Q. 45.0( 3 Votes )

Differentiate each of the following w.r.t. x:

(i) tan (log x)

(ii) log (sec x)

(iii) log (sin (x/2))

Answer :

(i) Let y =tan(log x) z = log x


Formula :


According to chain rule of differentiation





(ii) Let y = log (sec x) z = sec x


Formula :


According to chain rule of differentiation





(iii) Let y = log (sin (x/2)) z = sin (x/2)


Formula :


According to chain rule of differentiation





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