Derivative of y=\arccos(x)

vegetars8t 2021-12-17 Answered
Derivative of y=arccos(x)
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Expert Answer

sonorous9n
Answered 2021-12-18 Author has 34 answers
y=arccos(x)
cos(y)=cos(arccos(x))
cos(y)=x
Use the Chain Rule
sin(y)dydx=1
Solve for dydx
dydx=1sin(y)
dydx=1sin(arccos(x))
Now, we can simplify
sin(arccos(x))=cos(arcsin(x))=1x2
dydx=11x2

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