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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

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

y^{^{'}} = \frac{- y}{40 - t}

\int 2 (1 + tan^{2} (a)) d a

x \to 0 lim (sec^{2} (x))

\frac{d}{d x} (380000 x - \frac{1}{32} x^{2})

\int (4 x - 8 y^{3}) d y

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