# How do you use the first and second derivatives to sketch #y = e^(1-2x)#?

##### 1 Answer

Dec 15, 2017

See argument below.

#### Explanation:

Apply chain rule

Apply power rule

Similarly,

For extrema points of

However, in this case,

Consider,

Also consider,

Hence, it seems reasonable to deduce that

This helps us visualise the graph of

The other important point we need for the graph is at

Here,

We see the point

graph{e^(1-2x) [-5.69, 5.406, -1.722, 3.827]}