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About this document
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- 30 pages
- Price
- $30 one-time, yours to keep
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- Format
- Subject
- Calculus, Mathematics
- Module
- MA302 · Week 6
This document contains 25 multiple-choice questions from a Week 6 Calculus I test. It covers derivatives, implicit differentiation, and chain rule applications. It helps students prepare for their Calculus I exam.
What's inside
- Derivatives of functions
- Implicit differentiation
- Chain rule applications
- Second derivatives
- Function composition
- Trigonometric functions
Who it is for: Students taking the MA302 Calculus I course. (Undergraduate)
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Summary
Calculus I is a branch of mathematics. Students get practice with questions on derivatives and implicit differentiation.
Derivatives of functions
Students find derivatives of functions. These functions include trigonometric, exponential and composite functions. Students use the chain rule.
Implicit differentiation
Students use implicit differentiation to find dy/dx. The equations are not in the form y = f(x). Students differentiate both sides with respect to x.
Second derivatives
Students find the second derivative of a function. They first find the first derivative, then differentiate again.
Composite functions
Students write a function as y = f(u) and u = g(x). They find dy/dx using the chain rule.
Key terms
- Chain rule
- A method to find the derivative of a composite function.
- Implicit differentiation
- A method to find dy/dx when the equation is not in the form y = f(x).
- Second derivative
- The derivative of the derivative of a function.
- Composite functions
- A function made up of two or more functions.
- Derivative
- The rate at which a function is changing.
- Trigonometric functions
- Functions involving sine, cosine, tangent and other trigonometric ratios.
Questions this document helps with
- How do I find the derivative of a composite function?
- What is implicit differentiation?
- How do I find the second derivative of a function?
Summary written with AI from the document's text.
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