MATH SOLVE

4 months ago

Q:
# What is the derivative of f(x)= 2x cubed?

Accepted Solution

A:

Answer:[tex]\displaystyle f'(x) = 6x^2[/tex]General Formulas and Concepts:CalculusDifferentiationDerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]Basic Power Rule:f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:Step 1: DefineIdentify[tex]\displaystyle f(x) = 2x^3[/tex]Step 2: DifferentiateBasic Power Rule [Derivative Rule - Chain Rule]: [tex]\displaystyle f'(x) = 6x^2[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)Unit: Differentiation