Question

derivative of exponential

Answer 1

y= log4 (5x+1)

Answer 2

not to be critical, but that is not exponential is it?

Answer 3

no it's not and base 4

Answer 4

is this correct?
y'=log4(5x+1)5ln4 ?

Answer 5

\[\log_4(x)=\frac{\ln(x)}{\ln(4)}\] and the derivative of \(\ln(x)\)is well known

Answer 6

so what you are looking for is \[\frac{1}{\ln(4)}\times \frac{d}{dx}[\ln(5x+1)]\]

Answer 7

and no, that is not correct

Answer 8

what is \[\frac{d}{dx}[\ln(5x+1)]\]?

Answer 9

ln(5x+1)(5) ?