y= x Arcsin(x/2); y'= Arcsinx - (x/2 sqrt (1- (x/4) )) Arcsin (x/2) + ( x / sqrt ( 4- (x^2))) O Arcsinx - (x / 2 sqrt ( 1 - ( (x^2) /4) ) ) Arcsin (x/2) + ( 2x / sqrt ( 4 - x )) O NONE OF THE ABOVE y = Arccot (cosx); y' * sin x / ( 1 + sin^2 (x) ) O - sin x / (1+ sin^2 (x) ) sin x / sqrt ( 1 - sin^2 (x) ) 1/ sin x NONE OF THE ABOVE

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Differentiate the following functions in its simplest from ..... with solution please...

y= x Arcsin(x/2);y= *
Arcsinx - (x / 2 sqrt (1- (x/4) ))
O Arcsin (x/2) + (x / sqrt ( 4 - (x^2)))
O Arcsinx - (x / 2 sqrt (1 - ( (x^2) /4) ) )
O Arcsin (x/2) + ( 2x / sqrt ( 4 - x))
O NONE OF THE ABOVE
y = Arccot (Cosx ); y'*
O sin x / ( 1 + sin^2 (x) )
O - sin x / (1 + sin^2 (x) )
sin x / sqrt (1 - sin^2 (x) )
O 1/ sin x
O NONE OF THE ABOVE
Transcribed Image Text:y= x Arcsin(x/2);y= * Arcsinx - (x / 2 sqrt (1- (x/4) )) O Arcsin (x/2) + (x / sqrt ( 4 - (x^2))) O Arcsinx - (x / 2 sqrt (1 - ( (x^2) /4) ) ) O Arcsin (x/2) + ( 2x / sqrt ( 4 - x)) O NONE OF THE ABOVE y = Arccot (Cosx ); y'* O sin x / ( 1 + sin^2 (x) ) O - sin x / (1 + sin^2 (x) ) sin x / sqrt (1 - sin^2 (x) ) O 1/ sin x O NONE OF THE ABOVE
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