Derivative of y=\arccos(x)

vegetars8t

vegetars8t

Answered question

2021-12-17

Derivative of y=arccos(x)

Answer & Explanation

sonorous9n

sonorous9n

Beginner2021-12-18Added 34 answers

y=arccos(x) 
cos(y)=cos(arccos(x)) 
cos(y)=x 
Employ the Chain Rule.
sin(y) dy  dx =1 
Solve for  dy  dx  
 dy  dx =1sin(y) 
 dy  dx =1sin(arccos(x)) 
Now we can streamline
sin(arccos(x))=cos(arcsin(x))=1x2 
 dy  dx =11x2

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