as earboth already said, when we have a constant multiplier to a derivative, we can essentially forget about it and differentiate the (variable) function and then apply the constant multiplier when we're done. in fact, this is one of the properties of derivatives:
where is a constant
Hello, runner07!
You should have been shown the formula for "other bases".
You can always derive the formula . . . (Yeah, right!)im stuck here, how do i differentiate this?
. .
We have: . . ... where is a positive real number
. . Re-write in exponential form: .
. . Take logs: .
. . Differentiate implicitly: .
Therefore: .
So the derivative of is: .