Match the following concepts with their correct descriptions in Differential Calculus:

Concept Description

1) Rolle's Theorem A) A theorem used to find critical points of a function over a given interval.

2) Mean Value Theorem B) States that if a function is continuous on [a, b] and differentiable on (a, b), then there exists at least one c in (a, b) such that the derivative at c is equal to the average rate of change over [a, b].

3) L'Hopital's Rule C) A method to find limits of indeterminate forms like 0/0 or ∞/∞.

4) Taylor Series D) A polynomial approximation of a function based on derivatives at a point.

Question

1) Rolle's Theorem	A) A theorem used to find critical points of a function over a given interval.
2) Mean Value Theorem	B) States that if a function is continuous on [a, b] and differentiable on (a, b), then there exists at least one c in (a, b) such that the derivative at c is equal to the average rate of change over [a, b].
3) L'Hopital's Rule	C) A method to find limits of indeterminate forms like 0/0 or ∞/∞.
4) Taylor Series	D) A polynomial approximation of a function based on derivatives at a point.