A Business Calculus General Formulas Cheat Sheet is a concise document that includes commonly used formulas and equations in business calculus courses. It is designed to help students quickly access and apply these formulas to solve problems and perform calculations in the field of business and economics.
Q: What is a derivative?
A: The derivative measures the rate at which a function is changing at a given point.
Q: What is the chain rule?
A: The chain rule is a formula for computing the derivative of a composition of two or more functions.
Q: What is the product rule?
A: The product rule is a formula for computing the derivative of the product of two functions.
Q: What is the quotient rule?
A: The quotient rule is a formula for computing the derivative of the quotient of two functions.
Q: What is the power rule?
A: The power rule is a formula for computing the derivative of a function raised to a constant power.
Q: What is the integral?
A: The integral represents the area under a curve or the accumulation of a quantity.
Q: What is the fundamental theorem of calculus?
A: The fundamental theorem of calculus states that differentiation and integration are inverse operations.
Q: What is the definite integral?
A: The definite integral calculates the exact area under a curve between two specific points.
Q: What is the indefinite integral?
A: The indefinite integral represents the antiderivative of a function.
Q: What is the mean value theorem?
A: The mean value theorem states that a function must have a point where its instantaneous rate of change is equal to its average rate of change over an interval.