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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

f (x) = - 5 t^{3} + 9 t + 7

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

x \to 0 lim (- 4)

g (t) = t^{2} - \frac{4}{t ^{3}}

\int (5 - 2^{- 1}) d x

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