Mathematics Functions and Notations Quiz
20 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the solution of $1 \rac{1}{1+x^2} dx$?

  • $0$
  • $1$
  • $x = 1$
  • $ ext{sin } x$ (correct)
  • What does $rac{d}{dx} \rac{x^2}{2}$ equal to?

  • $x^2 dx$
  • $3x^2 dx$ (correct)
  • $x^2 - 1$
  • $3x + 1$
  • What is the integral of $tan(3x) \rac{ln 3}{4} dx$?

  • $x + c$
  • $rac{1}{4}$
  • $ ext{ln(sin } x) + c$
  • $rac{ ext{ln } 3}{4} sec^2 4$ (correct)
  • What is the slope of a line parallel to the x-axis?

    <p>$0$</p> Signup and view all the answers

    Under what condition will the lines represented by $ax^2 + 2hxy + by^2 = 0$ be perpendicular (orthogonal)?

    <p>$h^2 - ab = 0$</p> Signup and view all the answers

    What is the range of the function 𝑓(𝑥) = √𝑥^2 − 9?

    <p>-1</p> Signup and view all the answers

    What is the derivative of 𝑐𝑜𝑠(𝑥) with respect to 𝑐𝑜𝑠(𝑥)?

    <p>0</p> Signup and view all the answers

    If 𝐟(𝐱) = 𝑐𝑜𝑠(𝐱), then what is the derivative 𝐟 ′ ( )?

    <p>sec 2 x + c</p> Signup and view all the answers

    If the function 𝑓(𝑥) has a maximum value at 𝑥 = 𝑐, then what is the value of 𝐟 ′ (𝑐)?

    <p>1</p> Signup and view all the answers

    What is the integral of 𝑡𝑎𝑛(𝑥) with respect to 𝑡𝑎𝑛(𝑥)?

    <p>-1</p> Signup and view all the answers

    What is the domain of the function f: X→Y defined by f(x) = C, ∀ x ∈X, y∈Y?

    <p>X</p> Signup and view all the answers

    If f: X→Y is a function, then what is X called?

    <p>Domain</p> Signup and view all the answers

    What is the range of the function f(x) = √𝒙 + 𝟐 for x ≥ 1?

    <p>[1, +∞)</p> Signup and view all the answers

    Which one represents Leibniz notation for the derivative of f(x)?

    <p>$𝒅𝒇 𝒅𝒙$</p> Signup and view all the answers

    What is the derivative of tan(x) with respect to tan(x)?

    <p>1</p> Signup and view all the answers

    What is the solution of the differential equation 𝑦dx+xdy=0?

    <p>xy=c</p> Signup and view all the answers

    If the function 𝑓(𝑥) has a maximum value at 𝑥 = 𝑐, then what is the value of 𝐟 ′ (𝐱)?

    <p>Zero</p> Signup and view all the answers

    What is the equation of a horizontal line through the point (𝟑, 𝟏)?

    <p>y = 1</p> Signup and view all the answers

    What is the range of the function 𝑓(𝑥) = √𝑥^2 − 9?

    <p>[0,+∞)</p> Signup and view all the answers

    What is the derivative of 𝑐𝑜𝑠(𝑥) with respect to 𝑐𝑜𝑠(𝑥)?

    <p>0</p> Signup and view all the answers

    More Like This

    Functions in Algebra
    10 questions

    Functions in Algebra

    WellRoundedPanther avatar
    WellRoundedPanther
    Functions in Math
    5 questions

    Functions in Math

    AdmiringHealing avatar
    AdmiringHealing
    Domain and Range of Functions
    4 questions
    Mathematics Relations and Functions
    4 questions
    Use Quizgecko on...
    Browser
    Browser