" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Misalkan u = 3, u' = 0. v = (4 - 2x⁵)⁴, v'' = 4*-10x⁴(4 - 2x⁵)³ = -40x⁴(4-2x⁵)³
y' = u'v + uv'
=> y' = 0 + 3(-40x⁴(4 - 2x⁵)³)
=> y' = -120x⁴(4 - 2x⁵)³
2. y = 2x⁵cos(1 - 3x²)
Misalkan u = 2x⁵, u' = 10x⁴. v = cos(1 - 3x²), v' = -6xsin(1 - 3x²).
y' = u'v + uv'
=> y' = 10x⁴cos(1 - 3x²) - 12x⁶sin(1 - 3x²)
=> y' = 2x⁴(5cos(1 - 3x²) - 6x²sin(1 - 3x²))
3. y = 6e⁴x³ - 1
Jika diturunkan, maka -1 pasti akan menjadi 0, maka sederhanakan saja jadi y = 6e⁴x³.
Misalkan u = 6e⁴, u' = 24e³. v = x³, v' = 3x².
y' = u'v + uv'
=> y' = 24e³x³ + 18x²e⁴
=> y' = 6e²x³(4e + 3e²)