Asked by Sarah
A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x).
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Answered by
Writeacher
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Answered by
bobpursley
Steve yesterday at 5:55pm
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
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
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