Tentukanlah turunan pertama dari: log⁡(xy) = 4y

Posted by andi telaumbanua on Jul 29, 2018 in Matematika |
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Tentukanlah turunan pertama dari:
log⁡(xy) = 4y

Jawab:

d/dx(log⁡(xy)) = d/dx(4y

(y + x dy/dx) (1/(xy ln⁡10 ))= 4 dy/dx

y/(xy ln⁡10 )+ (x/(xy ln⁡10 )) dy/dx = 4 dy/dx

dy/dx [x/(xy ln⁡10 ) – 4]= -y/(xy ln⁡10 )

dy/dx=(-y/(xy ln⁡10 ))/(x/(xy ln⁡10 )-4)

dy/dx=(-y/(xy ln⁡10 ))/((x-4xy ln⁡10)/(xy ln⁡10 ))

dy/dx=(-y)/(x – 4 xy ln⁡10 )

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