Final answer:
Calculus function analysis typically includes the derivative at a specified point and the analysis of critical points on the graph of a function. While integration by parts and trigonometric substitution are part of calculus, they are not the primary focus of function analysis using calculators.
Step-by-step explanation:
The subject of this question is calculus, which involves analyzing functions in various ways. Understanding how calculus works requires knowledge of a range of concepts and techniques. In particular, the function analysis calculus calculator involves:
Derivative at a point - This calculates the slope of the tangent line to the function's graph at a given point. This provides the rate of change of the function at that specific point.
Critical points analysis - This involves finding points where the derivative is zero or undefined, which can indicate local maxima, minima, or saddle points on the graph of a function.
Integration by parts and Trigonometric substitution - While these are important techniques in calculus, they are not typically the primary features provided by a function analysis calculator. Instead, they are methods used for finding integrals. In the context of function analysis, integral calculators would typically calculate the area under a curve, which can represent things like distance traveled,
The relevant factors in calculus problem-solving often involve understanding changes and rates of changes, which can have practical applications in fields like engineering where dimensions and units are critical.