Diketahui:
f(x) = 3x3 + 4x2 + 2
g(x) = x3 + 2x2 + 1
Ditanya:
a) y’ = f’(x) + g’(x)![]()
f(x) = 3x3 + 4x2 + 2
g(x) = x3 + 2x2 + 1
Ditanya:
a) y’ = f’(x) + g’(x)
Jawab:
f(x) = 3x³ + 4x² + 2
[tex]f'(x) = 3 (3) x ^{3-1} + 4 (2)x^{2-1} + 2(0)\\f'(x) =9x^2 + 8x[/tex]
g(x) = x³ + 2x² + 1
[tex]g'(x) = 1(3)x^{3-1} + 2(2)x^{2-1} + 1(0)\\g'(x) = 3x^2 + 4x[/tex]
y' = f'(x) + g'(x)
y' = (9x² + 8x) + (3x² + 4x)
y' = 12x² + 12x
y' = 12x (x + 1)
[answer.2.content]
