Math Problem Statement
Find the derivative of f(x)=9x^2 _x^3
Solution
It seems like there is a typo in the function you've provided. I assume you meant to write . I'll proceed with finding the derivative of this function.
The function is:
To find the derivative , we differentiate each term of the function with respect to :
- The derivative of is .
- The derivative of is .
So, the derivative of the function is:
Would you like any details or have any questions?
Here are 5 related questions for further practice:
- What is the derivative of ?
- Find the second derivative of .
- Calculate the derivative of .
- What is the slope of the tangent line to the curve at ?
- Find the critical points of .
Tip: Always check your function for typos or errors before differentiating, as a small mistake can change the entire solution!
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Polynomials
Formulas
Power rule: d/dx [x^n] = n * x^(n-1)
Theorems
Basic Differentiation Rules
Suitable Grade Level
Grades 10-12