What is the derivative of arcsin(2x-1) ?

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

What is the first derivative of arcsin(2x-1) ?

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

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derivative of

arcsin (2 x - 1)

\frac{1}{x ( - x + 1 )}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{e ^{x}}{x ^{9}}

2 x + 3 x^{2} + 4

y = (x^{2} + 1) sin (x)

2 cos^{2} (x) - 1

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

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