Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

C3 differentiation question?

how to differentiate this:

f(x)=sin3x/e^x

thnx
note: rep+ available the day after exam.

Have you tried using the quotient rule?

let u= sin3x v=e^x

du/dx= 3cos3x
dv/dx = e^x

f'(x)= [ v(du/dx) - u(dv/dx) ] / v^2
= [ e^x(3cos3x ) - sin3x (e^x) ] / (e^x)^2
=[ e^x ( 3cos3x-sin3x) ] / (e^x)^2
= ( 3cos3x-sin3x) ] / (e^x).

OP

FZka

let u= sin3x v=e^x

du/dx= 3cos3x
dv/dx = e^x

f'(x)= [ v(du/dx) - u(dv/dx) ] / v^2
= [ e^x(3cos3x ) - sin3x (e^x) ] / (e^x)^2
=[ e^x ( 3cos3x-sin3x) ] / (e^x)^2
= ( 3cos3x-sin3x) ] / (e^x).

aaah i seee thanks :biggrin:

:biggrin:

and one more thing
is (e^x)^2=e^2x or e^x^2

e^2x

OP

DLS

e^2x

thank You for clearing that up :biggrin:

:biggrin:

now im all done! just need to revise solving equation chapter which won't take long :smile:

:smile:

then off to bed and wake up early 8am and start refreshing my mind lol

Remarqable M

aaah i seee thanks :biggrin:

:biggrin:

and one more thing
is (e^x)^2=e^2x or e^x^2

(x^n)^m = x^nm

wat wud happen in the situation (3x^2)^3 ???

Knight91

wat wud happen in the situation (3x^2)^3 ???

27x^6

Remarqable M

how to differentiate this:

f(x)=sin3x/e^x

thnx
note: rep+ available the day after exam.

:innocent:

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