DIFFERENTIATION RULES QUIZ
Authored by ynah gonzales
Mathematics
11th Grade
CCSS covered
Used 158+ times
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This quiz comprehensively covers differentiation rules in calculus, targeting Grade 11 students who are learning to find derivatives of various function types. The content spans fundamental concepts including the power rule, product rule, quotient rule, chain rule, and implicit differentiation, along with derivatives of trigonometric, exponential, and logarithmic functions. Students need a solid understanding of algebraic manipulation, function composition, and the conceptual meaning of derivatives as instantaneous rates of change. The problems require mastery of when and how to apply specific differentiation techniques, from basic polynomial derivatives to complex composite functions involving exponential and trigonometric expressions. Students must recognize function structures to select appropriate rules and execute multi-step calculations accurately, demonstrating both procedural fluency and conceptual understanding of derivative operations. Created by Ynah Gonzales, a Mathematics teacher in PH who teaches grade 11. This quiz serves as an excellent tool for formative assessment, allowing teachers to evaluate student mastery of differentiation techniques before moving to more advanced calculus topics like integration or applications of derivatives. The variety of question types makes it ideal for review sessions, homework assignments, or warm-up activities to reinforce previously taught concepts. Teachers can use this quiz to identify specific areas where students struggle, whether with recognizing when to apply certain rules or with the computational aspects of finding derivatives. The mix of basic rule identification and complex application problems supports differentiated instruction, helping students build confidence while challenging them to apply multiple rules within single problems. This assessment aligns with standards covering derivatives of polynomial, trigonometric, exponential, and logarithmic functions, supporting curriculum objectives for advanced mathematics courses.
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35 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the derivative of
f(x) = (x6 + 4)5
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Derivative of sinx
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find dy/dx by Implicit Differentiation
9y + x = 4y
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Derivative of cosx
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find dy/dx if y = (cscx + 1)7
Tags
CCSS.HSF-BF.B.4A
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the derivative of f(x) = x2sinx
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