High School Math Solutions – Derivative Calculator, Logarithms & Exponents

In the previous post we covered trigonometric functions derivatives (click here). We can continue to logarithms and exponents.  The derivatives of the natural logarithm and natural exponential function are quite simple. The derivative of ln(x) is 1/x, and the derivative of e^x is, e^x.

From these, we can use the logarithms and exponents rules to differentiate the generalized form of logarithmic or exponential functions, or just get familiar with these four derivatives:

(ln(x))' = 1/x
(e^x)' = e^x
(a^x)' = a^x ln(a)
(log_a(x))’ = 1/x ln(a)

Here’s how it works, (click here):

Here’s another example (click here):

Until next time,
Michal