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

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

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

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

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derivative of

y = 2 5 - x^{2}

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int (x^{2} + 3)^{3} 2 x d x

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

\int \frac{v + 3}{v - 1} d v

\frac{d}{d x} (3 (5 - x)^{2})

\frac{\partial}{\partial z} (z^{2} cos (y x))

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