 5 x ^{2}}

Solution steps

\frac{d}{d x} (2 - 5 x^{2})

Apply the chain rule:

\frac{1}{2 2 - 5 x ^{2}} \frac{d}{d x} (2 - 5 x^{2})

= \frac{1}{2 2 - 5 x ^{2}} \frac{d}{d x} (2 - 5 x^{2})

\frac{d}{d x} (2 - 5 x^{2}) = - 10 x

= \frac{1}{2 2 - 5 x ^{2}} (- 10 x)

Simplify

\frac{1}{2 2 - 5 x ^{2}} (- 10 x) : - \frac{5 x}{2 - 5 x ^{2}}

= - \frac{5 x}{2 - 5 x ^{2}}

\int_{2}^{3} \frac{1}{3 x - 2} d x

f (x) = x^{e}

x \to 0 lim (\frac{tan ( 6 x )}{x})

f (x) = 3 e^{x} x

\frac{\partial}{\partial x} (\frac{2 s - 3 y}{3 s + 5 y})

What is the derivative of sqrt(2-5x^2) ?
The derivative of sqrt(2-5x^2) is -(5x)/(sqrt(2-5x^2))
What is the first derivative of sqrt(2-5x^2) ?
The first derivative of sqrt(2-5x^2) is -(5x)/(sqrt(2-5x^2))