Math Problem Statement
g(x) = x3 − x h(x) = (x3 − x)4 f(x) = 7(x3 − x)4
Solution
We have three functions defined as follows:
Would you like to find derivatives, solve these functions for particular values of , or explore any specific properties of these functions (such as critical points, maximums, minimums, etc.)?
Here are some potential next steps:
- Would you like to differentiate , , or ?
- Would you like to expand or for simpler forms?
- Are you interested in solving , , or ?
- Do you need to evaluate these functions for specific values of ?
- Should we analyze the graph or behavior of these functions?
Tip:
Always simplify a function before differentiating or integrating, as it makes the process more manageable!
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Functions
Function Composition
Exponentiation
Formulas
g(x) = x^3 − x
h(x) = (x^3 − x)^4
f(x) = 7(x^3 − x)^4
Theorems
Power Rule for Derivatives
Chain Rule for Derivatives
Suitable Grade Level
Grades 10-12
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