SOLUTION: differentiate the following mathematical expression with respect to x (i.e find dy/dx) {{{y= 12sin3x-5cos6x}}}

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Question 255614: differentiate the following mathematical expression with respect to x (i.e find dy/dx)
y=+12sin3x-5cos6x

Found 2 solutions by drk, stanbon:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We have the chain rule:
y=+12sin3x-5cos6x
apply the chain rule as
dy/dx = 12*d(sinx)*d(3x) -5d(cos)*d(6x)
which becomes
dy+=+-36cos%283x%29+-+30sin%286x%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
differentiate the following mathematical expression with respect to x (i.e find dy/dx)
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y= 12sin3x-5cos6x
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y' = 12(cos(3x))*3 -5*(-sin(6x)*6
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y' = 36cos(3x)+30sin(6x)
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Cheers,
Stan H.