Question

If y=log5(log7x),find dy/dx

Answer 1

Answer:

The Differentiation of function y with respect to x is  $\dfrac{1}{x logx}$  .

Step-by-step explanation:

Given as :

y is the function of x as

y = log (log 7 x)

So, Differentiation of function y with respect to x

$\dfrac{\partial y}{\partial x}$ =  $\dfrac{\partial log(logx)}{\partial x}$

or , $\dfrac{\partial y}{\partial x}$ =  $\dfrac{\partial log(logx)}{\partial logx}$ × $\dfrac{\partial logx}{\partial x}$

Or, $\dfrac{\partial y}{\partial x}$ = $\dfrac{1}{log x}$ × $\dfrac{1}{x}$

So, , $\dfrac{\partial y}{\partial x}$ = $\dfrac{1}{x logx}$

So, The Differentiation of function y with respect to x =  $\dfrac{\partial y}{\partial x}$ = $\dfrac{1}{x logx}$

Hence,The Differentiation of function y with respect to x is  $\dfrac{1}{x logx}$  . Answer