I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.
Answer:The larger is 28, the smaller is 9.
Step-by-step explanation:
n = the smaller
3n + 1 = the larger
n + (3n + 1) = 37
4n + 1 = 37
4n = 36
n = 9
3n + 1 = 3(9) + 1 = 28
The larger is 28, the smaller is 9.
mark brainliest please
Answer:
Perimeter of A'B'C'D' = 9 units
Step-by-step explanation:
Given:
Perimeter of ABCD = 27 units
Scale factor = 1 / 3
Find:
Perimeter of A'B'C'D'
Computation:
Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]
Perimeter of A'B'C'D' = 1/3[27]
Perimeter of A'B'C'D' = 9 units
its simply just 102.
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