Math Problem Statement

If f(x)=4sinx3+cosxf(x)=4sinx3+cosx, then f'(x)f′(x) =   

f'(3)f′(3) = 

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Chain Rule

Formulas

Derivative of sin(x): d/dx[sin(x)] = cos(x)
Derivative of cos(x): d/dx[cos(x)] = -sin(x)
Chain Rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)

Theorems

Chain Rule
Basic Differentiation Rules

Suitable Grade Level

Grades 11-12 or Introductory Calculus

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