Calculus and Derivatives Quiz
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Questions and Answers

What does the hyphen operator do when used in a Google search?

  • Eliminates undesired matches from the return results (correct)
  • Returns pages with both preceding and following terms
  • Returns matches from a specific website
  • Stops Google from using synonyms for the search term
  • Which search query is best used for finding only matches from answers.yahoo.com?

  • Job find site: answers.yahoo.com
  • Job search +answers.yahoo.com
  • Job search site:answers.yahoo.com (correct)
  • Job search restrict:answers.yahoo.com
  • Which search query returns pages describing horrible credit?

  • "bad credit" | "poor credit"
  • Bad | poor credit
  • Poor credit
  • ~bad credit (correct)
  • Who developed Google Drive?

    <p>Google Inc</p> Signup and view all the answers

    What is the main purpose of Google Sheets?

    <p>Storing and processing large amounts of data</p> Signup and view all the answers

    What does the active cell in Google Sheets allow you to do?

    <p>Enter or edit data</p> Signup and view all the answers

    What does the term 'spreadsheet range' refer to in Google Sheets?

    <p>A set of cells forming a rectangular area in the table</p> Signup and view all the answers

    What happens to relative links when moving or copying a spreadsheet in Google Sheets?

    <p>Converted depending on the new position of the formula</p> Signup and view all the answers

    What is the correct method to share files on Google Drive?

    <p>All of the above</p> Signup and view all the answers

    What is the correct derivative of $81(u/v)'$?

    <p>$(u'·v-u·v')/v^2$</p> Signup and view all the answers

    Which of the following is the correct derivative of $83.√x$?

    <p>$1/2√x$</p> Signup and view all the answers

    What is the derived function of $f(x)=4log5x+log56-3/x$?

    <p>$4/xln5+3/x^2$</p> Signup and view all the answers

    What is integration?

    <p>The operation of finding the integral</p> Signup and view all the answers

    In finding the derivative of y=(x-5x^2)e^x - (1-10x)e^x, what is the correct expression?

    <p>(1-10x)e^x+(x-5x^2)e^x</p> Signup and view all the answers

    For the antiderivative of f(x)= x^2 - sin(2x), what is the correct expression?

    <p>F(x)=x^3/3+cos(2x)/2+C</p> Signup and view all the answers

    What is the correct derivative for y= cos(5x-2) –ln10?

    <p>-5sin(5x-2) - 5sin(5x-2) + ln10 - sin(5x-2)</p> Signup and view all the answers

    Study Notes

    Google Search Operators

    • The hyphen operator (-) in a Google search excludes a specific term from the search results.

    Search Queries

    • To find only matches from answers.yahoo.com, use the search query "site:answers.yahoo.com".
    • To find pages describing horrible credit, use the search query "horrible credit".

    Google Drive

    • Google Drive was developed by Google.

    Google Sheets

    • The main purpose of Google Sheets is to create and edit spreadsheets online.
    • The active cell in Google Sheets allows you to enter or edit data.
    • A 'spreadsheet range' in Google Sheets refers to a group of cells that are selected or referenced together.
    • When moving or copying a spreadsheet in Google Sheets, relative links are updated to reflect the new location.

    Google Drive File Sharing

    • To share files on Google Drive, the correct method is to right-click on the file, select "Get link," and then adjust the sharing settings as needed.

    Calculus

    • The derivative of $81(u/v)'$ is not provided.
    • The derivative of $83.√x$ is $(83/2)x^{-1/2}$.
    • The derived function of $f(x)=4log5x+log56-3/x$ is $f'(x)=(4/x) - (3/x^2)$.
    • Integration is the reverse operation of differentiation, used to find the antiderivative of a function.
    • The derivative of $y=(x-5x^2)e^x - (1-10x)e^x$ is $y'= [(1-10x)e^x - (1-10x)e^x] + [(x-5x^2)e^x - (10x-30x^2)e^x]$.
    • The antiderivative of $f(x)= x^2 - sin(2x)$ is $(1/3)x^3 + (1/2)cos(2x) + C$.
    • The derivative of $y= cos(5x-2) –ln10$ is $y'= -5sin(5x-2)$.

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    Description

    Test your knowledge on calculus and derivatives with this quiz covering derivative rules, functions, and integration. Questions include finding derivatives, solving integrals, and understanding derivative operations.

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