Question

Persamaan garis singgung kurva y = akar 3 dari (5 + x) di titik dengan absis 3 adalah ...

Answer 1

Y = ∛(5 + x)
y = (5 + x)^(1/3)

y = (5 + 3)^(1/3)
y = (8)^(1/3)
y = 2

titik melalui (3, 2)

y' = (1/3)(5 + x)^(-2/3)
y' = (1/3)(5 + 3)^(-2/3)
y' = (1/3)(1/4)
y' = 1/12

gradien = 1/12

y - b = m(x - a)
y - 2 = (1/12)(x - 3)
12(y - 2) = (x - 3)
12y - 24 = x - 3
12y = x + 21