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

The derivative of xarccos(x-sqrt(1-x^2)) is arccos(x)

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

The first derivative of xarccos(x-sqrt(1-x^2)) is arccos(x)

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

arccos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= arccos (x)

x^{10} e^{x}

e^{\frac{x}{2}}

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

\int_{0}^{9} 5 x + 6 - x d x

y^{^{'}} = - y^{2} t - y^{2} t^{2}

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