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

Question 255614: differentiate the following mathematical expression with respect to x (i.e find dy/dx)

Found 2 solutions by drk, stanbon:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We have the chain rule:

apply the chain rule as
dy/dx = 12*d(sinx)*d(3x) -5d(cos)*d(6x)
which becomes

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
differentiate the following mathematical expression with respect to x (i.e find dy/dx)
---------
y= 12sin3x-5cos6x
---
y' = 12(cos(3x))*3 -5*(-sin(6x)*6
-----------------------------------
y' = 36cos(3x)+30sin(6x)
==============================
Cheers,
Stan H.
RELATED QUESTIONS
Hi Guys, stuck on these questions on differentiation. Find dy/dx with respect to x... (answered by Alan3354)
differentiate the following with respect to x (answered by Edwin McCravy)
Differentiate with respect to x : y = e x sinx (answered by ewatrrr)
Morning, Please could somebody possible help with this Right its been a while since (answered by Fombitz)
Evening All, Right its been a while since i have attempted maths, and have just gone... (answered by Alan3354)
Evening All, Right its been a while since i have attempted maths, and have just gone back (answered by user_dude2008,Fombitz)
Differentiate the following with respect to x: f(x) = |x| (answered by MathLover1)
find the dy/dx for the following equation {{{ y=(8/10) e^x - acosx... (answered by Fombitz)
Please differentiate the following. d/dx[y/(x^2 + y^2)] + d/dy[ (-x/(x^2 +... (answered by Fombitz)