Math Problem Statement
fx of (2x+1)^3
Solution
To find the derivative of the function , we'll apply the chain rule. Here's the process:
Steps:
- Let , so .
- The derivative of with respect to is .
- The derivative of with respect to is 2.
Applying the Chain Rule:
Substituting back:
Final Answer:
Would you like me to provide a step-by-step explanation or solve similar examples? Here are 5 related questions for further exploration:
- What is the derivative of ?
- How do you apply the chain rule to ?
- Can you compute for ?
- What is the second derivative of ?
- How do you expand and differentiate directly?
Tip: Always simplify the inner and outer derivatives separately when using the chain rule for complex functions.
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Math Problem Analysis
Mathematical Concepts
Differentiation
Chain Rule
Formulas
Derivative of a composite function: f'(x) = g'(h(x)) * h'(x)
Theorems
Chain Rule of Differentiation
Suitable Grade Level
Grades 11-12