f(x) = (x+2)*ln x finf f'(1)

To calculate the value of the derivative of the function,
for x = 1, we'll have to differentiate the function.

To
differentiate the function, we'll use the rule of the
product:

f'(x) = (x+2)'*ln x  + (x+2)*(ln
x)'

f'(x) = ln x
+ (x+2)/x

Now, we can substitute the variable by the value
1.

f'(1) =  ln 1 + (1+2)/1

We
know, by definition, that ln 1 = 0.

f'(1) = 0 +
3/1

f'(1) =
3