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

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

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

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

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derivative of

x + 1 - x^{2}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int cot^{5} (6 x) d x

\frac{\partial}{\partial x} (x e^{x y} + 2 x y + \frac{1}{x})

f (x) = 2 x^{2} - 5 x + 3, at x = 0

\int \frac{8 + x + x}{x} d x

\frac{d x}{d t} = x sin (t)

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