Answer:
Dy/Dx=x
(
2
ln
(
x
)
−
1
)/
ln
^2
(
x)
Step-by-step explanation:
We have this function and let's derive it in terms of x.
y =x^2/In x
Dy/Dx=(x^2/In x)'=2/lnx *(x^2)'-(x^2/In x)'=> 2
x
*ln
(
x
)
−
x
*ln
^2
(
x
)
=x
(
2
ln
(
x
)
−
1
)/
ln
^2
(
x)
Answer: 36
Step-by-step explanation:
Multiply -6 by itself six times, then divide 1 by -6 four times. Multiply the products. Then multiply -6 by itself one more time and you will get 36.
The top question is 1/4. There seems to be a small multiplaction symbol next to the fractions, I'm ignoring that. To get 1/4, I multiplied 2 by itself six times because of the exponent, to get 64. I did the same with the bottom, and recieved 256. 64/256 is 1/4.
For functions, there is only many input values, but there can be only one output value, and there can be no identical x values. For this, x=3.2. If y= 2*3.2 - 1, then y=5.4.
