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

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

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

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

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derivative of

x arcsin (x) + 1 - x^{2}

arcsin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= arcsin (x)

\frac{\partial}{\partial x} (x - ln (x + 1))

\int \frac{7 sin ^{3} ( x )}{x} d x

X^{2}

\int (\frac{1}{x ^{2}} + \frac{1}{x x} + 5) d x

x \to 5 - lim (\frac{( x + 1 )}{x - 5})

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