Question

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

(i) tan (log x)

(ii) log (sec x)

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

Answer 1

(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