Answer:
A. G'(5) = 20
B. G'(5) = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Rule [Product Rule]:
Derivative Rule [Quotient Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
[Given] F(5) = 4, F'(5) = 4, H(5) = 2, H'(5) = 3
[Given] A. G(z) = F(z) · H(z)
[Given] B. G(w) = F(w) / H(w)
[Find] G'(5)
<u>Step 2: Differentiate</u>
A. G(z) = F(z) · H(z)
- [Derivative] Product Rule: G'(z) = F'(z)H(z) + F(z)H'(z)
B. G(w) = F(w) / H(w)
- [Derivative] Quotient Rule: G'(w) = [F'(w)H(w) - F(w)H'(w)] / H²(w)
<u>Step 3: Evaluate</u>
A. G'(5)
- Substitute in <em>x </em>[Function]: G'(5) = F'(5)H(5) + F(5)H'(5)
- Substitute in function values: G'(5) = 4(2) + 4(3)
- Multiply: G'(5) = 8 + 12
- Add: G'(5) = 20
B. G'(5)
- Substitute in <em>x</em> [Function]: G'(5) = [F'(5)H(5) - F(5)H'(5)] / H²(5)
- Substitute in function values: G'(5) = [4(2) - 4(3)] / 2²
- Exponents: G'(5) = [4(2) - 4(3)] / 4
- [Brackets] Multiply: G'(5) = [8 - 12] / 4
- [Brackets] Subtract: G'(5) = -4 / 4
- Divide: G'(5) = -1
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
I think that she could buy 3 tubes of paint because that's $25.50 and that gives you 28.50 for the canvas.
Answer:
a^2
b^3
c^2
Step-by-step explanation:
I took the quiz it was right
Hi, it will be really easy if you start out by plotting a tree diagram and tracing out the probabilities. Then you simply have to multiply the probabilities of placebo and improvement.
-----80% Medication -----76% improvement
-----24% no improvement
|
------20%Placebo --------62% no improvement
-----------38% improvement
Solving for P(placebo and improvement) = .20 x .38 = 0.076 = 7.6%