What is the derivative of sqrt(4-x^2)+2arcsin(x/2) ?

The derivative of sqrt(4-x^2)+2arcsin(x/2) is (-x+2)/(sqrt(-x^2+4))

What is the first derivative of sqrt(4-x^2)+2arcsin(x/2) ?

The first derivative of sqrt(4-x^2)+2arcsin(x/2) is (-x+2)/(sqrt(-x^2+4))

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Popular >

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

\frac{- x + 2}{- x ^{2} + 4}

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 - x^{2}) + \frac{d}{d x} (2 arcsin (\frac{x}{2}))

\frac{d}{d x} (4 - x^{2}) = - \frac{x}{4 - x ^{2}}

\frac{d}{d x} (2 arcsin (\frac{x}{2})) = \frac{2}{4 - x ^{2}}

= - \frac{x}{4 - x ^{2}} + \frac{2}{4 - x ^{2}}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- x + 2}{- x ^{2} + 4}

\frac{x ^{2}}{x - 3}

y^{^{''}} + 4 y^{^{'}} + 4 y = x^{2}

\int (8 x^{5} - 5 x^{4} - 4 x^{3} - 6 x^{2} - 2 x - 3) d x

\frac{30000}{1.8 t + 9}

What is the derivative of sqrt(4-x^2)+2arcsin(x/2) ?
The derivative of sqrt(4-x^2)+2arcsin(x/2) is (-x+2)/(sqrt(-x^2+4))
What is the first derivative of sqrt(4-x^2)+2arcsin(x/2) ?
The first derivative of sqrt(4-x^2)+2arcsin(x/2) is (-x+2)/(sqrt(-x^2+4))