Thread: Find value of second derivative when you don't know the first function

1. Find value of second derivative when you don't know the first function

I'm not to sure i understand this.. i think i did it right but am unsure...

If f(2) = 1 and f'(x) = x^2f(x) for all x , find f''(2)

This is what I did:

f''(x) = 2xf(x)
f''(2) = 2(2)(1) = 4

This just seems too easy to be true hah

2. Re: Find value of second derivative when you don't know the first function

Originally Posted by tmas
I'm not to sure i understand this.. i think i did it right but am unsure...
If f(2) = 1 and f'(x) = x^2f(x) for all x , find f''(2)
This is what I did:
f''(x) = 2xf(x) Incorrect
$f'$ is a product.

$f"(x)=2xf(x)+x^2f'(x)$