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Answer:
Pattern is you add odd numbers, as in 1, 3, 5, 7, 9, etc.
Step-by-step explanation:
11 + 3 = 14
14 + 5 = 19
19 + 7 = 26
26 + 9 = 35
hope this helps
1 whole pizza is equal to 8/8. If Louis eats 6/8 then there should be 2/8 left, if your teacher wants it simplified then you will divide both the numerator and the denominator by 2 giving you a fraction of 1/4.
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.
