Question

(09). Nilai maksimum kurva : f(x) = adalah…..




A. 0


B. ½


C. 1


D. 2


E. -2

Answer 1

F(x) = ⁵log (x + 9)(1 - x)

misal: P(x) = (x + 9)(1 - x)
= x - x² + 9 - 9x
= -x² - 8x +9
maksimum saat P'(x) = 0
-2x - 8 = 0
x = -4

maka f(-4) = ⁵log (5)(5)
= ⁵log 5²
= 2