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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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