Answer:
Step-by-step explanation:
Given the function
y = (9x⁴ — 4x² + 6)⁴
We need to find the derivative of y with respect to x i.e. dy/dx.
So let u = 9x⁴—4x² + 6
Then y = u²,
Then, y is a function of u, y=f(u)
Also, u is a function of x, u = g(x)
In this case,
u = g(x) = 9x⁴—4x² + 6
So let differentiate this function y(x).
This is a function of a function
Then, we need to find u'(x)
u (x) = 9x⁴—4x² + 6
Then, u'(x) = 36x³ — 8x
Also we need to find y'(u)
Then, y = u²
y'(u) = 2u
Using function of a function formula
dy / dx = dy/du × du/dx
y'(x) = y'(u) × u'(x)
y'(x) = 2u × 36x³ — 8x
y'(x) = 2u(36x³ — 8x)
Since, u = 9x⁴—4x² + 6
Therefore,
y'(t) = 2(9x⁴—4x² + 6)(36x³ — 8x)
So,
dy/dx = 2(9x⁴—4x² + 6)(36x³ — 8x)
dy/dx = (18x⁴—8x² + 12)(36x³ — 8x)
A. 4 cups pineapple juice+8 cups orange juice+12 cups seltzer=24 cups total
108/24=4.5, so you need 4.5*(recipe)=
18 cups pineapple juice, 36 cups orange juice, and 54 cups seltzer
B. each recipe makes 18 servings, so 4.5*(recipe) =4.5*18= 81 servings
C. 8 cups orange juice/12 cups seltzer=2 cups orange juice/3 cups seltzer=2/3 cups orange juice/1 cup seltzer
Answer:
A
Step-by-step explanation:
If each balloon holds 2 oz of water, you can multiply 19 by 2 to find out how many ounces you'll need. 19*2 is equal to 38, but rounding up is 40.
I can't answer your question without a picture... Sorry.