Find the derivative of the function

Derivative of a function h with respect to t is denoted as h'(t).

 The given function: is in a form of a logarithmic function.

From the derivative for logarithmic functions, we follow:

By comparison:  vs. we should let:

and

 For the derivative of u, recall the Chain Rule formula:

Using , we let:

...

Derivative of a function h with respect to t is denoted as h'(t).

 The given function: is in a form of a logarithmic function.

From the derivative for logarithmic functions, we follow:

By comparison:  vs. we should let:

and

 For the derivative of u, recall the Chain Rule formula:

Using , we let:

as the inner function

Following the Chain Rule formula, we get:

or

 Plug-in the values:

,      ,  and

 in the  , we get:

Cancel out common factor (4-t):

 or