Instructions: Answer the following questions about derivatives. Write your answers in complete sentences.
- What is a derivative?
- What is the formula for finding the derivative of a function?
- What is the chain rule in calculus?
- What is the product rule in calculus?
- What is the quotient rule in calculus?
Answer key:
- A derivative is the rate at which a function changes.
- The formula for finding the derivative of a function is f'(x) = lim(h->0) [f(x+h) - f(x)] / h.
- The chain rule in calculus is a formula for computing the derivative of a composite function.
- The product rule in calculus is a formula for computing the derivative of a product of two functions.
- The quotient rule in calculus is a formula for computing the derivative of a quotient of two functions.