Answer:
Step-by-step explanation:
This means a graph with a slope of -1, and a y-intercept of -3
Answer:
First one: 114
Second one: 64
Step-by-step explanation:
For the first one, you can break apart the shapes to a square and a rectangle
The square is 7 x 7 (12 - 5 = 7)
The rectangle is 13 x 5
The square is 49
The rectangle is 65
Add them together
The first one is 114
For the second one you can break it apart to a triangle and a rectangle
The rectangle is 4 x 12
The triangle is 0.5 * 8 * 4 [8 is 12 - 4 (base)]
The rectangle is 48
The triangle is 16
Add them together
48 + 16 = 64
The second one is 64
The answer for each of the differentiation are; f'(-6) = 432; f⁻¹(y) = ∛((y + 5)/4); df⁻¹/dy = 1/432
<h3>How to differentiate functions?</h3>
1) f(x) = 4x³ - 5
We will differentiate it to get;
f'(x) = df/dx = 12x²
f'(-6) = 12(-6)²
f'(-6) = 432
2) We are given the formula;
x = f⁻¹(y)
Thus;
y = 4x³ - 5
4x³ = y + 5
x³ = (y + 5)/4
x = ∛((y + 5)/4)
f⁻¹(y) = ∛((y + 5)/4)
c) f⁻¹(y) = ∛((y + 5)/4)
df⁻¹/dy = -1/12y²
At f(-6), we have;
df⁻¹/dy = 1/432
Read more about Differentiation at; brainly.com/question/5313449
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answer: (3,2)
step by step explanation: :)
