Basic Derivatives
Authored by HS Math
Mathematics
10th - 12th Grade
CCSS covered
Used 472+ times
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This quiz comprehensively covers basic derivative concepts appropriate for high school calculus students in grades 11-12. The questions assess fundamental differentiation skills including the power rule, constant rule, and sum rule, progressing to more complex applications like the product rule and quotient rule. Students need a solid foundation in algebraic manipulation, understanding of function notation, and the conceptual knowledge that derivatives represent instantaneous rates of change or slopes of tangent lines. The quiz systematically builds from simple polynomial derivatives to rational functions, fractional exponents, and trigonometric functions, requiring students to apply multiple differentiation rules and interpret the geometric meaning of derivatives. Advanced topics include second derivatives, evaluating derivatives at specific points, and analyzing where functions are differentiable, demanding both computational fluency and conceptual understanding of continuity and differentiability. Created by HS Math, a Mathematics teacher in US who teaches grade 10-12. This quiz serves as an excellent tool for formative assessment, allowing teachers to gauge student understanding of derivative fundamentals before advancing to more complex applications like optimization and related rates. The comprehensive nature makes it ideal for unit review sessions, homework assignments, or warm-up activities to reinforce procedural skills. Teachers can use this for differentiated instruction by assigning specific question subsets based on student readiness levels, or as a complete assessment to identify areas needing remediation. The quiz aligns with Common Core Standards HSF-IF.B.6 for calculating and interpreting average rate of change, and supports preparation for AP Calculus standards covering basic differentiation techniques and the relationship between derivatives and rates of change.
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33 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
f(x)=5
find f'(x)
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
f(x)=x3
f'(x)=
Tags
CCSS.HSF.IF.A.2
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
g(x)=7x+1
g'(x)=
Tags
CCSS.HSF.IF.A.2
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
y=5x2+ 3x + 9
dy/dx =
Tags
CCSS.HSF.IF.A.2
CCSS.HSA.APR.A.1
CCSS.HSF.IF.A.1
CCSS.HSA.CED.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
y=9
dy/dx=
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
y=√x
dy/dx=
Tags
CCSS.HSF-BF.B.4A
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Here's a tricky one. Consult your pink sheet.
f(x)= 5/x2
df/dx=?
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