Derivative of inverse trigonometric functions
Authored by Cate Cion
Mathematics
12th Grade - University
CCSS covered
Used 158+ times
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This quiz focuses on the derivatives of inverse trigonometric functions, a fundamental topic in advanced calculus typically covered in grade 12 or pre-calculus courses. Students working with these problems need a solid foundation in differentiation rules, chain rule applications, and the relationships between trigonometric and inverse trigonometric functions. The core concepts required include understanding how inverse functions relate to their original functions, applying the derivative formula for inverse functions, and recognizing the specific derivative formulas for arcsin, arccos, arctan, and other inverse trigonometric functions. Students must also demonstrate proficiency in algebraic manipulation and the ability to simplify expressions involving radicals and rational functions that commonly appear in these derivatives. Created by Cate Cion, a Mathematics teacher in PH who teaches grade 12. This quiz serves as an excellent tool for reinforcing student understanding of inverse trigonometric derivatives through targeted practice problems. Teachers can effectively use this assessment as a formative evaluation after introducing the derivative formulas for inverse trigonometric functions, or as a review activity before unit exams. The multiple-choice format makes it ideal for quick warm-up exercises at the beginning of class or as homework assignments that allow students to self-check their understanding. This quiz aligns with standards CCSS.MATH.CONTENT.HSF.TF.B.6 and CCSS.MATH.CONTENT.HSF.TF.B.7, which focus on understanding and applying trigonometric functions and their inverses in various mathematical contexts.
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18 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Tags
CCSS.HSF.TF.B.7
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Tags
CCSS.HSF.TF.B.7
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Tags
CCSS.HSF-BF.B.4A
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Tags
CCSS.HSF.TF.B.7
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