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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

Rizags
 one year ago
Best ResponseYou've already chosen the best response.1wait. think about it... what happens to the graph of sine when you add π

Rizags
 one year ago
Best ResponseYou've already chosen the best response.1\[\sin(2x+π) = \sin(2x)\]

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.

Rizags
 one year ago
Best ResponseYou've already chosen the best response.1therefore we have: \[\large (\frac{d}{dx}(\sin(2x)))\]

Rizags
 one year ago
Best ResponseYou've already chosen the best response.1right, 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?

Rizags
 one year ago
Best ResponseYou've already chosen the best response.1as i said before, the π disappears when i rewrite the entire thing as sin(2x)

Rizags
 one year ago
Best ResponseYou've already chosen the best response.1and 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.0Haha there ya go, Always fun to learn when things go this smoothly, u explain well:) Cheers!
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