The problem is as follows: Differentiate Y = 5^(-1/x)
My solution:
since d/dx(a^x) = a^x * ln(a)
I got dy/dx to be 5^(-1/x)ln5.
this is incorrect, the answer should be [5^(-1/x)ln5] / x^2
Thus, my question is where does that x ^ 2 denominator come from?
While the implicit differentiation seems easier, this problem is in a section before implicit differentiation is covered. This problem appears in a section on the chain rule, how would I solve it without using implicit differentiation?