What is the derivative of sqrt(2-x)-sqrt(y+1) ?

The derivative of sqrt(2-x)-sqrt(y+1) is -1/(2sqrt(2-x))-(\frac{dy)/(dx)}{2sqrt(y+1)}

What is the first derivative of sqrt(2-x)-sqrt(y+1) ?

The first derivative of sqrt(2-x)-sqrt(y+1) is -1/(2sqrt(2-x))-(\frac{dy)/(dx)}{2sqrt(y+1)}

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\frac{d}{d x} (2 - x - y + 1)

- \frac{1}{2 2 - x} - \frac{\frac{d y}{d x}}{2 y + 1}

Solution steps

\frac{d}{d x} (2 - x - y + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 - x) - \frac{d}{d x} (y + 1)

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

\frac{d}{d x} (y + 1) = \frac{\frac{d y}{d x}}{2 y + 1}

= - \frac{1}{2 2 - x} - \frac{\frac{d y}{d x}}{2 y + 1}

What is the derivative of sqrt(2-x)-sqrt(y+1) ?
The derivative of sqrt(2-x)-sqrt(y+1) is -1/(2sqrt(2-x))-(\frac{dy)/(dx)}{2sqrt(y+1)}
What is the first derivative of sqrt(2-x)-sqrt(y+1) ?
The first derivative of sqrt(2-x)-sqrt(y+1) is -1/(2sqrt(2-x))-(\frac{dy)/(dx)}{2sqrt(y+1)}