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2 answers:
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Answer:
Step-by-step explanation:
The trigonometric functions have some features like amplitude, period, phase shift, and vertical shift.
Retrieving the original cosecant graph and copying and attaching it below we have this function:
1) Period
Since the period of a basic secant and basic sine function
2) Vertical Shift
This value affects the graph by displacing it from x-axis.
The Vertical Shift does not need calculation for it is given by the parameter "d"
Answer:
(B) 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
h(x) = f(g(x))
h'(1) = ?
<u>Step 2: Differentiate</u>
- Chain Rule: h'(x) = f'(g(x)) · g'(x)
<u>Step 3: Evaluate</u>
- Substitute in <em>x</em> [Derivative]: h'(1) = f'(g(1)) · g'(1)
- [Values] Substitute in function values: h'(1) = f'(3) · -3
- [Values] Substitute in derivative function values: h'(1) = -5 · -3
- Multiply: h'(1) = 15
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e