jesseling111 jesseling111

18-10-2021
Mathematics

contestada

(1 point) Find f'(1) if 6x (f(x))^4 +9x^3 f(x) = 78 and f(1) = -2

1 point Find f1 if 6x fx4 9x3 fx 78 and f1 2 class=

Respuesta :

hmurciaf hmurciaf

18-10-2021

Answer:

42

Step-by-step explanation:

[tex]6x (f(x))^{4}+9 x^{3} f(x)=78\\6x (f(1))^{4}+9 x^{3} f(1)=78\\6x(-2)^{4}+9 x^{3} (-2)=78\\f(x) = 6x(16)-18 x^{3}=78\\f'(x)=96-54x\\for x=1: f'(1)=96-54(1)=42[/tex]

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