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Sagot :
Answer:
g'(0) = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Algebra I
- Function Notation
Pre-Calculus
- Unit Circle
Calculus
- Derivatives
- Derivative Notation
- The derivative of a constant is equal to 0
- Derivative Property: [tex]\frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
- Trig Derivative: [tex]\frac{d}{dx} [cos(x)] = -sin(x)[/tex]
Step-by-step explanation:
Step 1: Define
g(x) = 8 - 10cos(x)
x = 0
Step 2: Differentiate
- Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]
- Simplify Derivative: g'(x) = 10sin(x)
Step 3: Evaluate
- Substitute in x: g'(0) = 10sin(0)
- Evaluate Trig: g'(0) = 10(0)
- Multiply: g'(0) = 0
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