Thank you for the opportunity to help you with your question!
Use the chain rule:
I am quite unsure with the chain rule. Firstly, how do you know identify which part to "split". In this case, you split cos(3x+1) into cos(3x+1) and (3x+1). Also, why is 5 negative?
first note that the derivative of cosx = -sinx, do you agree?
Then, the derivative of cos(anything) = -sin(anything) does that make sense?
But, additionally, according to the chain rule, you must also differentiate the variable of the function which in this case is 3x+1
the derivative of 3x+1 = 3 do you agree?
Then, according to the chain rule, that part is multiplied with the original derivative:
So, the derivative of 5cos(3x+1) = 5*(-sin(3x+1))*(3)
hope that clears it up
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