Question

The following limit is the derivative of a composite function g at some point xa.

A. Mean Value Theorem
B. Chain Rule
C. Fundamental Theorem of Calculus
D. L'Hôpital's Rule

Answer 1

The correct answer is B. Chain Rule. The Chain Rule is a rule in calculus that allows us to find the derivative of a composite function.

Step-by-step explanation:

The correct answer is B. Chain Rule.

The Chain Rule is a rule in calculus that allows us to find the derivative of a composite function. In the given question, the limit represents the derivative of a composite function g at some point xa. The Chain Rule states that if we have a composite function f(g(x)), then the derivative of this function is given by the derivative of the outer function multiplied by the derivative of the inner function.

For example, if we have the function f(g(x)) = sin(x^2), the derivative of this function is given by the derivative of sin(x^2) multiplied by the derivative of x^2. This rule is essential in calculating derivatives of more complex functions.