What is the derivative of arcsin(x+arccos(x)) ?

The derivative of arcsin(x+arccos(x)) is 0

What is the first derivative of arcsin(x+arccos(x)) ?

The first derivative of arcsin(x+arccos(x)) is 0

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\frac{d}{d x} (arcsin (x) + arccos (x))

0

Solution steps

\frac{d}{d x} (arcsin (x) + arccos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (arcsin (x)) + \frac{d}{d x} (arccos (x))

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

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

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

Simplify

= 0

What is the derivative of arcsin(x+arccos(x)) ?
The derivative of arcsin(x+arccos(x)) is 0
What is the first derivative of arcsin(x+arccos(x)) ?
The first derivative of arcsin(x+arccos(x)) is 0