What is the derivative of sqrt(50-x^2)-x ?

The derivative of sqrt(50-x^2)-x is -x/(sqrt(50-x^2))-1

What is the first derivative of sqrt(50-x^2)-x ?

The first derivative of sqrt(50-x^2)-x is -x/(sqrt(50-x^2))-1

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\frac{d}{d x} (50 - x^{2} - x)

- \frac{x}{50 - x ^{2}} - 1

Solution steps

\frac{d}{d x} (50 - x^{2} - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (50 - x^{2}) - \frac{d x}{d x}

\frac{d}{d x} (50 - x^{2}) = - \frac{x}{50 - x ^{2}}

\frac{d x}{d x} = 1

= - \frac{x}{50 - x ^{2}} - 1

What is the derivative of sqrt(50-x^2)-x ?
The derivative of sqrt(50-x^2)-x is -x/(sqrt(50-x^2))-1
What is the first derivative of sqrt(50-x^2)-x ?
The first derivative of sqrt(50-x^2)-x is -x/(sqrt(50-x^2))-1