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Find dy/dt?

 
Find dy/dt, given that y=x^2+4x and x=cos(3t).

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Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
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dy/dt
=(dy/dx)(dx/dt)
= (2x+4)(-sin(3t))(3)
= -6(cos(3t)+2)(sin(3t))
 
or
y = cos^2(3t)+4cos(3t)
dy/dt
= 2cos(3t)(-sin(3t)(3) - 12sin(3t)
= -6(cos(3t)+2)(sin(3t))