I have function: z=(Log[y,x])^2 where y is base of log.
I need to find differential of function z regarding the x.
but math program gives me following answer:
What is the correct answer? Is there any mistake?
Use the change of base rule to get your log into base e:
Treat as constant (because we're differentiating with respect to x)
Use the chain rule to differentiate the numerator
Since this gives the answer the book gives I don't think you have to implicitly differentiate