What is the derivative of x-arcsin(x) ?

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

What is the first derivative of x-arcsin(x) ?

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (arcsin (x))

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

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

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

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