Matematika

Pertanyaan

Diketahui f(x)=2/3x^3-3x^2+1
A. Cari turunan dari f(x)
B. Hitung :(i) f'(-1)
(ii) f'(0)
(iii) f'(1)
(Iv) f'(2)
Mohon dibantu

1 Jawaban

  • f(x)=2/3x^3-3x^2+1
    f'(x) = 2x^2 - 6x

    f'(-1) = 2(-1)^2 - 6(-1)
    = 2(1) - (-6)
    = 2 + 6
    = 8

    f'(0) = 2(0)^2 - 6(0)
    = 2(0) - 0
    = 0 - 0
    = 0

    f'(1) = 2(1)^2 - 6(1)
    = 2 (1) - 6
    = 2 - 6
    = -4

    f'(2) = 2(2)^2 - 6(2)
    = 2(4) - 12
    = 8 - 12
    = -4

Pertanyaan Lainnya