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About this document
- Pages
- 29 pages
- Price
- $29 one-time, yours to keep
- Membership
- Included in every plan
- Format
- Subject
- Calculus, Mathematics
- Module
- MA302 · Week 5
This document contains 25 multiple-choice questions on derivatives for MA302 Calculus I. It helps students prepare for their Week 5 quiz. The questions cover finding first and second derivatives of various functions.
What's inside
- Finding the first derivative of a polynomial
- Finding the first derivative of a product of polynomials
- Finding the second derivative of a polynomial with an exponential term
- Finding the derivative of a function with an exponential term
- Finding the derivative of a function with a rational exponent
Who it is for: Students taking MA302 Calculus I in Week 5. (Undergraduate)
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Summary
Derivatives are a core topic in calculus. Students get practice in finding first and second derivatives of various functions.
First derivative of a polynomial
A function is given. Students must find its first derivative. The function is a polynomial. Several choices are given. Only one is correct.
First derivative of a product
A function is given. Students must find its first derivative. The function is a product of two polynomials. Several choices are given. Only one is correct.
Second derivative of a function
A function is given. Students must find its second derivative. The function includes a polynomial and an exponential term. Several choices are given. Only one is correct.
First derivative of a function
A function is given. Students must find its first derivative. The function includes a polynomial and an exponential term. Several choices are given. Only one is correct.
Key terms
- derivative
- The rate at which a function is changing at a given point.
- first derivative
- The derivative of a function, found by differentiating the function once.
- second derivative
- The derivative of the derivative of a function, found by differentiating twice.
- polynomial
- An expression consisting of variables and coefficients, involving operations of addition, subtraction, and multiplication, and non-negative integer exponents.
- exponential term
- A term in a function that involves an exponential expression, such as e^x.
- product
- The result of multiplying two or more quantities.
Questions this document helps with
- How do you find the first derivative of a polynomial?
- What is the product rule for derivatives?
- How do you find the second derivative of a function?
Summary written with AI from the document's text.
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