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Popular >

derivative of x*arcsin(x+sqrt(1-x^2))

Solution

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

Solution

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)

Graph

Popular Examples

tangent of y=5x-x^2 tangent of

y = 5 x - x^{2}

derivative of 2sec(x+tan(x))

\frac{d}{d x} (2 sec (x) + tan (x))

(2xy-3x^2)dx+x^2dy=0

(2 x y - 3 x^{2}) d x + x^{2} d y = 0

f(x)=ln(cos(3x))

f (x) = ln (cos (3 x))

(\partial)/(\partial x)(x^3esqrt(3xy))

\frac{\partial}{\partial x} (x^{3} e 3 x y)

Frequently Asked Questions (FAQ)

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