Page 53 - Math Grade 12 (Basic)

PROEUS DARA
= xsinx '1

2
2. = cos x + xsinx
= -J xu 1 + = u' + v' = u'v+v'u

= 2cosx( cosx)' +

= -2cosxsinx + (si1u +

= -sin2x + sinx + xcosx

= sin2x + sinx + xcosx '1

n. =- 3 x + sm x 1) 2. = 3x + 1) '1
4
. (2 3
.
.

n. +sin 1)

( .
= l , sm = u' cos
3 3 3
= l2x + (2x - l )' cos(2x l)

= + 6icos(2i- )

3
= - 12i + 6icos(2x - I) '1
2
2. = x cos(3x + 1)

= u'v+v'u , (cosu)' = -u'sinu
2
&~lfl2 f'(x) = (i)'cos(3x+ 1)+x [cos(3x+ I)]'

= 2xcos(3x+ 1)+ x + l)]
2
= 2xcos(3x+ l)-3x sin(3x+ ) '1

"'
"" "
: ~M 2lti::lH~ !:2~H~~'I:§22ll:H1j11'1:§
n. = i cosx + 2sinx
4
2. =cos(5x 3)+xsin2x'1