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Differentiate e^3x(cosX-3sinX) (1 Viewer)

Thread starter nml10
Start date Apr 3, 2011

N

nml10

Member

#1

Hi, could someone help me with differentiating e^3x(cosX-3sinX) with solutions provided?

Much thanks to those who help.

Shadowdude

Cult of Personality

#2

WolframAlpha it!

elbatiolpxeho

Member

#3

$\frac{d}{dx}\,e^{f(x)}=f'(x)e^{f(x)}$

$\frac{d}{dx}\,3x(\cos x-3\sin x)=-3[(x+3)\sin x+(3x-1)\cos x]\text{ using the product rooooole}$

$\frac{d}{dx}\,e^{3x(\cos x-3\sin x)}=-3[(x+3)\sin x+(3x-1)\cos x]e^{3x(\cos x-3\sin x)}$

jamesfirst

Active Member

#4

If the question was e^3x times (cosx-3sinx)

would

dy/dx = -10e^3x (sinx)

D

Drongoski

Well-Known Member

#5

jamesfirst said:
If the question was e^3x times (cosx-3sinx)

would

dy/dx = -10e^3x (sinx)

Correct. You are becoming good.

Last edited: Apr 4, 2011

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