Find the 50th derivative of y=cos2x ?Find the 50th derivative of y=cos2x ?@Mathematics

Question

anonymous · Answer

$$y'=-2\sin(2x)$$
$$y''=-4\cos(2x)$$
$$y'''=8\sin(2x)$$
$$y^{(4)}=2^4\cos(2x)$$ should be a good start

myininaya · Answer

$$f^{(1)}(x)=-2\sin(2x)$$
$$f^{(2)}(x)=-4\cos(2x)$$
$$f^{(3)}(x)=8\sin(2x)$$
$$f^{(4)}(x)=16\cos(2x)$$
$$f^{(5)}(x)=-32\sin(2x)$$
its doing this -,-,+,+,-,-,+,+,-,-,...
$$f^{(50)}(x)=2^{50}\cos(2x)$$ <now is this negative or positive?

myininaya · Answer

i will leave you to answer that question i have to go

anonymous · Answer

later!

anonymous · Answer

okay I'll try that thank you!

hero · Answer

|dw:1319424160594:dw|

If you keep going counterclockwise and count to 50 you'll see that the 50th derivative of y = sin(x) is