Question

Determine the function f(x) satisfying the given conditions

f"(x)=16
f'(0)=7
f(0)=4

f(x) =__x^2+__x+___??

Answer 1

they want me to fill in the blanks

Answer 2

Anti derivatives

Answer 3

how do i even start?

Answer 4

let f(x) =ax^2 + bx +c
f(0) = c =4

Answer 5

f'(x) = 2ax + b
f'(0) = b = 7

Answer 6

f''(x) = 2a = 16

a= 8

Answer 7

not anti derivatives, but derivatives

Answer 8

call the unknown coefficients a,b,c

and differentiate

Answer 9

lol my prof. is misleading us

Answer 10

well, the anti derivative of f''(x) is f(x)

but we're differentiating here

Answer 11

thanx