SOLUTION: Find f ’’(x) if f(x) = 9 x^3 - 1 x^4 + 9 and evaluate f ’’(1). (Keep 2 decimal places)

Algebra ->  Functions -> SOLUTION: Find f ’’(x) if f(x) = 9 x^3 - 1 x^4 + 9 and evaluate f ’’(1). (Keep 2 decimal places)       Log On


   

Question 1016418: Find f ’’(x) if
f(x) = 9 x^3 - 1 x^4 + 9
and evaluate f ’’(1). (Keep 2 decimal places)
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
For
f(x) = 9x^3 - x^4 + 9
we have
f'(x) = 27x^2 - 4x^3
f''(x) = 54x - 12x^2
f''(1) = 54 - 12 = 42