Thread: Finding 1000th derivative

f(x)=(x^2+1)(e^(x^2+1))
find the 1000th derivative

I was thinking of using taylor's on it but I'm really not sure where to start. Thanks in advance for anyone who helps.

Originally Posted by Scottfranklin

f(x)=(x^2+1)(e^(x^2+1))
find the 1000th derivative

I was thinking of using taylor's on it but I'm really not sure where to start. Thanks in advance for anyone who helps.

Start taking derivatives, then find an expression that represents the nth derivative, then plug a 1000 into it.

So should I treat the expression as (x^2+1)=r and therefore F(x)=re^r?