Diketahui f(x) = x2 – 5x + 3 dan g(x) = 3x + 4. Jika h(x) = f(x) + 3g(x), nilai h'(-5) =
Diketahui f(x) = x2 – 5x + 3 dan g(x) = 3x + 4. Jika h(x) = f(x) + 3g(x), nilai h'(-5) = ….
Pembahasan:
f(x) = x2 – 5x + 3 dan g(x) = 3x + 4
h(x) = f(x) + 3g(x)
= x2 – 5x + 3 + 3(3x + 4)
h(x) = x2 + 4x + 15
h’(x) = 2x + 4
h’(-5) = 2(-5) + 4 = -6
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