Question

if (siny)^x = a , then find the value of dy/dx.

Answer 1

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Answer 2

Solution:-

given》

》 (siny)^x = a

》 take log both side

》 log(siny)^x = loga

》xlog.siny = loga

》 diffrenciation both side with respect to (x)

》x.1/siny.cosdy/dx + logsiny = 0

》 x.coty.dy/dx = -logsiny

》 dy/dx = (-log.siny)/ xcoty (answer )

i hope it is your helpfull for u