Derivative & Integral Formulas
Authored by Jake Christiansen
Mathematics
11th Grade - University
CCSS covered
Used 831+ times
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About
This quiz covers differential and integral calculus, focusing on fundamental derivative and integral formulas that form the foundation of calculus education. The content is appropriate for grades 11-12, corresponding to Advanced Placement Calculus AB or BC courses. Students need to demonstrate mastery of basic differentiation rules including the power rule, derivatives of trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant), exponential functions (e^x and a^x), logarithmic functions, and advanced techniques like the product rule and quotient rule. The integral portion requires knowledge of antiderivatives for polynomial functions, trigonometric integrals, and inverse trigonometric functions. Students must understand the relationship between differentiation and integration as inverse operations, recognize standard forms, and apply constant of integration when finding indefinite integrals. Created by Jake Christiansen, a Mathematics teacher in US who teaches grade 11-13. This quiz serves as an excellent tool for reinforcing memorization of essential calculus formulas that students must recall instantly during problem-solving. Teachers can utilize this assessment as a warmup activity to activate prior knowledge before introducing more complex applications, as homework to reinforce classroom instruction, or as formative assessment to identify which fundamental formulas require additional practice. The format works particularly well for review sessions before major exams, allowing students to quickly test their recall of derivatives and integrals in isolation before tackling multi-step problems. This quiz aligns with standards CCSS.MATH.CONTENT.HSF.IF.B.4 for interpreting key features of functions and their derivatives, and supports the foundational skills required for AP Calculus standards focusing on limits, derivatives, integrals, and the Fundamental Theorem of Calculus.
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35 questions
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1.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
What is the derivative of xn?
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
What is the derivative of ln(x)?
Tags
CCSS.HSF.BF.B.5
3.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
What is the derivative of sin(x)?
4.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
What is the derivative of cos(x)?
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the derivative of tan(x)?
Tags
CCSS.HSF.TF.C.9
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the derivative of cot(x)?
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the derivative of sec(x)?
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