Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

later!

Answer 5

okay I'll try that thank you!

Answer 6

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