- #1
basenne
- 20
- 0
1. Find the value of (f o g)^1 at the given value of x.
f(u) = 1-(1/u)
u = g(x) = 1/(1-x)
x = -1
2. Chain rule...
3. Okay, so the derivitive of 1-(1/(1/(1-x))) is 1. Also, the derivitive of 1/(1-x) = 1/(x-1)^2. So, in theory, shouldn't the answer be 1/4? I've solved this in many different ways and I keep getting 1/4 as my answer. However, our answer key says that the answer is 1. Any help would be appreciated.
f(u) = 1-(1/u)
u = g(x) = 1/(1-x)
x = -1
2. Chain rule...
3. Okay, so the derivitive of 1-(1/(1/(1-x))) is 1. Also, the derivitive of 1/(1-x) = 1/(x-1)^2. So, in theory, shouldn't the answer be 1/4? I've solved this in many different ways and I keep getting 1/4 as my answer. However, our answer key says that the answer is 1. Any help would be appreciated.