So, this math problem has be solve for the first, second, and third derivatives of an equation and then asks me to "guess a formula for d''y/dx''" I get derivatives, but I don't get what the question is asking. Wouldn't the formula just be what I found for y''? Help, please!
Here's the given equation and the three derivatives I found, if that helps any: y=1/(1-x);
y'=1/(1-x)^2
y''=2/(1-x)^3
y'''=6/(1-x)^4

Question

anonymous · Answer

you want a hint?  denominator is pretty clear, question is, what is the numerator. 
derivative     numerator 
   1                     1
   2                     2
   3                     6
   4                     24
   5                     120

if the right hand is not familiar, think of where the numbers come form 
6 comes from $3\times 2$
24 comes from $4\times 6$ i.e. $4\times 3\times 2$ etc

eyust707 · Answer

$$1 = 1 $$
$$1*2 = 2$$
$$1*2*3 = 6$$
$$1 * 2 * 3 * 4 = 24$$
$$1 * 2 * 3 * 4 * 5 = 120$$

anonymous · Answer

if i read the question correctly you are supposed to recognize the numerators as a factorial

katy · Answer

So I see the relationship now, but how is that going to become formula different from I already found for y''?

katy · Answer

Theses answers really aren't helping me yet.