Differentiate the function. y = 5/In x

Question

Please help me 

Answer 1

We can write the function as

 

y = 5(lnx)^-1

 

 

Now we can use a combination of the product rule and chain rule.

 

y' = 5 * (x^-1) * (-1)(lnx)^-2

 

y' = - 5 / [x(lnx)²]