Answer:
Possible derivation:
d/dx(a x + a y(x) + x a + y(x) a)
Rewrite the expression: a x + a y(x) + x a + y(x) a = 2 a x + 2 a y(x):
= d/dx(2 a x + 2 a y(x))
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + 2 a (d/dx(y(x)))
The derivative of x is 1:
= 2 a (d/dx(y(x))) + 1 2 a
Using the chain rule, d/dx(y(x)) = (dy(u))/(du) (du)/(dx), where u = x and d/(du)(y(u)) = y'(u):
= 2 a + d/dx(x) y'(x) 2 a
The derivative of x is 1:
= 2 a + 1 2 a y'(x)
Simplify the expression:
= 2 a + 2 a y'(x)
Simplify the expression:
Answer: = 2 a
Step-by-step explanation:
Answer:
A= (0,0) and B = (6,3)
We can find the length AB with the following formula:

And replacing we got:

So then the length AB would be 
Step-by-step explanation:
For this case we have the following two points:
A= (0,0) and B = (6,3)
We can find the length AB with the following formula:

And replacing we got:

So then the length AB would be 
Answer:
a
Step-by-step explanation:
She made her mistake at the first step. To simplify a radical, you would find two numbers that multiply by each other to get your original number (under the radical)
and have one of the number be a perfect square.
Her reasoning is wrong because 10*10 is not

. Had she been correct, her answer should have been able to be squared to equal

In other words, she should have done

(We used 25 because 25 is a perfect square, 5*5=25).
:)