Latihan Matematika Peminatan Kelas XII Turunan Fungsi Trigonometri
# 3
Pilgan

Diketahui ekspresi implisit tan⁡(x−y)=2x+3y2\tan(x-y)=2x+3y^2. Turunan pertama dari ekspresi implisit tersebut terhadap xx adalah ....

A

sec⁡2(x−y)−26y+sec⁡2(x−y)\frac{\sec^2(x-y)-2}{6y+\sec^2(x-y)}

B

sec⁡2(x−y)−26y−sec⁡2(x−y)\frac{\sec^2(x-y)-2}{6y-\sec^2(x-y)}

C

sec⁡2(x−y)+26y−sec⁡2(x−y)\frac{\sec^2(x-y)+2}{6y-\sec^2(x-y)}

D

sec⁡2(x−y)6y+sec⁡2(x−y)\frac{\sec^2(x-y)}{6y+\sec^2(x-y)}

E

sec⁡2(x−y)6y−sec⁡2(x−y)\frac{\sec^2(x-y)}{6y-\sec^2(x-y)}

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