dndxn(e2x+e-2x)=
(e2x+(-1)ne-2x)
2n(e2x+e-2x)
2n(e2x+(-1)ne-2x)
None of these
Explanation for the correct options:
Let y=(e2x+e-2x)
Differentiate w.r.t. x
dydx=2e2x–2e-2x
Again differentiate w.r.t. x
d2ydx2=4e2x+4e-2x
=22e2x+(-2)2e-2x
Similarly, dnydxn=2n(e2x+(-1)ne-2x)
Hence Option(C) is correct.