Turunan pertama dari f(x) = √(x^2+ 1)

Posted by andi telaumbanua on Feb 11, 2018 in Matematika |
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Tentukan f(x)^’ dari f(x) = √(x^2+ 1) !

Jawab :

Gunakan aturan rantai

Misalkan: z = x^2+ 1 → dz/dx=2x

Maka : y = √(z ) → dy/dz= 1/(2√(z ))= 1/(2√(x^2+ 1 ))

Maka : f(x)^’= dy/dx=( dy/dz)( dz/dx)=(1/(2√(x^2+ 1 )))(2x) = x/√(x^2+ 1 )

for more detailed writing click on the following link Tentukan f(x)^’ dari f(x) = √(x^2+ 1)

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