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anonymous
 one year ago
Greetings!
Derrivate of sin(2x+pi)
Help is much appreciated ! :)
anonymous
 one year ago
Greetings! Derrivate of sin(2x+pi) Help is much appreciated ! :)

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Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0the general format for a sin derivative is d(sinx)/dx = cos(x) * d(x)/d(x) so d(sin(2x+pi)/dx = cos(2x+pi)*d(2x+pi) = cos(2x+pi)*2

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0here's an easier way to remember/explain it to find the derivative of sin(a), change the sin to cos, keep the a, then multiply by the derivative of a

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait. think about it... what happens to the graph of sine when you add π

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sin(2x+π) = \sin(2x)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ofc that first equation makes sense, however ur last one, I get but its hard to come to that conclusion, I understand pi jumps 180degrees making it negative, but its not obvious.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0therefore we have: \[\large (\frac{d}{dx}(\sin(2x)))\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right, like so: \[\frac{d}{dx}(\sin(2x))=\frac{dsin(u)}{du}\frac{du}{dx}\] Im going to let \[u=2x\] can you solve now?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cos(u)*2 Then u=2x so gives Cos2x*2. U forgot the pi tho, what happened to it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0as i said before, the π disappears when i rewrite the entire thing as sin(2x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and make sure you add the negative from before. The final answer is: \[\huge 2\cos(2x)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ah okey, I will remember that, so my first step should always be to get rid of pi? then move on the the chain rule and so forth:) Alright, thank you :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no prob. Medal please!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Haha there ya go, Always fun to learn when things go this smoothly, u explain well:) Cheers!
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