1. By the chain rule,
I'm going to switch up the notation to save space, so for example, 
is shorthand for 
.
We have
Similarly,
where
To capture all the partial derivatives of 
, compute its gradient:
2. The problem is asking for and 
. But 
is already a function of 
, so the chain rule isn't needed here. I suspect it's supposed to say "find 
and 
" instead.
If that's the case, then
as the hint suggests. We have
Putting everything together, we get
Answer:
x= 62
y= 54
Step-by-step explanation:
Step one:
given data
let the numbers be x and y and the larger be x the smaller be y
The difference between two numbers is 8
x-y= 8-----------1
If the larger is subtracted from three times the smaller, the difference is 100
3y-x=100------------2
from eqn 1, x= 8+y
put this in eqn 2
3y-(8+y)=100
3y-8-y=100
collect liker terms
3y-y-8=100
2y=108
y= 54
put y= 54 in eqn 1
x-y=8
x-54= 8
x= 8+54
x=62
Answer:
6
Step-by-step explanation:
2(5k+1)
2x5x2+1 =21
K=2 | 21
2x5x3+1 =31
K=3 | 31
<span>x2 – 4x – 12 A) (x – 6)(x + 2)
x2 + 4x – 12 B) Prime
x2 – x – 12 C) (x – 4)(x + 3)
x2 – 7x – 12 D) (x – 2)(x + 6) i think this is the awnser:)</span>
