1. A Different Type of Derivative
Katherine Han
Period 3

2. If f(x)= 10x, then find f’(1)
The Process
The process is best explained through an example. Hence:
If f(x)= 10x, then find f’(1)
Step 1: Set 10x equal to “u”
10x=u
Take ln of both sides to bring “x” out of the exponent
xln10=lnu
Take the derivative
ln10 = (1/u) du

3. The Process, Continued Get du all by itself uln10 = du
Plug in the value of “u”
10xln10 = du
Plug in the x value, given in the problem
101ln10=du
Solve
10ln10=

4. … and that’s all you have to do