Question 129

$$\frac{\text{d}}{\text{d}x}{(\cos(3\log_e x))} =$$

Solution

we will use chain rule, moving inwards

there are 3 functions in the form: cos K, 3M, and log Z

For cos K differentiation, -sin K = -sin (3log x)........where K = (3 logx)

For 3M , differentiation, =3 ..................

For log z, differentiation = 1/z = 1/x

Combining all the three

$$\frac{\text{d}}{\text{d}x}{(\cos(3\log_e x))} =$$ = {-sin (3log x)}{-3}{1/x} =

Answer

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