What is the derivative of sqrt(x^2-4)+sqrt(4-y^2) ?

The derivative of sqrt(x^2-4)+sqrt(4-y^2) is x/(sqrt(x^2-4))-(y\frac{dy)/(dx)}{sqrt(4-y^2)}

What is the first derivative of sqrt(x^2-4)+sqrt(4-y^2) ?

The first derivative of sqrt(x^2-4)+sqrt(4-y^2) is x/(sqrt(x^2-4))-(y\frac{dy)/(dx)}{sqrt(4-y^2)}

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Popular >

\frac{d}{d x} (x^{2} - 4 + 4 - y^{2})

\frac{x}{x ^{2} - 4} - \frac{y \frac{d y}{d x}}{4 - y ^{2}}

Solution steps

\frac{d}{d x} (x^{2} - 4 + 4 - y^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= \frac{x}{x ^{2} - 4} - \frac{y \frac{d y}{d x}}{4 - y ^{2}}

\int x^{2} (x^{3} + 1)^{4} d x

\frac{\partial}{\partial x} (x^{2} + y^{2} + 48 - x y - 6 x)

\frac{cos ( x )}{x ^{7}}

f (x) = x^{2} - 3 x

\int 21 t e^{t} d t

What is the derivative of sqrt(x^2-4)+sqrt(4-y^2) ?
The derivative of sqrt(x^2-4)+sqrt(4-y^2) is x/(sqrt(x^2-4))-(y\frac{dy)/(dx)}{sqrt(4-y^2)}
What is the first derivative of sqrt(x^2-4)+sqrt(4-y^2) ?
The first derivative of sqrt(x^2-4)+sqrt(4-y^2) is x/(sqrt(x^2-4))-(y\frac{dy)/(dx)}{sqrt(4-y^2)}