The Student Room Group

C3 ALL natural logs and exponential rules required!

Hi there,

I am currently revising C3 and one thing I continuously get confused with is ln's and e's and all the general rules and rules for intergration and differentiation

I was wondering if anyone could write a list of all the rules, I will list the ones I know for example:

alnb = ln(b^a)

dy/dx of ln1 = 1/x

dy/dx of e^-x = -e^-x
Reply 1
Avatar for Lanre
Lanre
7
ln(a)-ln(b)=ln(a/b)
ln(a)+ln(b)=ln(a*b)
Original post by The0neAnd0nly
Hi there,

I am currently revising C3 and one thing I continuously get confused with is ln's and e's and all the general rules and rules for intergration and differentiation

I was wondering if anyone could write a list of all the rules, I will list the ones I know for example:

alnb = ln(b^a)

dy/dx of ln1 = 1/x

dy/dx of e^-x = -e^-x


The second rule you know - probably just a typing error but ddx(ln1)=0\frac{d}{dx}(ln1) = 0 since ln1 = 0 what I think you meant was ddx(lnx)=1x \frac{d}{dx}(lnx) = \frac{1}{x}

I'm sure you knew that, just best to be safe :smile:

ddx(eax)=ddx(ax)∗eax\frac{d}{dx}(e^{ax}) = \frac{d}{dx}(ax) * e^{ax} by the chain rule. A more general formula for the third thing you said you knew.

Surely there's a list in the text book?
Reply 3
Avatar for The.Doctor
The.Doctor
2
www.rapidtables.com/math/algebra/logarithm/Logarithm_Rules.htm
Reply 4
Avatar for The0neAnd0nly
The0neAnd0nly
OP
Thanks guys and those tables are extremely helpful!

@Theirattional yes I did mean lnx differentiates to 1/x, my mistake.

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you