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

The derivative of arcsin(x-2) is 1/(sqrt(-x^2+4x-3))

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

The first derivative of arcsin(x-2) is 1/(sqrt(-x^2+4x-3))

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derivative of

arcsin (x - 2)

\frac{1}{- x ^{2} + 4 x - 3}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{1 - ( x - 2 ) ^{2}} \cdot 1 : \frac{1}{- x ^{2} + 4 x - 3}

= \frac{1}{- x ^{2} + 4 x - 3}

\frac{\partial}{\partial t} (t + 3 e^{s})

y^{^{''}} + y^{^{'}} = 9

\frac{\partial}{\partial x} (x^{5} v^{2} + 2 y^{3} u - 3)

\int y^{\frac{1}{3}} d y

\int x^{2} 1 + x^{3} d x

What is the derivative of arcsin(x-2) ?
The derivative of arcsin(x-2) is 1/(sqrt(-x^2+4x-3))
What is the first derivative of arcsin(x-2) ?
The first derivative of arcsin(x-2) is 1/(sqrt(-x^2+4x-3))