# How do you find #dy/dx# by implicit differentiation given #e^x=lny#?

##### 1 Answer

#### Explanation:

Use the following differentiation rules:

•

•

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When we use implicit differentiation, we must differentiate with respect to one variable without isolating another.

The following step represents that we take the derivative with respect to

Use the identities above, and implicit differentiation:

The relation

We could have also differentiated the above equation to find

Use the rule

Hopefully this helps!