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Trouble with differentiating

Calculus
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I am having trouble differentiating without using the chain rule and I am looking for a quick explanation. Differentiate y=3sinx - 4cosx 

Jan 29th, 2015

you shouldn't be using chain rule in this case.
Chain rule should be used when one variable is into another, had it been like,

y= 3 sin ( cos 4x)
in this case you use chain rule.


for the given, equation,

y= 3 sin x - 4 cos x
dy/dx = 3 d/dx ( sin x) - 4 d/dx ( cos x) = 3 cos x - 4(-sin x) = 3cos x + 4 sinx

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Jan 29th, 2015

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