https://file.aiquickdraw.com/mathbot/file/17255047662754n2uy54m.jpg

The given function is:

\[
f(x) = -6x^2 + 42x
\]

Would you like to differentiate, find the critical points, or do another analysis of this function?

Here are some possible directions:
1. What is the derivative of \( f(x) \)?
2. What are the critical points of this function?
3. What is the maximum or minimum value of \( f(x) \)?
4. Can you sketch the graph of this function?
5. How would you determine the concavity of \( f(x) \)?

Tip: Differentiating a quadratic function helps find turning points and analyze its behavior!

This page explores the quadratic function f(x) = -6x^2 + 42x through differentiation and critical points analysis. Learn how to find turning points, concavity, and sketch the graph. Suitable for Grades 10-12.

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