x^3+y^3=1

Posted by andi telaumbanua on Feb 11, 2018 in Matematika |

Carilah y^’ dari fungsi x^3+y^3=1 !

Jawab :

Gunakan metode turunan implisit

(d (x^3+y^3 ))/dx = (d( 1))/dx

(d( x^3))/dx+ (d( y^3))/dx = (d( 1))/dx

(d( x^3))/dx+ (d( y^3 )/dy)(dy/dx) = (d( 1))/dx

3x^2 + (3y^2) ( dy/dx) =0

dy/dx= (-3x^2)/(3y^2 )

dy/dx= – x^2/y^2

for more detailed writing click on the following link Carilah y^’ dari fungsi x^3+y^3=1 !

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