# How do you find the derivative of #y=ln(t)/t^2#?

##### 1 Answer

To solve this problem, one must use the quotient rule.

The quotient rule for derivatives states the following:

#(d/dx) [(u(x))/(v(x))] = [u'(x)v(x) - u(x)v'(x)]/[v^2(x)]# .

In other words, the derivative of the quotient is equal to:

The derivative of the numerator function times the original denominator function, minus the product of the original numerator function and the derivative of the denominator function, all divided by the square of the original denominator function. Note that this only works at locations where

#v(x) != 0#

Go here to see how the quotient rule is derived.

Now, for the particular problem in question, we have

The derivative of the function **power rule** to be

Using our above formula for the quotient rule, we arrive at, for all