Value of the derivative of g(x)=8-10Cosx at 'x=0' is?

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

DerivativesDerivative NotationThe derivative of a constant is equal to 0Derivative Property: Trig Derivative:

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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