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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\frac{d}{d x} (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}})

Simplify

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

y^{^{''}} + 4 y^{^{'}} + 8 y = 0

\int \frac{5}{x ( x ^{4} + 6 )} d x

x \to 2 lim (\frac{2 - x}{x})

\int_{- 2}^{2} \frac{3}{( x + 3 ) ^{4}} d x

\int (6 x^{2} y + 2 x) d y

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))