Differentiate f(x) = 2 sin x - cos 2x?
Why is the solution: f'(x) = 2 cos x + 2 sin 2x?
Where does the 2 in front of sin 2x come from?...
The answer is from the book, by the way.
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OpenStudy (usukidoll):
derivative rules
OpenStudy (usukidoll):
and product rule as well
OpenStudy (anonymous):
it comes from applying the chain rule substitution u=2x to the -cos (2x)
not product rule
OpenStudy (anonymous):
Oh, product rule
OpenStudy (usukidoll):
this is how I do it...leave the first term alone deal with the second + leave the second term alone deal with the first...
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OpenStudy (anonymous):
2 is du/dx
OpenStudy (usukidoll):
the derivative of a number is always a 0
OpenStudy (usukidoll):
like f(x)=3 f'(x) = 0
OpenStudy (anonymous):
chain rule, not product rule
OpenStudy (anonymous):
okay. so letme get this clear..
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OpenStudy (anonymous):
the question is on the -cos(2x)
OpenStudy (anonymous):
f'(x) = - cos 2x = - cos 2x * cos 2?
OpenStudy (anonymous):
oh wiat, it should be - cos 2x * 2
OpenStudy (anonymous):
because u is 2x... and u' is 2(1) = 2??
OpenStudy (anonymous):
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