What is the derivative of e^x/3

Question

asked Feb 25, 2020 6.2k views

2 Answers

Joshua LI · Answer 1 · 2020-02-27T07:13:27+0000

Answer:

$(1)/(3)e^{(x)/(3)}$

Explanation:

The given expression is

$e^{(x)/(3) }$

Let

$y=e^{(x)/(3) }$

We can rewrite this as

$y=e^{(1)/(3)x }$

This is of the form

y=e^(ax)

The derivative of exponential functions in this form is given by;

(dy)/(dx)=ae^(ax)

This implies that;

$(dy)/(dx)=(1)/(3)e^{(x)/(3)}$

Hence the derivative of the given function is

$(1)/(3)e^{(x)/(3)}$