the derivative of f(sin x ) w.r.t.x. when f(x)=log x is
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f(sinx) = logsinx
or, d/dx[f(sinx)] =d/dx(logsinx)
= [d(logsinx)/d.sinx] . (dsinx/dx)
=(1/sinx) .cosx
= cosx/sinx
= cotx
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