The conversation between human and AI assistant.
What is the Taylor Polynomial of [math]\ln(3x^2)[/math] centered at [math]c[/math] of degree [math]3[/math]?
That sounds complicated. Can you explain how the Taylor Polynomial is derived?
The Taylor Polynomial is a way to approximate a function using its derivatives at a single point. In this case, we take the derivatives of ln(3x^2) and evaluate them at c. Then we use those values to construct a polynomial approximation of the original function.