Thread: Elimination of Arbitrary Constants 3

How do I eliminate the arbitrary constant A from the function: y = Ae^(3x)?

Here is my attempt:

y = Ae^(3x)

dy/dx = (how do I differentiate Ae^(3x) ) ??

Originally Posted by sparky

How do I eliminate the arbitrary constant A from the function: y = Ae^(3x)?

Here is my attempt:

y = Ae^(3x)

dy/dx = (how do I differentiate Ae^(3x) ) ??

What is the exact question you are doing?

is the world's easiest function to differentiate! Its derivative is just itself, . To differentiate , use the chain rule to get the derivative dwsmith did.

To get an equation that does not involve the constant A, divide the derivative of y by y:
.