A function has f’’(x) = 10 and has f’(4) = 0 and f(2) = 4. Find f(x)
3 answers
f'= 10 at what x?
If f" = 10 for all x, then
f' = 10x+c
10*4+c = 0 so c = -40 and f' = 10x-40
f = 5x^2-40x+c
5*2^2-40*2+c = 4 so c=64 and f(x) = 5x^2-40x+64
f' = 10x+c
10*4+c = 0 so c = -40 and f' = 10x-40
f = 5x^2-40x+c
5*2^2-40*2+c = 4 so c=64 and f(x) = 5x^2-40x+64
ok, my eyes fail me, I can't see " vs '.
1 answer