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# differentiation simple watch

1. e^3x + ln 2x,

My first thought was using product rule since in my school , they always say that when there's 2 functions of x use product rule . I looked at the mark scheme , and theyve used chain rule.

I am very confused , can someone clearly tell me why theyve used the chainrule .

Kind Regard.
2. quotient rule is for quotients - essentially a fraction. There is no quotient here. We have functions within functions here.

use chain rule separately on and

let do chain rule

let do chain rule

there is a simple rule you can remember to differentiate e and ln but i want you to find it by chain rule first.
3. (Original post by BTAnonymous)
quotient rule is for quotients - essentially a fraction. There is no quotient here. We have functions within functions here.

use chain rule separately on and

let do chain rule

let do chain rule

there is a simple rule you can remember to differentiate e and ln but i want you to find it by chain rule first.
sorry , i meant by product rule
4. (Original post by HelloImCool)
sorry , i meant by product rule
product rule is when you have two functions multiplied by each other. we do not have two functions multiplied by each other here.

we use the chain to differentiate a function within a function, something like or

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