y = -14sin(8x)2cos(5x) - 4sin(5x)cos(8x)
u = -14sin(8x)
u' = -112cos(8x)
v = 2cos(5x)
v' = -10sin(5x)
u2 = -4sin(5x)
u'2 = -20cos(5x)
v2 = cos(8x)
v'2 = -8sin(8x)
y' = (uv') + (vu') + (u2v'2) + (v2u'2)
y' = [(-14sin(8x))(-10sin(5x)] - [(112cos(8x)(2cos(5x)] - [4sin(5x))(-8sin(8x)] - [20cos(5x))(cos(8x)]
Is all of this correct? If not, please tell me where I have made a mistake.
Thank you.
1 answer
Yes, but you still need to simplify the terms.
0 answers